Theory of Fuzzy Sets

Topics are

• Fuzzy Sets 
• Membership Functions
• Lattice-Valued Fuzzy Sets
• Intuitionistic Fuzzy Sets
• Fuzzy Connectives
• Fuzzy Numbers
• Ranking Fuzzy Numbers
• Defuzzification
• Extension Principle
• Fuzzy Real Analysis
• Fuzzy Topology
• Fuzzy Linear Systems
• Fuzzy Differential and Integral Equations
• Fuzzy Matrix
• Fuzzy Logics
• Fuzzy Metric Spaces
• Possibility
• t-norms

\begin{equation}{\label{a}}\tag{A}\mbox{}\end{equation}

Fuzzy Sets.

\item Alsina, C. and Trillas, E.:
On the Symmetric Difference of Fuzzy Sets,
{\em Fuzzy Sets and Systems} 153 (2005) 181-194.

\item Araabi, B.N., Kehtarnavaz, N. and Lucas, C.:
Restrictions Imposed by the Fuzzy Extension of Relations and Functions,
{\em Journal of Intelligent and Fuzzy Systems} 11 (2001) 9-22.

\item Babdemer, H. :
A Special Measure of Uncertainty,
{\em Fuzzy Sets and Systems} 38 (1990) 281-287.

\item Bellman, R.R. and Giertz, M. :
On the Analytic Formalism of Theory of Fuzzy Sets.
{\em Information Sciences} 5 (1973) 149-156.

\item B\v{e}lohl\'{a}vek, R.:
A Note on the Extension Principle,
{\em Journal of Mathematical Analysis and Applications} 248 (2000) 678-682.

\item Bobylev, V.N. :
Support Function of a Fuzzy Set and Its Characterstic Properties,
{\em Math. Notes} 37 (1985) 281-285.

\item Bollmann-Sdorra, P., Wong, S.K.M. and Yao, Y.Y. :
A Measure-Theoretic Axiomatization of Fuzzy Sets,
{\em Fuzzy Sets and Systems} 60 (1993) 295-307.

\item Buckley, J.J. :
Generalized and Extended Fuzzy Sets with Applications,
{\em Fuzzy Sets and Systems} 25 (1988) 159-174.

\item Buckley, J.J. :
A General Theory of Uncertainty Based on t-conorms,
{\em Fuzzy Sets and Systems} 49 (1992) 261-269.

\item Chalco-Cano, Y., Rom\'{a}n-Flores, H. and Gomide,F.:
A New Type of Approximation for Fuzzy Intervals,
{\em Fuzzy Sets and Systems} 159 (2008) 1376-1383.

\item Chen, D., Jiang, J., Wu, C. and Tsang, E.C.C.:
Some Notes on Equivalent Fuzzy Sets and Fuzzy Subgroups,
{\em Fuzzy Sets and Systems} 152 (2005) 403-409.

\item Chen, S.-M.:
Measures of Similarity between Vague Sets,
{\em Fuzzy Sets and Systems} 74 (1995) 217-223.

\item De Luca, A. \& Termini, S. :
Algebraic Properties of Fuzzy Sets,
{\em J. Math. Anal. Appl.} 40 (1972) 373-386.

\item Demirci, M.:
Genuine Sets, Various Kinds of Fuzzy Sets and Fuzzy Rough Sets,
{\em International Journal of Uncertainty, Fuziness and Knowledge-Based
Systems} 11 (2003) 467-494.

\item Deschrijver, G. and Vroman, A.:
Generalized Arithmetic Operations in Interval-Valued Fuzzy Set Theory,
{\em Journal of Intelligent and Fuzzy Systems{ 16 (2005) 265-271.

\item Diamond, P. :
Fuzzy Kriging,
{\em Fuzzy Sets and Systems} 33 (1989) 315-332.

\item Diamond, P. :
A Note on Fuzzy Starshaped Fuzzy Sets,
{\em Fuzzy Sets and Systems} 37 (1990) 193-199.

\item Diamond, P. :
Convergence Classes of Fuzzy Sets Form a Banach Space,
{\em J. Math. Anal. Appl.} 162 (1991) 144-151.

\item Diamond, P \& Kloeden, P.E. :
Characterization of Compact Subsets of Fuzzy Sets,
{\em Fuzzy Sets and Systems} 29 (1989) 341-348.

\item Drewniak, J. :
Convex and Strongly Convex Fuzzy Sets,
{\em J. Math. Anal. Appl.} 126 (1987) 292-300.

\item Dubois, D. and Prade, H. :
Evidence Measures Based on Fuzzy Information.
{\em Automatica} 21 (1985) 547-562.

\item Dubois, D. anf Prade, H. :
A Set-theoretic View of Belief Functions : Logical Operations and
Approximations by Fuzzy Sets.
{\em Int. J. General Systems} 12 (1986) 193-226.

\item Dubois, D. and Prade H. :
Rough Fuzzy Sets and Fuzzy Rough Sets.
{\em International Journal of General Systems} 17 (1990) 191-209.

\item Dujet, C. :
Separation and Measures of Fuzziness,
{\em Fuzzy Sets and Systems} 28 (1988) 245-262.

\item Furukawa, N.:
Convexity and Local Lipschitz Continuity of Fuzzy-Valued Mappings,
{\em Fuzzy Sets and Systems} 93 (1998) 113-119.

\item Garc\'{i}a, J.G. and Rodabaugh, S.E.:
Oredr-Theoretic, Topological, Categorical Redundancies of Interval-Valued
Sets, Grey Sets, Vague Sets, Interval-Valued “Intuitionistic” Sets,
“Intuitionistic” Fuzzy Sets and Topologies,
{\em Fuzzy Sets and Systems} 156 (2005) 445-484.

\item Gau, W.-L. and Buehrer, D.J.:
Vague Sets,
{\em IEEE Trans. on Systems, Man, and Cybernetics} 23 (1993) 610-613.

\item Goguen, J.A. :
L-fuzzy Sets.
{\em Journal of Mathematical Analysis and Applications} 18 (1967)
145-174.

\item Higashi, M. \& Klir, G.J. :
On Measures of Fuzziness and Fuzzy Complements,
{\em Int. J. General Systems} 8 (1982) 169-180.

\item Hirota, K. \& Pedrycz, W. :
A Distributed Model of Fuzzy Set Connectives,
{\em Fuzzy Sets and Systems} 68 (1994) 157-170.

\item Hisdal, E. :
Are Grades of Membership Probabilities,
{\em Fuzzy Sets and Systems} 25 (1988) 325-348.

\item Hong, D.H.:
A Convexity Problem and a New Proof for Linearity Preserving Additions of Fuzzy Intervals,
{\em Fuzzy Sets and Systems} 159 (2008) 3388-3392.

\item Inuiguchi, M. and Tchihashi, H. :
Some Properties of Extended Fuzzy Preference Relations Using Modalities.
{\em Information Sciences} 61 (1992) 187-209.

\item Kandel, A. and Byatt, W.J. :
Fuzzy Processes.
{\em Fuzzy Sets and Systems} 4 (1980) 117-152.

\item Klement, E.P., Mesiar, R. \& Pap, E. :
A Characterization of the Ordering of Continuous t-norms,
{\em Fuzzy Sets and Systems} 86 (1997) 189-195.

\item Li, H.-X. :
Multifactorial Functions in Fuzzy Sets Theory.
{\em Fuzzy Sets and Sustems} 35 (1990) 69-84.

\item Li, S.-Y., Chen, D.-G., Gu, W.-X. and Wang, H.:
Fuzzy Homomorphism,
{\em Fuzzy Sets and Systems} 79 (1996) 235-238.

\item Mabuchi, S. :
An Approach to the Comparison of Fuzzy Subsets with an $\alpha$-cut Dependent
Index,
{\em IEEE Transactions on Systems, man, and Cybernetics} 18 (1988) 264-272.

\item Matloka, M.:
Convex Fuzzy Processes,
{\em Fuzzy Sets and Systems} 110 (2000) 109-114.

\item Mayor, G. \& Torrens, J. :
On a Family of t-Norms,
{\em Fuzzy Sets and Systems} 41 (1991) 161-166.

\item Mili\'{c}, S. and Tepav\v{c}evi\'{c}, A.:
On $P$-Fuzzy Correspondences and Generalized Associativity,
{\em Fuzzy Sets and Systems} 96 (1998) 223-229.

\item Miyamoto, S.:
Remarks on Basics of Fuzzy Sets and Fuzzy Multisets,
{\em Fuzzy Sets and Systems} 156 (2005) 427-431.

\item Mizumoto, M. and Tanaka, K. :
Some Properties of Fuzzy Sets of Type 2.
{\em Information and Control} 31 (1976) 312-340.

\item Murali, V. and Makamba, B.B.:
On an Equivalence of Fuzzy Subgroups I and II
{\em Fuzzy Sets and Systems} 123 (2001) 259-264, and 136 (2003) 93-104.

\item Nahmias, S. :
Fuzzy Variables.
{\em Fuzzy Sets and Systems} 1 (1978) 97-110.

\item Nakajima, N. :
Generalized Fuzzy Sets,
{\em Fuzzy Sets and Systems} 32 (1989) 307-314.

\item Negoita, C.V. and Ralescu, D.A. :
Representation Theorems for Fuzzy Concepts.
{\em Kybernetes} 4 (1975) 169-174.

\item Nguyen, H.T. :
A Note on the Extension Principle for Fuzzy Sets.
{\em Journal of Mathematical Analysis and Applications} 64 (1978) 369-380.

\item Nov\'{a}k, V.:
Are Fuzzy Sets a Reasonable Tool for Modeling Vague Phenomena?
{\em Fuzzy Sets and Systems} 156 (2005) 341-348.

\item Pawlak, Z. :
Rough Sets.
{\em International Journal of Computer and Information Sciences} 11 (1982) 341-356.

\item Peeva, K. :
Fuzzt Linear Systems,
{\em Fuzzy Sets and Systems} 49 (1992) 339-355.

\item Prade, H. :
Modal Semantics and Fuzzy Set Theory.
{\em Fuzzy Set and Possibility Theory} (Edited by Yager,R.R.) 232-246.

\item Qiu, D., Shu, L. and Mo, Z.-W.:
On Starshaped Fuzzy Sets,
{\em Fuzzy Sets and Systems} 160 (2009) 1563-1577.

\item Raedcki, T. :
Level Fuzzy Sets.
{\em Journal of Cybernetics} 7 (1977) 189-198.

\item Ralescu, D. :
Toward a General Theory of Fuzzy Variables.
{\em Journal of Mathematical Analysis and Applications} 86 (1982) 176-193.

\item Rao, M.B. and Rashed, A. :
Some Comments on Fuzzy Variables.
{\em Fuzzy Sets and Systems} 6 (1981) 285-292.

\item Saaty, T.L. :
Scaling the Membership Function,
{\em European J. Operational Research} 25 (1986) 320-329.

\item Saidi, F.B. and Jabalah, A.:
Uniqueness in the Generalized Representation by Fuzzy Sets,
{\em Fuzzy Sets and Systems} 159 (2008) 2176-2184.

\item Sancho-Royo, A. and Verdegay, J.L.:
On the Definition of Coherence Measure for Fuzzy Sets,
{\em International Journal of Uncertainty, Fuziness and Knowledge-Based Systems} 12 (2004) 129-144.

\item Sarkar, D.:
Concaveconvex Fuzzy Set,
{\em Fuzzy Sets and Systems} 79 (1996) 267-269.

\item \v{S}e\v{s}elja, B.:
Lattice of Partially Ordered Fuzzy Sublgebras,
{\em Fuzzy Sets and Systems} 81 (1996) 265-269.

\item \v{S}e\v{s}elja, B.:
Homomorphism of Poset-Valued Algebras,
{\em Fuzzy Sets and Systems} 121 (2001) 333-340.

\item \v{S}e\v{s}elja, B. and Tepav\v{c}evi\'{c}, A.:
Fuzzy Groups and Collections of Subgroups,
{\em Fuzzy Sets and Systems} 83 (1996) 85-91.

\item \v{S}e\v{s}elja, B. and Tepav\v{c}evi\'{c}, A.:
On a Representation of Posets by Fuzzy Sets,
{\em Fuzzy Sets and Systems} 98 (1998) 127-132.

\item \v{S}e\v{s}elja, B. and Tepav\v{c}evi\'{c}, A.:
Completion of Ordered Structures by Cuts of Fuzzy Sets: An Overview,
{\em Fuzzy Sets and Systems} 136 (2003) 1-19.

\item \v{S}e\v{s}elja, B. and Tepav\v{c}evi\'{c}, A.:
Representing Ordered Structures by Fuzzy Sets: An Overview,
{\em Fuzzy Sets and Systems} 136 (2003) 21-39.

\item \v{S}e\v{s}elja, B. and Tepav\v{c}evi\'{c}, A.:
A Note on a Natural Equivalence Relation on Fuzzy Power Set,
{\em Fuzzy Sets and Systems} 148 (2004) 201-210.

\item Tahayori, H., Tettamanzi, A.G.B., Antoni, G.D. and Visconti, A.:
On the Calculation of Extended Max and Min Operations between Convex Fuzzy Sets of the Real Line,
{\em Fuzzy Sets and Systems} 160 (2009) 3103-3114.

\item Tepav\v{c}evi\'{c}, A. and Trajkovski, G.:
L-Fuzzy Lattices: An Introduction,
{\em Fuzzy Sets and Systems} 123 (2001) 209-216.

\item Ter\'{a}n, P.:
An Embedding Theorem for Convex Fuzzy Sets,
{\em Fuzzy Sets and Systems} 152 (2005) 191-208.

\item Triantaphyllou, E. \& Mann, S.H. :
An Evaluation of the Eigenvalue Approach for Determining the Membership Values in Fuzzy Sets,
{\em Fuzzy Sets and Systems} 35 (1990) 295-301.

\item Wang, C,-C. \& Don, H.-S. :
A Modified Measure for Fuzzy Subsethood,
{\em Information Sciences} 79 (1994) 223-232.

\item Wei, L.-L. and Zhang, W.-X.:
Probabilistic Rough Sets Characterized by Fuzzy Sets,
{\em International Journal of Uncertainty, Fuzziness and Knowledge-Based
Systems} 12 (2004) 47-60.

\item Weiss, M.D. :
Fixed Points, Seapartion, and Induced Topologies for Fuzzy Sets,
{\em J. Math. Anal. Appl.} 50 (1975) 142-150.

\item Xu, C.-W. :
On Convexity of Fuzzy Sets and Fuzzy Relations,
{\em Information Sciences} 59 (1992) 91-102.

\item Xu, L.Q. :
Continuity and Identity Laws in the Axiomatic Basis of Fuzzy Set Operations,
{\em Fuzzy Sets and Systems} 89 (1997) 121-124.

\item Yager, R.R. :
On the Lack of Inverses in Fuzzy Arithmetic.
{\em Fuzzy Sets and Systems} 4 (1980) 73-82.

\item Yager, R.R. :
Some Relationships between Possibility, Truth and Certainty.
{\em Fuzzy Sets and Systems} 11 (1983) 151-156.

\item Yager, R.R. :
Constrained OWA Aggregation,
{\em Fuzzy Sets and Systems} 81 (1996) 89-101.

\item Yager, R.R. :
On Choosing between Fuzzy Subsets,
{\em Kybernetes} 9 (1980) 151-154.

\item Yoshida, Y., Yasuda, M., Nakagami, J.-I. \& Kurano, M. :
A Potential of Fuzzy Relations with a Linear Structure : The Contractive Case,
{\em Fuzzy Sets and Systems} 60 (1993) 283-294.

\item Yoshida, Y., Yasuda, M., Nakagami, J.-I. \& Kurano, M. :
A Potential of Fuzzy Relations with a Linear Structure : The Unbounded Case,
{\em Fuzzy Sets and Systems} 66 (1994) 83-95.

\item Yuan, X.-H. and Lee, E.S.:
The Definition of Convex Fuzzy Subset,
{\em Computers and Mathematics with Applications} 47 (2004) 101-113.

\item Zadeh, L.A. :
Fuzzy Sets.
{\em Information and Control} 8 (1965) 338-353.

\begin{equation}{\label{b}}\tag{B}\mbox{}\end{equation}

Membership Functions.

\item Arslan, A. and Kaya, M.:
Determination of Fuzzy Logic Membership Functions Using Genetic
Algorithms,
{\em Fuzzy Sets and Systems} 118 (2001) 297-306.

\item Ba\v{g}is, A.:
Determining Fuzzy Membership Functions with Tabu Search — An Application
to Control,
{\em Fuzzy Sets and Systems} 139 (2003) 209-225.

\item Bharathi Devi, B. and Sarma, V.V.S.:
Estimation of Fuzzy Membership from Histograms,
{\em Information Sciences} 35 (1985) 43-59.

\item Chen, J.E. and Otto, K.N.:
Constructing Membership Functions Using Interpolation and Measurememt Theory,
{\em Fuzzy Sets and Systems} 73 (1995) 313-327.

\item Chen, Y.H., Wang, W.-J. and Chiu, C.-H.:
New Estimation Method for the Membership Values in Fuzzy Sets,
{\em Fuzzy Sets and Systems} 112 (2000) 521-525.

\item Dishkant, H.:
About Membership Functions Estimation,
{\em Fuzzy Sets and Systems} 5 (1981) 141-147.

\item Dombi, J.:
Membership Function as an Evaluation,
{\em Fuzzy Sets and Systems} 35 (1990) 1-21.

\item Mabuchi, S. :
An Interpretation of Membership Functions and the Properties of General Probabilistic Operators as Fuzzy Set Operators – Part I : Case of Type 1 Fuzzy Sets.
{\em Fuzzy Sets and Systems} 49 (1992) 271-283.

\item Mabuchi, S. :
Supplement to “An Interpretation of Membership Functions and the Probabilities of General Probabilistic Operator as Fuzzy Set Operators – Part I”,
{\em Fuzzy Sets and Systems} 89 (1997) 69-76.

\item Mabuchi, S.:
An Interpretation of Membership Functions and the Properties of General Probabilistic Operators as Fuzzy Set Operators. (II) Extension to Three-Valued and Interval-Valued Fuzzy Sets,
{\em Fuzzy Sets and Systems} 92 (1997) 31-50.

\item Medaglia, A.L., Fang, S.-C., Nuttle, H.L.W. and Wilson, J.R.:
An Efficient and Flexible Mechanism for Constructing Membership Functions,
{\em European Journal of Operational Research} 139 (2002) 84-95.

\item Medassani, S., Kim, J. and Krishnapuram,, R.:
An Overview of Memberhsip Function Generation Techniques for Pattern
Recognition,
{\em International Journal of Approximate Reasoning} 19 (1998) 391-417.

\item Norwich, A.M. and Turksen, I.B.:
A Model for the Measurement of Membership and the Consequences of Its
Empirical Implementation,
{\em Fuzzy Sets and Systems} 12 (1984) 1-25.

\item Pedrucz, W.:
Why Triangular Membership Functions?
{\em Fuzzy Sets and Systems} 64 (1994) 21-30.

\item Revent\'{o}s, V.T.:
Interpreting Membership Functions: A Constructive Approach,
{\em International Journal of Approximate Reasoning} 20 (1999) 191-207.

\item Simon, D.:
Sum Normal Optimization of Fuzzy Membership Functions,
{\em International Journal of Uncertainty, Fuziness and Knowledge-Based
Systems} 10 (2002) 363-384.

\item Tamaki, F., Kanagawa, A. and Ohta, H.:
Identification of Membership Functions Based on Fuzzy Observation Data,
{\em Fuzzy Sets and Systems} 93 (1998) 311-318.

\item Tang, K.S., Chan, C.Y. and Man, K.F.:
A Simultaneous Method for Fuzzy Memberships and Rules Optimization,
{\em IEEE International Conference on Industrial Technology}, 1996, 279-283.

\item Turksen, I.B.:
Measurement of Membership Functions and Their Acquisition,
{\em Fuzzy Sets and Systems} 40 (1991) 5-38.

\item Valliappan, S. and Pham, T.D.:
Constructing the Membership Function of a Fuzzy Set with Objective and
Subjective Information,
{\em Microcomputers in Civil Engineering} 8 (1993) 75-82.

\begin{equation}{\label{c}}\tag{C}\mbox{}\end{equation}

Lattice-Valued Fuzzy Sets.

\item Boustique, H., Mohapatra, R.N. and Richardson, G.:
Lattice-Valued Fuzzy Interior Operatos,
{\em Fuzzy Sets and Systems} 160 (2009) 2947-2955.

\item Craig, A. and J\'{a}ger, G.:
A Common Framework for Lattice-Valued Uniform Spaces and Probabilistic Uniform Limit Spaces,
{\em Fuzzy Sets and Systems} 160 (2009) 1177-1203.

\item Flores, P.V. and Richardson, G.: (L-Fuzzy Sets)
Lattice-Valued Space: Fuzzy Convergence,
{\em Fuzzy Sets and Systems} 157 (2006) 2706-2714.

\item Flores, P.V. and Richardson, G.:
Lattice-Valued Convergence: Diagonal Axioms,
{\em Fuzzy Sets and Systems} 159 (2008) 2520-2528.

\item J\'{a}ger, G.:
Subcategories of Lattice-Valued Convergence Spaces,
{\em Fuzzy Sets and Systems} 156 (2005) 1-24.

\item J\'{a}ger, G.:
Lattice-Valued Continuous Convergence is Induced by a Lattice-Valued Uniform Convergence Structure,
{\em Fuzzy Sets and Systems} 157 (2006) 2715-2724.

\item J\'{a}ger, G.:
Pretopological and Topological Lattice-Valued Convergence Spaces,
{\em Fuzzy Sets and Systems} 158 (2007) 424-435.

\item J\'{a}ger, G.:
Lattice-Valued Convergence Spaces and Regularity,
{\em Fuzzy Sets and Systems} 159 (2008) 2488-2502.

\begin{equation}{\label{d}}\tag{D}\mbox{}\end{equation}

Intuitionistic Fuzzy Sets.

\item Angelov, P.P.:
Optimization in an Intuitionistic Fuzzy Environment,
{\em Fuzzy Sets and Systems} 86 (1997) 299-306.

\item Atanassov, K.T.:
Remarks on the Intuitionistic Fuzzy Sets — III,
{\em Fuzzy Sets and Systems} 75 (1995) 401-402.

\item Atanassov, K.T.:
An Equality between Intuitionistic Fuzzy Sets,
{\em Fuzzy Sets and Systems} 79 (1996) 257-258.

\item Atanassov, K.T.:
Remark on the Intuitionistic Fuzzy Logics,
{\em Fuzzy Sets and Systems} 95 (1998) 127-129.

\item Atanassov, K.T.:
Two Theorems for Intuitionistic Fuzzy Sets,
{\em Fuzzy Sets and Systems} 110 (2000) 267-269.

\item Atanassov, K. and Gargov, G.:
Elements of Intuitionistic Fuzzy Logic. Part I,
{\em Fuzzy Sets and Systems} 95 (1998) 39-52.

\item Atanassova, L.C.:
Remark on the Cardinality of the Intuitionistic Fuzzy Sets,
{\em Fuzzy Sets and Systems} 75 (1995) 399-400.

\item Bustince, H., Barrenechea, E. and Mohedano, V.:
Intuitionistic Fuzzy Implication Operators — An Expression and Main Properties,
{\em International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems} 12 (2004) 387-406.

\item Bustince, H. and Burillo, P.:
Vague Sets are Intuitionistic Fuzzy Sets,
{\em Fuzzy Sets and Systems} 79 (1996) 403-405.

\item Coskun, E.:
Systems on Intuitionistic Fuzzy Special Sets and Intuitionistic Fuzzy
Special Measure,
{\em Information Sciences} 128 (2000) 105-118.

\item Demirci, M.:
Axiomatic Theory of Intuitionistic Fuzzy Sets,
{\em Fuzzy Sets and Systems} 110 (2000) 253-266.

\item Deschrijver, G., Cornelis, C. and Kerre, E.E.:
On the Representation of Intuitionistic Fuzzy $t$-Norms and $t$-Conorms,
{\em IEEE Transactions on Fuzzy Systems} 12 (2004) 45-61.

\item Dubois, D., Gottwald, S., Hajek, P., Kacprzyk, J. and Prade, H.:
Terminological Difficulties in Fuzzy Set Theory — The Case of
“Intuitionistic Fuzzy Sets”,
{\em Fuzzy Sets and Systems} 156 (2005) 485-491.

\item Garc\'{i}a, J.G. and Rodabaugh, S.E.:
Oredr-Theoretic, Topological, Categorical Redundancies of Interval-Valued
Sets, Grey Sets, Vague Sets, Interval-Valued “Intuitionistic” Sets,
“Intuitionistic” Fuzzy Sets and Topologies,
{\em Fuzzy Sets and Systems} 156 (2005) 445-484.

\item Grzegorzewski, P. and Mr\'{o}wka, E.:
Some Notes on Intuitionistic Fuzzy Sets,
{\em Fuzzy Sets and Systems} 156 (2005) 492-495.

\item Liu, H.-W. and Wang, G.-J.:
Multi-Criteria Decision-Making Methods Based on Intuitionistic Fuzzy Sets,
{\em European Journal of Operational Research} 179 (2007) 220-233.

\item Mitchell, H.B.:
Ranking-Intuitionistic Fuzzy Numbers,
{\em International Journal of Uncertainty, Fuzziness and Knowledge-Based
Systems} 12 (2004) 377-386.

\item Mondal, T.K. and Samanta, S.K.:
Topology of Interval-Valued Intuitionistic Fuzzy Sets,
{\em Fuzzy Sets and Systems} 119 (2001) 483-494.

\item Szmidt, E. and Kacprzyk, J.:
Entropy for Intuitionistic Fuzzy Sets,
{\em Fuzzy Sets and Systems} 118 (2001) 467-477.

\begin{equation}{\label{e}}\tag{E}\mbox{}\end{equation}

Fuzzy Connectives.

\item Alsina, C., Trillas, E. and Valverde, L.:
On Some Logical Connective for Fuzzy Sets Theory,
{\em J. Math. Anal. Appl.} 93 (1983) 15-26.

\item Amin, G.R.:
Notes on Properties of the OWA Weights Determination Model,
{\em Computers and Industrial Engineering} 52 (2007) 533-538.

\item Amin, G.R. and Emrouznejad, A.:
An Extended Minimax Disparity of Determine the OWA Operator Weights,
{\em Computers and Industrial Engineering} 50 (2006) 312-316.

\item Baczy\'{n}ski, M.:
On a Class of Distributive Fuzzy Implication,
{\em International Journal of Uncertainty, Fuziness and Knowledge-Based
Systems} 9 (2001) 229-238.

\item Baczy\'{n}ski, M.:
Cotrapositive Symmetry of Distributive Fuzzy Implications,
{\em International Journal of Uncertainty, Fuziness and Knowledge-Based
Systems} 10 (2002) 135-147.

\item Balasubramaniam, J. and Rao, C.J.M.:
On the Distributivity of Implication Operators over $T$ and $S$ Norms,
{\em IEEE Transactions on Fuzzy Systems} 12 (2004) 194-198.

\item Beliakov, G.:
Monotone Approximation of Aggregation Operators Using Least Squares Splines,
{\em International Journal of Uncertainty, Fuziness and Knowledge-Based
Systems} 10 (2002) 659-676.

\item Beliakov, G., Calvo, T. and Pradera, A.:
Absorbent Tuples of Aggregation Operators,
{\em Fuzzy Sets and Systems} 158 (2007) 1675-1691.

\item Beliakov, G. and Warren, J.:
Appropriate Choice of Aggregation Operators in Fuzzy Decision Support
Systems,
{\em IEEE Trans. on Fuzzy Systems} 9 (2001) 773-784.

\item Benvenuti, P., Vivona, D. and Divari, M.:
Aggregation Operators and Associated Fuzzy Measures,
{\em International Journal of Uncertainty, Fuzziness and Knowledge-Based
Systems} 9 (2001) 197-204.

\item Bronevich, A.G.:
On the Closure of Families of Fuzzy Measures under Eventwise Aggregations,
{\em Fuzzy Sets and Systems} 153 (2005) 45-70.

\item Burillo, P., Frago, N. and Fuentes, R.:
Inclusion Grade and Fuzzy Implication Operators,
{\em Fuzzy Sets and Systems} 114 (2000) 417-429.

\item Bustince, H., Barrenechea, E. and Mohedano, V.:
Intuitionistic Fuzzy Implication Operators — An Expression and Main Properties,
{\em International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems} 12 (2004) 387-406.

\item Bustince, H., Montero, J., Barrenechea, E. and Pagola, M.:
Semiautoduality in a Restricted Family of Aggregation Operators,
{\em Fuzzy Sets and Systems} 158 (2007) 1360-1377.

\item Calvo, T., Mesiar, R. and Yager, R.R.:
Quantitative Weights and Aggregation,
{\em IEEE Transactions on Fuzzy Systems} 12 (2004) 62-69.

\item Carlsson, C., Full\'{e}r, R. and Majlender, P.:
A Note on Constrained OWA Aggregation,
{\em Fuzzy Sets and Systems} 139 (2003) 543-546.

\item Chiang, J.-H.:
Aggregating Membership Values by a Choquet-Fuzzy-Integral Based Operator,
{\em Fuzzy Sets and Systems} 114 (2000) 367-375.

\item Choi, D.-Y.:
A New Aggregation Method in a Fuzzy Environment,
{\em Decision Support Systems} 25 (1999) 39-51.

\item Dubois, D. and Prade, H.:
A Review of Fuzzy Set Aggregation Connectives,
{\em Information Sciences} 36 (1985) 85-121.

\item Emrouznejad, A.:
MP-OWA: The Most Preferred OWA Operator,
{\em Knowledge-Based Systems} (2008)

\item Fern\'{a}ndez Salido, J.M. and Murakami, S.:
On $\beta$-Precision Aggregation,
{\em Fuzzy Sets and Systems} 139 (2003) 547-558.

\item Filev, D.P. and Yager, R.R.:
Analytic Properties of Maximum Entropy OWA Operators,
{\em Information Sciences} 85 (1995) 11-27.

\item Full\'{e}r, R. and Majlender, P.:
An Analytic Approach for Obtaining Maximal Entropy OWA Operator Weights,
{\em Fuzzy Sets and Systems} 124 (2001) 53-57.

\item Full\'{e}r, R. and Majlender, P.:
On Obtaining Minimal Variability OWA Operator Weights,
{\em Fuzzy Sets and Systems} 136 (2003) 203-215.

\item Koles\'{a}rov\'{a}, A.:
Construction of Kernel Aggregation Operators from Marginal Values,
{\em International Journal of Uncertainty, Fuziness and Knowledge-Based Systems} 10 (2002) 37-49.

\item Komorn\'{i}kov\'{a}, M.:
Aggregation Operators and Additive Generators,
{\em International Journal of Uncertainty, Fuziness and Knowledge-Based Systems} 9 (2001) 205-215.

\item Li, Y.-M. and Shi, Z.-K.:
Remarks on Uniform Aggregation Operators,
{\em Fuzzy Sets and Systems} 114 (2000) 377-380.

\item Li, Y.-M. and Shi, Z.-K.:
Weak Uninorm Aggregation Operators,
{\em Information Sciences} 124 (2000) 317-323.

\item Liu, X.:
On the Properties of Equidifferent OWA Operator,
{\em International Journal of Approximate Reasoning} 43 (2006) 90-107.

\item Liu, X. and Chen, L.:
On the Properties of Parametric Geometric OWA Operator,
{\em International Journal of Approximate Reasoning} 35 (2004) 163-178.

\item Liu, X. and Han, S.:
Orness and Parameterized RIM Quantifier Aggregation,
{\em International Journal of Approximate Reasoning} 48 (2008) 77-97.

\item Liu, X. and Lou, H.:
On the Equivalence of Some Approaches to the OWA Operator and
RIM Quantifier Determination,
{\em Fuzzy Sets and Systems} 159 (2008) 1673-1688.

\item Marichal, J.-L.:
On Sugeno Integral as an Aggregation Function,
{\em Fuzzy Sets and Systems} 114 (2000) 347-365.

\item Musilek, P., Guanlao, R. and Barreiro, G.:
Genetic Programming of Fuzzy Aggregation Operations,
{\em Journal of Intelligent and Fuzzy Systems} 16 (2005) 107-118.

\item Portilla, M.I., Burillo, P. and Eraso, M.L.:
Properties of the Fuzzy Composition Based on Aggregation Operators,
{\em Fuzzy Sets and Systems} 110 (2000) 217-226.

\item Ralescu, A.L. and Ralescu, D.A.:
Extensions of Fuzzy Aggregation,
{\em Fuzzy Sets and Systems} 86 (1997) 321-330.

\item Renaud, J., Levrat, E. and Fonteix, C.:
Weights Determination of OWA Operators by Parametric Identification,
{\em Mathematics and Computers in Simulation} 77 (2008) 499-511.

\item Ribeiro, R.A., Pereira, R.A.M.:
Generalized Mixture Operators Using Weighting Functions:
A Comparative Study with WA and OWA,
{\em European Journal of Operational Research} 145 (2003) 329-342.

\item Saminger, S., Mesiar, R. and Bodenhofer, U.:
Domination of Aggregation Operators and Preservation of Transitivity,
{\em International Journal of Uncertainty, Fuzziness and Knowledge-Based
Systems} 10 (2002) 11-35.

\item Skala, H.J.:
Generalized Comonotonically Additive Operators: Representations by Choquet Integrals,
{\em International Journal of Uncertainty, Fuziness and Knowledge-Based Systems} 10 (2002) 329-346.

\item Torra, V.:
Aggregation Operators and Models,
{\em Fuzzy Sets and Systems} 156 (2005) 407-410.

\item Wang, G.-J.:
On the Structure of Value Functional Bag Mappings,
{\em Fuzzy Sets and Systems} 95 (1998) 215-221.

\item Xu, Z.:
Dependent Uncertain Ordered Weighted Aggregation Operators,
{\em Information Fusion} 9 (2008) 310-316.

\item Yager, R.R.:
On a General Class of Fuzzy Connectives,
{\em Fuzzy Sets and Systems} 4 (1980) 235-242.

\item Yager, R.R.:
Connectives and Quantifiers in Fuzzy Sets,
{\em Fuzzy Sets and Systems} 40 (1991) 39-75.

\item Yager, R.R.:
Measures of Entropy and Fuzziness Related to Aggregation Operators,
{\em Information Sciences} 82 (1995) 147-166.

\item Yager, R.R.:
Choquet Aggregation Using Order Inducing Variables,
{\em International Journal of Uncertainty, Fuzziness and Knowledge-Based
Systems} 12 (2004) 69-88.

\item Yager, R.R.:
Prioritized Aggregation Operators,
{\em International Journal of Approximate Reasoning} 48 (2008) 263-274.

\item Yager, R.R. and Rybalov, A.:
Uniform Aggregation Operators,
{\em Fuzzy Sets and Systems} 80 (1996) 111-120.

\item Yager, R.R. and Rybalov, A.:
Noncommutative Self-Identity Aggregation,
{\em Fuzzy Sets and Systems} 85 (1997) 73-82.

\item Zarghami, M. and Szidarovszky, F.:
Fuzzy Quantifiers in Sensitivity Analysis of OWA Operator,
{\em Computers and Industrial Engineering} 54 (2008) 1006-1018.

\item Zimmermann, H.-J. and Zysno, P.:
Decisions and Evaluations by Hierarchical Aggregation of Information,
{\em Fuzzy Sets and Systems} 10 (1983) 243-260.

\begin{equation}{\label{f}}\tag{F}\mbox{}\end{equation}

Fuzzy Numbers.

\item Abbasbandy, S. and Asady, B.:(complete)
The Nearest Trapezoidal Fuzzy Number to a Fuzzy Quantity,
{\em Applied Mathematics and Computation} 156 (2004) 381-386.

\item Abbasbandy, S. and Amirfakhrian, M.:(complete)
The Nearest Trapezoidal Form of a Generalized Right Fuzzy Number,
{\em International Journal of Approximate Reasoning} 43 (2006) 166-178.

\item Abbasbandy, S. and Amirfakhrian, M.: (complete)
The Nearest Approximation of a Fuzzy Quantity in Paremetric Form,
{\em Applied Mathematics and Computation} 172 (2006) 624-632.

\item Abbasbandy, S. and Firozja, M.A.:
Fuzzy Linguistic Model for Interpolation,
{\em Chaos, Solitions and Fractals} 34 (2007) 551-556.

\item Aliev, R.A., Alizadeh, A.V. and Huseynov, O.H. : (E-article)
The Arithmetic of Discrete Z-numbers,
{\em Information Sciences} 290 (2015) 134-155.

\item Aliev, R.A., Huseynov, O.H. and Zeinalova, L.M.: (E-article)
The Arithmetic of Continuous Z-numbers
{\em Information Sciences} 373 (2016) 441-460.

\item Allahviranloo, T. and Firozja, M.A.:(complete)
Note on “Trapezoidal Approximation of Fuzzy Numbers”,
{\em Fuzzy Sets and Systems} 158 (2007) 755-756.

\item Ban, A.:
Approximation of Fuzzy Numbers by Trapezoidal Fuzzy Numbers Preserving the Expected Interval,
{\em Fuzzy Sets and Systems} 159 (2008) 1327-1344.

\item Ban, A.I.:
Triangular and Parametric Approximations of Fuzzy Numbers — Inadvertences and Corrections,
{\em Fuzzy Sets and Systems} 160 (2009) 3048-3058.

\item Ban, A.I.:
On the Nearest Parametric Approximation of a Fuzzy Number — Revisited,
{\em Fuzzy Sets and Systems} 160 (2009) 3027-3047.

\item Bodjanova, S.: (E-article)
Median Value and Median Interval of a Fuzzy Number,
{\em Information Sciences} 172 (2005) 73-89.

\item Bouchon-Meunier, B., Osheleva, O., Kreinovich, V. and Nguyen, H.T.:
Fuzzy Numbers are the Only Fuzzy Sets that Keep Invertiable Operations Invertiable,
{\em Fuzzy Sets and Systems} 91 (1997) 155-163.

\item Buckley, J.J :
Fuzzy Complex Numbers.
{\ Fuzzy Sets and Systems} 33 (1989) 333-345.

\item Buckley, J.J. :
On the Algebra of Interactive Fuzzy Numbers,
{\em Fuzzy Sets and Systems} 32 (1989) 291-306.

\item Buckley, J.J. :
On the Algebra of Interactive Fuzzy Numbers : The Continuous Case,
{\em Fuzzy Sets and Systems} 37 (1990) 317-326.

\item Campi\'{o}n, M.J., Candeal, J.C. and Indur\'{a}in, E.:
Representability of Binary Relations through Fuzzy Numbers,
{\em Fuzzy Sets and Systems} 157 (2006) 1-19.

\item Carlsson, C. and Full\'{e}r, R.:
On Possibilistic Mean Value and Variance of Fuzzy Numbers,
{\em Fuzzy Sets and Systems} 122 (2001) 315-326.

\item Chanas, S.:
On the Interval Approximation of a Fuzzy Number,
{\em Fuzzy Sets and Systems} 122 (2001) 353-356.

\item Chen, S.-H.:
Operations of Fuzzy Numbers with Step Form Membership Function Using
Function Principle,
{\em Information Sciences} 108 (1998) 149-155.

\item Colak, R., Altinok, H. and Et, M.:
Generalized Difference Sequences of Fuzzy Numbers,
{\em Chaos, Solitions and Fractals} 40 (2009) 1106-1117.

\item De Bates, B. and Markov\'{a}-Stup\v{n}ano\'{v}a, A.:
Analytical Expressions for the Addition of Fuzzy Intervals,
{\em Fuzzy Sets and Systems} 91 (1997) 203-213.

\item Delgado, M., Vila, M.A. and Voxman, W.:
On a Canonical Representation of Fuzzy Numbers,
{\em Fuzzy Sets and Systems} 93 (1998) 125-135.

\item Delgado, M., Vila, M.A. and Voxman, W.:
A Fuzziness Measure for Fuzzy Numbers: Applications,
{\em Fuzzy Sets and Systems} 94 (1998) 205-216.

\item Deschrijver, G.: (E-article)
Arithmetic Operators in Interval-Valued Fuzzy Set Theory,
{\em Information Sciences} 177 (2007) 2906-2924

\item Deschrijver, G.:
Generalized Arithmetic Operators and Their Relationship to
$t$-Norms in Interval-Valued Fuzzy Set Theory,
{\em Fuzzy Sets and Systems} 160 (2009) 3080-3102.

\item Dijkman, J.G., Haeringen, H.V. and Lange, S.J.De. :
Fuzzy Numbers.
{\em J. Math. Anal. and Appl.} 92 (1983) 301-341.

\item Dubois, D. and Prade, H. :
Operations on Fuzzy Numbers.
{\em International Journal of Systems Sciences} Vol. 9 \#6 (1978) 613-626.

\item Dubois, D. and Prade, H.:
Additions of Interactive Fuzzy Numbers,
{\em IEEE Trans. on Automatic Control} 26 (1981) 926-936.

\item Fang, J.-X. and Huang, H.:
On the Level Convergence of a Sequence of Fuzzy Numbers,
{\em Fuzzy Sets and Systems} 147 (2004) 417-435.

\item Full\'{e}r, R. and Majlender, P.:
On Weighted Possibilistic Mean and Variance of Fuzzy Numbers,
{\em Fuzzy Sets and Systems} 136 (2003) 363-374.

\item Full\'{e}r, R. and Majlender, P.:
On Interactive Fuzzy Numbers,
{\em Fuzzy Sets and Systems} 143 (2004) 355-369.

\item Gahler, S. and Gahler, W. :
Fuzzy Real Numbers.
{\em Fuzzy Sets and Systems} 66 (1994) 137-158.

\item Giachetti, R.E. and Young, R.E.:
A Parametric Representation of Fuzzy Numbers and Their Arithmetic Operators,
{\em Fuzzy Sets and Systems} 91 (1997) 185-202.

\item Goetschel, R. and Voxman, W.:
Topological Properties of Fuzzy Numbers,
{\em Fuzzy Sets and Systems} 10 (1983) 87-99.

\item Guerra, M.L. and Stefanini, L.: (E-article)
Approximate Fuzzy Arithmetic Operations Using Monotonic
Interpolations, {\em Fuzzy Sets and Systems} 150 (2005) 5-33.

\item Grzegorzewski, P.: (complete)
Metrics and Orders in Space of Fuzzy Numbers,
{\em Fuzzy Sets and Systems} 97 (1998) 83-94.

\item Grzegorzewski, P.:(complete)
Nearest Interval Approximation of a Fuzzy Number,
{\em Fuzzy Sets and Systems} 130 (2002) 321-330.

\item Grzegorzewski, P.: (complete)
Trapezoidal Approximations of Fuzzy Numbers Preserving the Expected
Interval — Algorithms and Properties,
{\em Fuzzy Sets and Systems} 159 (2008) 1354-1364.

\item Grzegorzewski, P. and Mr\'{o}wka, E.: (complete)
Trapezoidal Approximations of Fuzzy Numbers,
{\em Fuzzy Sets and Systems} 153 (2005) 115-135.

\item Grzegorzewski, P. and Mr\'{o}wka, E.: (complete)
Trapezoidal Approximations of Fuzzy Numbers — Revisited,
{\em Fuzzy Sets and Systems} 158 (2007) 757-768.

\item Heilpern, S. :
The Expected Value of a Fuzzy Number.
{\em Fuzzy Sets and Systems} 47 (1992) 81-86.

\item Heilpern, S.:
Representation and Application of Fuzzy Numbers,
{\em Fuzzy Sets and Systems} 91 (1997) 259-268.

\item Hol\v{c}apek, M. and \v{S}t\v{e}pni\v{c}ka, M.: (E-article)
MI-algebras: A New Frame Work for Arithmetics of (Extensional) Fuzzy Numbers,
{\em Fuzzy Sets and Systems} 257(2014) 102-131.

\item{hon} Hong, D.H. and Do, H.Y.: (E-article)
Additive Decomposition of Fuzzy Quantities, {\em Information Sciences} 88 (1996) 201-207.

\item Hong, D.H. and Hwang, C.:
A $T$-Sum Bound of $LR$-Fuzzy Numbers,
{\em Fuzzy Sets and Systems} 91 (1997) 239-252.

\item Hong, D.H. :
A Note on Operations on Fuzzy Numbers,
{\em Fuzzy Sets and Systems} 87 (1997) 383-384.

\item Hong, D.H.:
On Shape-Preserving Additions of Fuzzy Intervals,
{\em Journal of Mathematical Analysis and Applications} 267 (2002) 369-376.

\item Hong, D.H. and Lee, J.:
On the Law of Large Numbers for Mutually $T$-Related $L$-$R$ Fuzzy Numbers,
{\em Fuzzy Sets and Systems} 116 (2000) 263-267.

\item Hong, D.H. and Ro, P.I.:
The Law of Large Numbers for Fuzzy Numbers with Unbounded Supports,
{\em Fuzzy Sets and Systems} 116 (2000) 269-274.

\item Hung, W.-L. amd Wu, J.-W.:
A Note on the Correlation of Fuzzy Numbers by Expected Intervals,
{\em International Journal of Uncertainty, Fuziness and Knowledge-Based
Systems} 9 (2001) 517-523.

\item Hung, W.-L. amd Wu, J.-W.:
Correlation of Fuzzy Nunbers by $\alpha$-Cut Method,
{\em International Journal of Uncertainty, Fuziness and Knowledge-Based
Systems} 10 (2002) 725-735.

\item Hwang, S.Y. and Hong, D.H.:
The Convergence of $T$-Sum of Fuzzy Numbers on Banach Spaces,
{\em Applied Mathematics Letters} 10 No.4 (1997) 129-134.

\item Irion, A.:
Fuzzy Rules and Fuzzy Functions: A Combination of Logic and Arithmetic
Operations for Fuzzy Numbers,
{\em Fuzzy Sets and Systems} 99 (1998) 49-56.

\item Jang, L.-C. and Kwon, J.-S.:
A Note on Law of Large Numbers for Fuzzy Numbers in a Banach Space,
{\em Fuzzy Sets and Systems} 98 (1998) 77-81.

\item Klir, G.J.:
Fuzzy Arithmetic with Requisite Constraints,
{\em Fuzzy Sets and Systems} 91 (1997) 165-175.

\item Kosheleva, O., Cabrera, S.D., Gibson, G.A. and Koshelev, M.:
Fast Implementations of Fuzzy Arithmetic Operations Using Fast Fourier
Transform,
{\em Fuzzy Sets and Systems} 91 (1997) 269-277.

\item Li, F., Wu, C., Qiu, J. and Su, L.:
Platform Type Fuzzy Number and Separability of Fuzzy Number Space,
{\em Fuzzy Sets and Systems} 117 (2001) 347-353.

\item Mare\v{s}, M.:
Weak Arithmetics of Fuzzy Numbers,
{\em Fuzzy Sets and Systems} 91 (1997) 143-153.

\item Markov\'{a}, A. :
T-sum of L-R Fuzzy Numbers,
{\em Fuzzy Sets and Systems} 85 (1997) 379-384.

\item Mesiar, R.:
A Note to the $T$-Sume of L-R Fuzzy Numbers
{\em Fuzzy Sets and Systems} 79 (1996) 259-261.

\item Mesiar, R.:
Shape Preserving Additions of Fuzzy Intervals,
{\em Fuzzy Sets and Systems} 86 (1997) 73-78.

\item Mesiar, R.:
Triangular-Norm-Based Addition of Fuzzy Intervals,
{\em Fuzzy Sets and Systems} 91 (1997) 231-237.

\item Mitchell, H.B.:
Ranking-Intuitionistic Fuzzy Numbers,
{\em International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems} 12 (2004) 377-386.

\item Miyakawa, M., Nakamura, K., Ram\'{i}k, J. \& Rosenberg, I.G. :
Joint Canonical Fuzzy Numbers,
{\em Fuzzy Sets and Systems} 53 (1993) 39-47.

\item Mizumoto, M. and Tanaka, K. :
The Four Operations of Arithmetic of Fuzzy Numbers.
{\em Systems, Computers, Controls} 7 (1976) 73-81.

\item Mon, D.-L. and Cheng, C.-H. :
A General and Easy Computational Method for Functions of Fuzzy Numbers,
{\em Int. J. System Sciences} 26 (1995) 983-990.

\item Nanda, S. :
On Sequences of Fuzzy Numbers,
{\em Fuzzy Sets and Systems} 33 (1989) 123-126.

\item Nasibov, E. and Peker, S.:
On the Nearest Parametric Approximation of a Fuzzy Number,
{\em Fuzzy Sets and Systems} 159 (2008) 1365-1375.

\item Piegat, A.:
Cardinality Approach to Fuzzy Number Arithmetic,
{\em IEEE Trans. on Fuzzy Systems} 13 (2005) 204-215.

\item Ram\'{i}k, J. \& Nakamura, K. :
Canonical Fuzzy Numbers of Two Dimension,
{\em Fuzzy Sets and Systems} 54 (1993) 167-180.

\item Savas, E.:
A Note on Sequence of Fuzzy Numbers,
{\em Information Sciences} 124 (2000) 297-300.

\item Stojakovi\'{c}, M. and Stojakovi\'{c}, Z.:
Addition and Series of Fuzzy Sets,
{\em Fuzzy Sets and Systems} 83 (1996) 341-346.

\item Stojakovi\'{c}, M. and Stojakovi\'{c}, Z.:
Series of Fuzzy Sets,
{\em Fuzzy Sets and Systems} 160 (2009) 3115-3127.

\item{stu} Stup\v{n}anov\'{a}, A.: (E-article)
A Probabilistic Approach to the Arithmetics of Fuzzy Numbers,
{\em Fuzzy Sets and Systems} 264 (2015) 64-75.

\item Voxman, W.:
Some Remarks on Distances between Fuzzy Numbers,
{\em Fuzzy Sets and Systems} 100 (1998) 353-365.

\item Voxman, W.:
Canonical Representations of Discrete Fuzzy Numbers,
{\em Fuzzy Sets and Systems} 118 (2001) 457-466.

\item Vrba, J.: (E-article)
A Note on Inverses in Arithmetic with Fuzzy Numbers {\em Fuzzy
Sets and Systems} 50 (1992) 267-278.

\item Wang, G., Shi, P., Xie, Y. and Shi, Y.: (E-article)
Two-Dimensional Discrete Fuzzy Numbers and Applications,
{\em Information Sciences} 32 6(2016) 258-269.

\item Yang, H.Q., Yao, H. \& Jones, J.D. :
Calculating Functions of Fuzzy Numbers,
{\em Fuzzy Sets and Systems} 55 (1993) 273-283.

\item Yeh, C.-T.:
A Note on Trapezoidal Approximation of Fuzzy Numbers,
{\em Fuzzy Sets and Systems} 158 (2007) 747-754.

\item Yeh, C.-T.:
Trapezoidal and Triangular Approximations Preserving the Expected Interval,
{\em Fuzzy Sets and Systems} 159 (2008) 1345-1353.

\item Yeh, C.-T.:
Weighted Trapezoidal and Triangular Approximations of Fuzzy Numbers,
{\em Fuzzy Sets and Systems} 160 (2009) 3059-3079.

\item Yu, C. :
Correlation of Fuzzy Numbers.
{\em Fuzzy Sets and Systems} 55 (1993) 303-307.

\item Zhang, G.-Q. :
Fuzzy Limit Theory of Fuzzy Complex Numbers.
{\em Fuzzy Sets and Systems} 46 (1992) 227-235.

\item Zhang, K.-I. and Hirota, K.:
On Fuzzy Number Lattice $(\tilde{\bf R},\leq )$,
{\em Fuzzy Sets and Systems} 92 (1997) 113-122.

\begin{equation}{\label{g}}\tag{G}\mbox{}\end{equation}

Ranking Fuzzy Numbers.

\item Baldwin, J.F. and Guild, N.C.F.:
Comparison of Fuzzy sets on the Same Decision Space,
{\em Fuzzy Sets and Systems} 2 (1979) 213-231.

\item Bhakat, S.K. and Das, P. :
A Note of Fuzzy Archimedean Ordering,
{\em Fuzzy Sets and Systems} 91 (1997) 91-94.

\item Bortolan, G. and Degani, R.:
A Review of Some Methods for Ranking Fuzzy Subsets,
{\em Fuzzy Sets and Systems} 15 (1985) 1-19.

\item Buckley, J.J.:
Ranking Alternatives Using Fuzzy Numbers,
{\em Fuzzy Sets and Systems} 15 (1985) 21-31.

\item Buckley, J.J.:
A Fuzzy Ranking of Fuzzy Numbers,
{\em Fuzzy Sets and Systems} 33 (1989) 119-121.

\item Buckley, J.J. \& Chanas, S. :
A Fast Method of Ranking Alternatives Using Fuzzy Numbers,
{\em Fuzzy Sets and Systems} 30 (1989) 337-338.

\item Buckley, J.J. and Eslami, E.:
Fuzzy Ordering of Fuzzy Numbers,
{\em International Journal of Uncertainty, Fuzziness and Knowledge-Based
Systems} 12 (2004) 105-114.

\item Chanas, S. and Zieli\'{n}ski, P.: (complete)
Ranking Fuzzy Interval Numbers in the Setting of Random Sets — Further
Results,
{\em Information Sciences} 117 (1999) 191-200.

\item Chen, S.-H.:
Ranking Fuzzy Numbers with Maximizing Set and Minimizing Set,
{\em Fuzzy Sets and Systems} 17 (1985) 113-129.

\item Cheng, C.-H.:
A New Approach for Ranking Fuzzy Numbers by Distance Method,
{\em Fuzzy Sets and Systems} 95 (1998) 307–317.

\item Chu, T.-C. and Tsao, C.-T.:
Ranking Fuzzy Numbers with an Area between the Centroid Point and
Original Point,
{\em Computers and Mathematics with Applications} 43 (2002) 111-117.

\item de Campos Ib\'{a}\mbox{$\tilde{n}$}ez, L.M. \&
Gonz\'{a}lez Mu\mbox{$\tilde{n}$}oz, A. :
A Subjective Approach for Ranking Fuzzy Numbers,
{\em Fuzzy Sets and Systems} 29 (1989) 145-153.

\item Delgado, M., Verdegay, J.L. \& Vila, M.A. :
A Procedure for Ranking Fuzzy Numbers Using Fuzzy Relations,
{\em Fuzzy Sets and Systems} 26 (1988) 49-62.

\item Dubois, D. and Prade, H. :
Ranking Fuzzy Numbers in the Setting of Possibility Theory.
{\em Information Sciences} 30 (1983) 183-224.

\item Dubois, D. and Prade, H.:
The Mean Value of a Fuzzy Number,
{\em Fuzzy Sets and Systems} 24 (1987) 279-300.

\item Facchinetti, G. and Ricci, R.G.:
A Characterization of a General Class of Ranking Functions on Triangular
Fuzzy Numbers,
{\em Fuzzy Sets and Systems} 146 (2004) 297-312.

\item Fortemps, P. and Roubens, M.:
Ranking and Defuzzification Methods Based on Area Compensation,
{\em Fuzzy Sets and Systems} 82 (1996) 319-330.

\item Gonzalez, A.:
A Study of the Ranking Function Approach through Mean Values,
{\em Fuzzy Sets and Systems} 35 (1990) 29-41.

\item Haven, E.:
Fuzzy Interval and Semi-Order,
{\em European Journal of Operational Research} 139 (2002) 302-316.

\item Horiuchi, K. and Tamura, N.:
VSOP Fuzzy Numbers and Their Ordering,
{\em Fuzzy Sets and Systems} 93 (1998) 197-210.

\item Iskander, M.G.:
Comparison of Fuzzy Numbers Using Possibility Programming: Comments and
New Concepts,
{\em Computers and Mathematics with Applications} 43 (2002) 833-840.

\item Kim, K. and Park, K.S.:
Ranking Fuzzy Numbers with Index of Optimism,
{\em Fuzzy Sets and Systems} 35 (1990) 143-150.

\item Lee, E.S. and Li, R.-J.:
Comparison of Fuzzy Numbers Based on the Probability Measure of Fuzzy
Events,
{\em Computers and Mathematics with Applicatioins} 15 (1988) 887-896.

\item Lee, K.-M., Cho, C.-H. and Lee-Kwang, H.:
Ranking Fuzzy Values with Satisfaction Function,
{\em Fuzzy Sets and Systems} 64 (1994) 295-309.

\item Liou, T.-S. \& Wang, M.-J. :
Ranking Fuzzy Numbers with Integral Value,
{\em Fuzzy Sets and Systems} 50 (1992) 247-255.

\item Ma, L-.C. and Li, H.-L.:
A Fuzzy Ranking Method with Range Reduction Techniques,
{\em European Journal of Operational Research} 184 (2008) 1032-1043.

\item Matarazzo, B. and Munda, G.:
New Approaches for the Comparison of $L$-$R$ Fuzzy Numbers: A Theoretical
and Operational Analysis,
{\em Fuzzy Sets and Systems} 118 (2001) 407-418.

\item Modarres, M. and Sadi-Nezhad, S.:
Ranking Fuzzy Numbers by Preference Ratio,
{\em Fuzzy Sets and Systems} 118 (2001) 429-436.

\item Ovchinnikov, S.:
On Ranking Fuzzy Sets,
{\em Fuzzy Sets and Systems} 24 (1987) 113-116.

\item Pappis, C.P. and Karacapilidis, N.I.:
A Comparative Assessment of Measures of Similarity of Fuzzy Values,
{\em Fuzzy Sets and Systems} 56 (1993) 171-174.

\item Peneva, V. and Popchev, I.:
Comparison of Clusters from Fuzzy Numbers,
{\em Fuzzy Sets and Systems} 97 (1998) 75-81.

\item Ricci, R.G.:
An Axiomatic Approach to a Class of Ranking Functions for Triangular Fuzzy
Numbers,
{\em International Journal of Uncertainty, Fuzziness and Knowledge-Based
Systems} 7 (1999) 155-172.

\item Saade, J.J. and Schwarzlander, H. :
Ordering Fuzzy Sets over the Real Line : An Approach Based on Decision Making
under Uncertainty,
{\em Fuzzy Sets and Systems} 50 (1992) 237-246.

\item Tran, L. and Duckstein, L.:
Comparison of Fuzzy Numbers Using a Fuzzy Distance Measure,
{\em Fuzzy Sets and Systems} 130 (2002) 331-341.

\item Tseng, T.Y. and Klein, C.M.:
New Algorithm for the Ranking Procedure in Fuzzy Decision-Making,
{\em IEEE Trans. on Systems, Man, and Cybernetics} 19, \#5 (1989) 1289-1296.

\item Wang, X. and Kerre, E.E.:
Reasonable Properties for the Ordering of Fuzzy Quantities (I), (II),
{\em Fuzzy Sets and Systems} 118 (2001) 375-385; 387-405.

\item Yager, R.R. :
On Choosing between Fuzzy Subsets,
{\em Kybernetes} 9 (1980) 151-154.

\item Yager, R.R.:
A Procedure for Ordering Fuzzy Subsets of the Unit Interval,
{\em Information Sciences} 24 (1981) 143-161.

\item Yager, R.R., Detyniecki, M. and Bouchon-Meunier, B.:
A Context-Dependent Method for Ordering Fuzzy Numbers Using Probabilities,
{\em Information Sciences} 138 (2001) 237-255.

\item Yao, J.-S. and Wu, K.M.:
Ranking Fuzzy Numbers Based on Decomposition Principle and Signed Distance,
{\em Fuzzy Sets and Systems} 116 (2000) 275-288.

\item Yoon, K.P.:
A Probabilistic Approach to Rank Complex Fuzzy Numbers,
{\em Fuzzy Sets and Systems} 80 (1996) 167-176.

\item Yoshida, Y. and Kerre, E.E.:
A Fuzzy Ordering on Multi-Dimensional Fuzzy Sets Induced from Convex Cones,
{\em Fuzzy Sets and Systems} 130 (2002) 343-355.

\item Yuan, Y.:
Criteria for Evaluating Fuzzy Ranking Methods,
{\em Fuzzy Sets and Systems} 44 (1991) 139-157.

\begin{equation}{\label{h}}\tag{H}\mbox{}\end{equation}

Defuzzification.

\item de Oliveira, J.V.:
A Set-Theoretical Defuzzification Method,
{\em Fuzzy Sets and Systems} 76 (1995) 63-71.

\item Filev, D.P. and Yager, R.R.:
An Adaptive Approach to Defuzzification Based on Level Sets,
{\em Fuzzy Sets and Systems} 54 (1993) 355-360.

\item Fortemps, P. and Roubens, M.:
Ranking and Defuzzification Methods Based on Area Compensation,
{\em Fuzzy Sets and Systems} 82 (1996) 319-330.

\item Grzegorzewski, P.:
Fuzzy Sets — Defuzzification and Randomization,
{\em Fuzzy Sets and Systems} 118 (2001) 437-446.

\item Ma, M., Kandel, A. and Friedman, M.:
A New Approach for Defuzzification,
{\em Fuzzy Sets and Systems} 111 (2000) 351-356;
Correction, {\em Fuzzy Sets and Systems} 128 (2002) 133-134.

\item Mabuchi, S.:
A Proposal for a Defuzzification Strategy by the Concept of Sensitivity
Analysis,
{\em Fuzzy Sets and Systems} 53 (1993) 1-14.

\item Ogura, Y., Li, S. and Ralescu, D.A.:
Set Defuzzification and Choquet Integral,
{\em International Journal of Uncertaint, Fuzziness and Knowledge-Based
Systems} 9 (2001) 1-12.

\item Oussalah, M.:
On the Compatibility between Defuzzification and Fuzzy Arithmetic Operations,
{\em Fuzzy Sets and Systems} 128 (2002) 247-260.

\item Patel, A.V. and Mohan, B.M.:
Some Numerical Aspects of Center of Area Defuzzification Method,
{\em Fuzzy Sets and Systems} 132 (2002) 401-409.

\item Rom\'{a}n-Flores, H. and Chalco-Cano, Y.:
H-Continuity of Fuzzy Measures and Set Defuzzification,
{\em Fuzzy Sets and Systems} 157 (2006) 230-242.

\item Rondeau, L., Ruelas, R., Levrat, L. and Lamotte, M.:
A Defuzzification Method Respecting the Fuzzification,
{\em Fuzzy Sets and Systems} 86 (1997) 311-320.

\item Song, Q. and Bortolan, G.:
Some Properties of Defuzzification Neural Networks,
{\em Fuzzy Sets and Systems} 61 (1994) 83-89.

\item Yager, R.R. and Filev, D.P.:
On the Issue of Defuzzification and Selection Based on a Fuzzy Set,
{\em Fuzzy Sets and Systems} 55 (1993) 255-271.

\item Yager, R.R. and Filev, D.P.:
SLIDE: A Simple Adaptive Defuzzification Method,
{\em IEEE Trans. on Fuzzy Systems} 1 (1993) 69-78.

\begin{equation}{\label{i}}\tag{I}\mbox{}\end{equation}

Extension Principle.

\item B\v{e}lohl\'{a}vek, R.:
A Note on the Extension Principle,
{\em Journal of Mathematical Analysis and Applications} 248 (2000) 678-682.

\item Biacino, L. and Gerla, G.:
An Extension Principle for Closure Operators,
{\em Journal of Mathematical Analysis and Applications} 198 (1996) 1-24.

\item Coroianua, L. and Fuller, R.: (E-Article)(Extension Principle)
Nguyen Type Theorem For Extension Principle Based on a Joint Possibility Distribution
{\em International Journal of Approximate Reasoning} 95 (2018) 22-35

\item Coroianua, L. and Fuller, R.: (E-Article)(Extension Principle)
Necessary and sufficient conditions for the equality of interactive and non-interactive extensions of continuous functions,
{\em Fuzzy Sets and Systems} 331(2018) 116-130.

\item Diamond, P. and Pokrovskii, A.:
Chaos, Entropy and a Generalized Extension Principle,
{\em Fuzzy Sets and Systems} 61 (1994) 277-283.

\item Gerla, G. and Scarpati, L.:
Extension Principles for Fuzzy Sets,
{\em Information Sciences} 106 (1998) 49-69.

\item Liu, S.-T. and Kao, C.:
Solving Fuzzy Transportation Problems Based on Extension Principle,
{\em European Journal of Operational Research} 153 (2004) 661-674.

\item Nguyen, H.T. :
A Note on the Extension Principle for Fuzzy Sets,
{\em Journal of Mathematical Analysis and Applications} 64 (1978) 369-380.

\item Rom\'{a}n-Flores, H. and Chalco-Cano, Y.:
Some Chaotic Properties of Zadeh’s Extensions,
{\em Chaos, Solitions and Fractals} 35 (2008) 452-459.

\item Sereshta, N.G. and Fayek, A.R.: (E-Article)(Extension Principle)
Computational Method for Fuzzy Arithmetic Operations on Triangular Fuzzy Numbers by Extension Principle,
{\em International Journal of Approximate Reasoning} 106 (2019) 172-193

\item Williamson, R.C.:
The Law of Large Numbers for Fuzzy Variables under a General Triangular Norm Extension Principle,
{\em Fuzzy Sets and Systems} 41 (1991) 55-81.

\item Yager, R.R.:
A Characterization of the Extension Principle,
{\em Fuzzy Sets and Systems} 18 (1986) 205-217.

\begin{equation}{\label{j}}\tag{J}\mbox{}\end{equation}

Fuzzy Real Analysis.

\item Agahi, H., Mesiar, R. and Ouyang, Y.:
New General Extension of Chebyshev Type Inequalities for Sugeno Integrals,
{\em International Journal of Approximate Reasoning} 51 (2009) 135-140.

\item Agahi, H., Mesiar, R. and Ouyang, Y.:
Chebyshev Type Inequalities for Pseudo-Integrals,
{\em Nonlinear Analysis} 72 (2010) 2737-2743.

\item Allahviranloo, T.:
Newton Cot’s Methods for Integration of Fuzzy Functions,
{\em Applied Mathematics and Computation} 166 (2005) 339-348.

\item Artico, G. \& Moresco, R. :
On Fuzzy Metrizability,
{\em J. Math. Anal. Appl.} 107 (1985) 144-147.

\item Avallone, A. \& Barbieri, G. :
Range of Finitely Additive Fuzzy Measures,
{\em Fuzzy Sets and Systems} 89 (1997) 231-241.

\item Balasubramanian, G. and Sundaram, P.:
On Some Generalization of Fuzzy Continuous Functions,
{\em Fuzzy Sets and Systems} 86 (1997) 93-100.

\item Batle, N. and Trillas, E. :
Entropy and Fuzzy Integral.
{\em J. Math. Anal. and Appl.} 69 (1979) 469-474.

\item Bede, B. and Gal, S.G.:
Quadrature Rules for Integrals of Fuzzy-Number-Valued Functions,
{\em Fuzzy Sets and Systems} 145 (2004) 359-380.

\item Beg, I.:
Fuzzy Closed Graph Fuzzy Multifunctions,
{\em Fuzzy Sets and Systems} 115 (2000) 451-454.

\item Berres, M. :
$\lambda$-Additive Measures on Measure Spaces,
{\em Fuzzy Sets and Systems} 27 (1988) 159-169.

\item Bertoluzza, C. \& Cariolaro, D. :
On the Measure of a Fuzzy Set Based on Continuous t-conorms,
{\em Fuzzy Sets and Systems} 88 (1997) 355-362.

\item Buckley, J.J. and Qu, Yunxia :
Fuzzy Complex Analysis I : Differentiation.
{\ Fuzzy Sets and Systems} 41 (1991) 269-284.

\item Buckley, J.J. :
Fuzzy Complex Analysis II : Integration.
{\ Fuzzy Sets and Systems} 49 (1992) 171-179.

\item Burgin, M.:
Theory fo Fuzzy Limits,
{\em Fuzzy Sets and Systems} 115 (2000) 433-443.

\item Burgin, M.:
Uncertainty and Imprecision in Analytical Context: Fuzzy Limits and
Fuzzy Derivatives,
{\em International Journal of Uncertaint, Fuzziness and Knowledge-Based
Systems} 9 (2001) 563-585.

\item Butnariu, D. :
Additive Fuzzy Measures and Integrals I.
{\em J. Math. Anal. and Appl.} 93 (1983) 436-452.

\item Butnariu, D. :
Fuzzy Measurability and Interability.
{\em Journal of Mathematical Analysis and Applications} 117 (1986)
385-410.

\item Butnariu, D.:
Additive Fuzzy Measures and Integrals III,
{\em J. Math. Anal. Appl.} 125 (1987) 288-303.

\item Butnariu, D. :
Measurability Concepts for Fuzzy Mapping.
{\em Fuzzy Sets and Systems} 31 (1989) 77-82.

\item Chen, D. and Zhang, L.:
Singed Fuzzy-Valued Measures and Radon-Nikodym Theorem of Fuzzy-Valued
Measurable Functions,
{\em Southeast Asian Bulletin of Mathematics 26 (2002) 375-385.

\item de Baets, de Cooman, G. and Kerre, E.:
The Construction of Possibility Measures from Samples on
${\cal F}$-Semi-Partitions,
{\em Information Sciences} 106 (1998) 3-24.

\item de Campos, L.M., Lamata, M.T. and Moral, S. :
The Concept of Conditional Fuzzy Measure.
{\em International Journal of Intelligent Systems} 5 (1990) 237-246.

\item de Cooman, G., Kerre, E.E. and Vanmassenhove, F.R. :
Possibility Theorey : An Integral Theoretic Approach.
{\em Fuzzy Sets and Systems} 46 (1992) 287-299.

\item de Cooman, G. and Kerre, E.E. :
Possibility and Necessity Integrals,
{\em Fuzzy Sets and Systems} 77 (1996) 207-227.

\item D\'{i}az, E.S. and Garc\'{i}a, F.S.:
The Fuzzy Integral on Product Spaces for NSA Measures,
{\em Fuzzy Sets and Systems} 103 (1999) 465-472.

\item Dubois, D. and Prade, H. :
Fuzzy Real Algebra : Some Results.
{\em Fuzzy Sets and Systems} 2 (1979) 327-348.

\item Dubois, D. \& Prade, H. :
A Class of Fuzzy Measures Based on Triangular Norms,
{\em Int. J. General Systems} 8 (1982) 43-61.

\item El-Abyad, A.M. \& El-Hamouly, H.M. :
Fuzzy Inner Product Spaces,
{\em Fuzzy Sets and Systems} 44 (1991) 309-326.

\item Erceg, M.A. :
Metric Spaces in Fuzzy Set Theory,
{\em J. Math. Anal. Appl.} 69 (1979) 205-230.

\item Feng, Y.:
A Note on Indefinite Integrals and Absolute Continuity for Fuzzy-Valued
Mappings,
{\em Fuzzy Sets and Systems} 147 (2004) 405-415.

\item Gantner, T.E. \& Steinlage, R.C. :
Compactness in Fuzzy Topological Spaces,
{\em J. Math. Anal. Appl.} 62 (1978) 547-562.

\item Gavrilut, A. and Croitoru, A.:
Non-Atomicity for Fuzzy and Non-Fuzzy Mutivalued Set Functions,
{\em Fuzzy Sets and Systems} 160 (2009) 2106-2116.

\item Ghil, B.M. :
On the Convergence of Fuzzy-Number-Valued Functions,
{\em Fuzzy Sets and Systems} 87 (1997) 373-375.

\item Gong, Z. and Shao, Y.:
The Controlled Convergence Theorems for the Strong Henstock Integrals of Fuzzy-Number-Valued Functions,
{\em Fuzzy Sets and Systems} 160 (2009) 1528-1546.

\item Gong, Z., Wu, C. and Li, B.:
On the Problem of Characterizing Drivatives for the Fuzzy-Valued Functions,
{\em Fuzzy Sets and Systems} 127 (2002) 315-322.

\item Grabisch, M.:
$k$-Order Additive Discrete Fuzzy Measures and Their Representation,
{\em Fuzzy Sets and Systems} 92 (1997) 167-189.

\item Grabisch, M., Murofushi, T. and Sugeno, M. :
Fuzzy Measure of Fuzzy Events Defined by Fuzzy Integrals.
{\em Fuzzy Sets and Systems} 50 (1992) 293-313.

\item Greco, G.H. and Bassanezi, R.C. :
On the Continuity of Fuzzy Integrals.
{\em Fuzzy Sets and Systems} 53 (1993) 87-91.

\item Guo, C., Zhang, D. and Wu, C.:
Generalized Fuzzy Integrals of Fuzzy-Valued Functions,
{\em Fuzzy Sets and Systems} 97 (1998) 123-128.

\item Guo, C., Zhang, D. and Wu, C.:
Fuzzy-Valued Fuzzy Measures and Generalized Fuzzy Integrals,
{\em Fuzzy Sets and Systems} 97 (1998) 255-260.

\item Hohle, U. :
A General Theory of Fuzzy Plausibility Measures.
{\em J. Math. Anal. and Appl.} 127 (1987) 346-364.

\item Hutton, B. :
Normality in Fuzzy Topological Spaces,
{\em J. Math. Anal. Appl.} 50 (1975) 74-79.

\item Hutton, B. :
Uniformities on Fuzzy Topological Spaces,
{\em J. Math. Anal. Appl.} 58 (1977) 559-571.

\item Ichihashi, H., Tanaka, H. and Asai, K. :
Fuzzy Integrals Based on Pseudo-additions and Multiplications.
{\em J. Math. Anal. and Appl.} 130 (1988) 354-364.

\item Jang, L.-C. and Kwon, J.-S.:
Convergence of Sequences of Set-Valued and Fuzzy-Set-Valued Functions,
{\em Fuzzy Sets and Systems} 93 (1998) 241-246.

\item Jiang, Q., Wang, S., Ziou, D., Wang, Z. and Klir, G.J.:
Pseudometric Generating Property and Autocontinuity of Fuzzy Measures,
{\em Fuzzy Sets and Systems} 112 (2000) 207-216.

\item Joo, S.Y. and Kim, Y.K.:
Topological Properties on the Space of Fuzzy Sets,
{\em Journal of Mathematical Analysis and Applications} 246 (2000) 576-590.

\item Kaleva, O. :
The Calculus of Fuzzy Valued Functions,
{\em Applied Mathematics Letter} 3 (1990) 55-59.

\item Khalili, S. :
Fuzzy Measures and Mappings.
{\em Journal of Mathematical Analysis and Applications} 68 (1979)
92-99.

\item Kim, C.-V. and de Baets, B.:
A Decomposition of $k$-Additive Choquet and $k$-Maxitive Sugeno Integrals,
{\em International Journal of Uncertainty, Fuziness and Knowledge-Based
Systems} 9 (2001) 127-143.

\item Kim, M.H.:
$\wedge$-Homogeneity Properties of Seminormed Fuzzy Integrals,
{\em Fuzzy Sets and Systems} 157 (2006) 411-426.

\item Kim, Y.K.:
Compactness and Convexity on the Spaces of Fuzzy Sets,
{\em Journal of Mathematical Analysis and Applications} 264 (2001) 122-132.

\item Kim, Y.K.:
Measurability for Fuzzy-Valued Functions,
{\em Fuzzy Sets and Systems} 129 (2002) 105-109.

\item Kim, Y.K. \& Ghil, B.Y. :
Integrals of Fuzzy-Number-Valued Functions,
{\em Fuzzy Sets and Systems} 86 (1997) 213-222.

\item Klement, E.P. :
Characterization of Finite Fuzzy Measures Using Markoff-Kernels.
{\em Journal of Mathematical Analysis and Applications} 75 (1980)
330-339.

\item Klement, E.P. :
Fuzzy $\sigma$-algebras and Fuzzy Measurable Functions.
{\em Fuzzy Sets and Systems} 4 (1980) 83-93.

\item Klement, E.P. and Schwyhla, W. :
Correspondence between Fuzzy Measures and Classical Measures.
{\em Fuzzy Sets and Systems} 7 (1982) 57-70.

\item Klement, E.P. :
Fuzzy Measures Assuming Their Values in the Set of Fuzzy Numbers.
{\em Journal of Mathematical Analysis and Applications} 93 (1983)
312-323.

\item Klement, E.P. :
Integration of Fuzzy-Valued Functions.
{\em Rev. Roumaine Math. Pures Applications} 30 (1985) 375-384.

\item Klement, E.P. :
A Radon-Nikodym Theorem for Fuzzy-Valued Measures,
{\em Fuzzy Sets and Systems} 27 (1988) 45-51.

\item Klement, E.P. \& Weber, S. :
Generalized Measures,
{\em Fuzzy Sets and Systems} 40 (1991) 375-394.

\item Knopfmacher, J. :
On Measures of Fuzziness.
{\em Journal of Mathematical Analysis and Applications} 49 (1975)
529-534.

\item Kramosil, I.:
Belief Functions Generated by Signed Measures,
{\em Fuzzy Sets and Systems} 92 (1997) 157-166.

\item Kruse, R. :
On the Construction of Fuzzy Measures.
{\em Fuzzy Sets and Systems} 8 (1982) 323-327.

\item Lamata, M.T. and Moral, S. :
Classification of Fuzzy Measures.
{\em Fuzzy Sets and Systems} 33 (1989) 243-253.

\itme Li, J. and Yasuda, M.:
On Egoroff’s Theorems on Finite Monotone Non-Additive Measure Space,
{\em Fuzzy Sets and Systems} 153 (2005) 71-78.

\item Li, J., Yasuda, M., Jiang, Q., Suzuki, H., Wang, Z. \& Klir, G.J. :
Convergence of Sequence of Measurable Functions on Fuzzy Measure Spaces,
{\em Fuzzy Sets and Systems} 87 (1997) 317-323.

\item Li, L. and Sheng, Z.:
The Structural Properties and Weak Convergence of Fuzzy Orthogonal Measures,
{\em Fuzzy Sets and Systems} 112 (2000) 271-276.

\item Liu, Y.-K.:
On the Convergence of Measurable Set-Valued Function Sequence on Fuzzy
Measure Space,
{\em Fuzzy Sets and Systems} 112 (2000) 241-249.

\item Liu, Y.-M. :
Some Properties of Convex Fuzzy Sets,
{\em J. Math. Anal. Appl.} 111 (1985) 370-385.

\item Lowen, R. :
Fuzzy Topological Spaces and Fuzzy Compactness,
{\em J. Math. Anal. Appl.} 56 (1976) 621-633.

\item Lowen, R. :
Fuzzy Uniform Spaces,
{\em J. Math. Anal. Appl.} 82 (1981) 370-385.

\item Lowen, R. :
On Fuzzy Complements,
{\em Information Sciences} 14 (1978) 107-113.

\item Lumer, G. :
Semi-Inner Product Spaces,
{\em Trans. Amer. Math. Soc.} 100 (1961) 29-43.

\item Ma, M. and Hu, H.-P. :
The (N) Fuzzy Integrals of Abstract Functions.
{\em Fuzzy Sets and Systems} 55 (1993) 323-332.

\item Markechova, D. :
The Conjugation of Fuzzy Probability Spaces to the Unit Interval.
{\em Fuzzy Sets and Systems} 47 (1992) 87-92.

\item Mashhour, A.S. \& Morsi, N.N. :
Fuzzy Metric Neighbourhood Spaces,
{\em J. Math. Anal. Appl.} 45 (1992) 367-388.

\item Mesiar, R. :
Characterization of Possibility Measures of Fuzzy Events Using Markov
Kernels.
{\ Fuzzy Sets and Systems} 46 (1992) 301-303.

\item Mesiar, R. :
Fuzzy Measurable Functions.
{\em Fuzzy Sets and Systems} 59 (1993) 35-41.

\item Mesiar, R.:
Fuzzy Measures and Integrals,
{\em Fuzzy Sets and Systems} 156 (2005) 365-370.

\item Mesiar, R. and Pap, E.:
Idempotent Integrals as Limit of $g$-Integrals,
{\em Fuzzy Sets and Systems} 102 (1999) 385-392.

\item Mesiar, R. and Ouyang, Y.:
General Chebyshev Type Inequalities for Sugeno Integrals,
{\em Fuzzy Sets and Systems} 160 (2009) 58-64.

\item Miranda, P. and Grabisch, M.:
Optimization Issues for Fuzzy Measures,
{\em International Journal of Uncertaint, Fuzziness and Knowledge-Based
Systems} 7 (1999) 545-560.

\item Miranda, P., Combarro, E.F. and Gil, P.:
Extreme Points of Some Families of Non-Additive Measures,
{\em European Journal of Operational Research} 174 (2006) 1865-1884.

\item Miranda, P., Grabisch, M. and Gil, P.:
$p$-Symmetric Fuzzy Measure,
{\em International Journal of Uncertaint, Fuzziness and Knowledge-Based
Systems} 10 (2002) 105-123.

\item Morsi, N.N.:
Fuzzy T-Locality Spaces,
{\em Fuzzy Sets and Systems} 69 (1995) 193-219.

\item Murofushi, T. and Sugeno, M. :
An Interpretation of Fuzzy Measures and the Choquet Integral as an Integral with Respect to a Fuzzy Measure.
{\em Fuzzy Sets and Systems} 29 (1989) 201-227.

\item Murofushi, T. and Sugeno, M. :
A Theory of Fuzzy Measures : Representations, the Choquet Integral, and Null Sets.
{\em Journal of Mathematical Analysis and Applications} 159 (1991)
532-549.

\item Murofushi, T., Sugeno, M. and Suzaki, M.:
Autocontinuity, Convergence in Measure, and Convergence in Distribution,
{\em Fuzzy Sets and Systems} 92 (1997) 197-203.

\item Murofushi, T. \& Sugeno, M. :
Fuzzy t-Conorm Integral with Respect to Fuzzy Measures : Gereralization
of Sugeno Integral and Choquet Integral,
{\em Fuzzy Sets and Systems} 42 (1991) 57-71.

\item Narukawa, Y., Murofushi, T. and Sugeno, M.:
Regular Fuzzy Measure and Representation of Comonotonically Additive
Functional,
{\em Fuzzy Sets and Systems} 112 (2000) 177-186.

\item Nieminen, J. :
Fuzzy Mappings and Algebraic Structures.
{\em Fuzzy Sets and Systems} 1 (1978) 231-235.

\item Ouyang, Y., Fang, J. and Wang, L.:
Fuzzy Chebyshev Type Inequality,
{\em International Journal of Approximate Reasoning} 48 (2008) 829-835.

\item Pap, E. :
Lebesgue and Saks Decompositions of ?-Decomposable Measures,
{\em Fuzzy Sets and Systems} 38 (1990) 345-353.

\item Pap, E. :
The Ranges of Null-Additive Fuzzy and Non-Fuzzy Measures,
{\em Fuzzy Sets and Systems} 65 (1994) 105-115.

\item Pap, E.:
Generalized Real Analysis and Its Applications,
{\em International Journal of Approximate Reasoning} 47 (2008) 368-386.

\item Pap. E. and Ralevi\'{c}, N.:
Pseudo-Laplace Transform,
{\em Nonlinear Analysis} 33 (1998) 533-550.

\item Pap, E. and Stajner, I.:
Generalized Pseudo-Convolution in the Theory of Probabilistic Metric Spaces,
Information, Fuzzy Numbers, Optimization, System Theory,
{\em Fuzzy Sets and Systems} 102 (1999) 393-415.

\item Pap, E. and Stajner-Papuga, I.:
Pseudo-Integral Based on Non-Associative and Non-Commutative Pseudo-Addition
and Pseudo-Multiplication,
{\em International Journal of Uncertaint, Fuzziness and Knowledge-Based Systems} 9 (2001) 159-167.

\item Pap, E. and \v{S}trboja, M.:
Generalization of the Jensen Inequality for Pseudo-Integral,
{\em Information Sciences} 180 (2010) 543-548.

\item Papageorgiou, N.S. :
Fuzzy Topology and Fuzzy Multifunctions,
{\em J. Math. Anal. Appl.} 109 (1985) 397-425.

\item Pu, P.-M. \& Liu, Y.-M. :
Fuzzy Topology I. Neighborhood Structure of a Fuzzy Point and Moore-Smith
Convergence,
{\em J. Math. Anal. Appl.} 76 (1980) 571-599.

\item Puri, M.L. and Ralescu, D. :
A Possibility Measure Is Not a Fuzzy Measure.
{\em Fuzzy Sets and Systems} 7 (1982) 311-313.

\item Puri, M.L. and Ralescu, D.A. :
Integration on Fuzzy Sets.
{\em Advances in Applied Mathematics} 3 (1982) 430-434.

\item Puri, M.L. and Ralescu, D.A. :
Differentials of Fuzzy Functions.
{\em Journal of Mathematical Analysis and Applications} 91 (1983)
552-558.

\item Qiao, Z. :
On the Extension of Possibility Measures.
{\em Fuzzy Sets and Systems} 32 (1989) 315-320.

\item Qiao, Z. :
On Fuzzy Measure and Fuzzy Integral on Fuzzy Set.
{\em Fuzzy Sets and Systems} 37 (1990) 77-92.

\item Qiao, Z. :
Fuzzy Integrals on L-fuzzy Sets.
{\em Fuzzy Sets and Systems} 38 (1990) 61-79.

\item Ralescu, D. and Adams, G. :
The Fuzzy Integral.
{\em Journal of Mathematical Analysis and Applications} 75 (1980)
562-570.

\item Ramakrishnan, T.V. :
Fuzzy Semi-Inner Product of Fuzzy Points,
{\em Fuzzy Sets and Systems} 89 (1997) 249-256.

\item Ramer, A. :
Conditional Possibility Measures.
{\em Cybernetics and Sustems} 20 (1989) 233-247.

\item Rodr\'{i}guez-Muniz, L.J. and L\'{o}pez-Diaz, M.:
Hukuhara Derivative of the Fuzzy Expected Value,
{\em Fuzzy Sets and Systems} 138 (2003) 593-600.

\item Rodr\'{i}guez-Muniz, L.J., L\'{o}pez-Diaz, M., Gil, M.A. and Ralescu, D.A.:
The s-Differentiability of a Fuzzy-Valued Mapping,
{\em Information Sciences} 151 (2003) 283-299.

\item Rojas-Medar, M.A., Jim\'{e}nez-Gamero, M.D., Chalco-Cano, Y. and
Viera-Brandao, A.J.:
Fuzzy Quasilinear Spaces and Applications,
{\em Fuzzy Sets and Systems} 152 (2005) 173-190.

\item Rom\'{a}n-Flores, H., Flores-Franuli\v{c}, A., Bassanezi, R.C.
and Rojas-Medar, M.:
On the Level-Continuity of Fuzzy Integrals,
{\em Fuzzy Sets and Systems} 80 (1996) 339-344.

\item Rom\'{a}n-Flores, H. and Rojas-Medar, M.:
Embedding of Level-Continuous Fuzzy Sets on Banach Spaces,
{\em Information Sciences} 144 (2002) 227-247.

\item Sims, J.R. and Wang, Z.-Y. :
Fuzzy Measures and Fuzzy Integrals : An Overview.
{\em International Journal of General Systems} 17 (1990) 157-189.

\item Song, S., Shi, P. \& Wang, H. :
The Convergence of (DG) Fuzzy Integrals,
{\em Fuzzy Sets and Systems} 90 (1997) 45-53.

\item Squillante, M. and Ventre, A.G. :
Fuzzy Measures and Convergence.
{\em Fuzzy Sets and Systems} 25 (1985) 251-257.

\item Squillante, M. and Ventre, A.G. :
Representations of the Fuzzy Integral.
{\em Fuzzy Sets and Systems} 29 (1989) 165-169.

\item Stajner-Papuga, I.:
Henstock-Kurzweil Type Integral Based on Generalized g-Semiring,
{\em International Journal of Uncertaint, Fuzziness and Knowledge-Based
Systems} 10 (2002) 89-104.

\item \v{S}tajner-Papuga, I., Grbi\'{c}, T. and Da\v{n}kova, M.:
Pseudo-Riemann-Stieltjes Integral,
{\em Information Sciences} 179 (2009) 2923-2933.

\item Stojakovi\'{c}. M. :
Fuzzy Valued Measure,
{\em Fuzzy Sets and Systems} 65 (1994) 95-104.

\item Sugeno, M. and Ishii, K. :
A Model of Human Evaluation Process Using Fuzzy Measure.
{\em Int. J. Man-Machine Studies} 22 (1985) 19-38.

\item Sugeno, M. \& Murofushi, T. :
Pseudo-Additive Measures and Integrals,
{\em J. Math. Anal. Appl.} 122 (1987) 197-222.

\item Suzuki, H. :
On Fuzzy Measures Defined by Fuzzy Integrals.
{\em Journal of Mathematical Analysis and Applications} 132 (1988)
87-101.

\item Suzuki, H. :
Atoms of Fuzzy Measures and Fuzzy Integrals,
{\em Fuzzy Sets and Systems} 41 (1991) 329-342.

\item Tsiporkova, E., de Baets, B. and Kerre, E.:
Continuity of Fuzzy Multivalued Mappings,
{\em Fuzzy Sets and Systems} 94 (1998) 335-348.

\item Wang, G. and Li, X.:
On the Weak Convergence of Sequences of Fuzzy Measures and Metric of
Fuzzy Measures,
{\em Fuzzy Sets and Systems} 112 (2000) 217-222.

\item Wang, G. and Li, X.:
Generalized Lebesgue Integrals of Fuzzy Complex Valued Functions,
{\em Fuzzy Sets and Systems} 127 (2002) 363-370.

\item Wang, G. and Wu, C.:
The Integral over a Directed Line Segment of Fuzzy Mapping and Its Applications,
{\em International Journal of Uncertaint, Fuzziness and Knowledge-Based
Systems} 12 (2004) 543-556.

\item Wang, Z., Leung, K.-S. and Klir, G.J.:
Applying Fuzzy Measures and Nonlinear Integrals in Data Mining,
{\em Fuzzy Sets and Systems} 156 (2005) 371-380.

\item Wang, Z., Leung, K.-S., Wong, M.-L. and Fang, J.:
A New Type of Nonlinear Integrals and the Computational Algorithm,
{\em Fuzzy Sets and Systems} 112 (2000) 223-231.

\item Wang, Z., Li, W., Lee, K.-H. and Leung, K.-S.:
Lower Integrals and Upper Integrals with Respect to Nonadditive Set Functions,
{\em Fuzzy Sets and Systems} 159 (2008) 646-660.

\item Wang, Z.-Y. :
The Autocontinuity of Set Function and the Fuzzy Integral.
{\em Journal of Mathematical Analysis and Applications} 99 (1984)
195-218.

\item Wang, Z.-Y. :
On the Null-Additivity and the Autocontinuity of a Fuzzy Measure,
{\em Fuzzy Sets and Systems} 45 (1992) 223-226.

\item Wang, Z.-Y., Klir, G.J. \& Wang, W. :
Fuzzy Measures Defined by Fuzzy Integral and Their Absolute Continuity,
{\em J. Math. Anal. Appl.} 203 (1996) 150-165.

\item Weber, S. :
Uncertainty Measures, Decomposability and Admissibility,
{\em Fuzzy Sets and Systems} 40 (1991) 395-405.

\item Weber, S. :
Conditional Measures Based on Archimedean Semigroups,
{\em Fuzzy Sets and Systems} 27 (1988) 63-72.

\item Weber, S. :
Conditional Measures and Their Applications to Fuzzyy Sets,
{\em Fuzzy Sets and Systems} 42 (1991) 73-85.

\item Wong, C.K. :
Fuzzy Points and Local Properties of Fuzzy Topology,
{\em J. Math. Anal. Appl.} 46 (1974) 316-328.

\item Wu, C.-X. and Ma, M. :
Some Properties of Fuzzy Integrable Function Space $L^{1}(\mu )$.
{\em Fuzzy Sets and Systems} 31 (1989) 397-400.

\item Wu, C.-X. and Ma, M. :
Embedding Problem of Fuzzy Number Space : Part I.
{\em Fuzzy Sets and Systems} 44 (1991) 33-38.

\item Wu, C.-X. and Ma, M. :
Embedding Problem of Fuzzy Number Space : Part II.
{\em Fuzzy Sets and Systems} 45 (1992) 189-202.

\item Wu, C.-X. and Ma, M. :
Embedding Problem of Fuzzy Number Space : Part III.
{\em Fuzzy Sets and Systems} 46 (1992) 281-286.

\item Wu, C.-X. and Liu, H.-S. :
On SRu Integral of Interval-valued Functions and Fuzzy-valued Functions.
{\em Fuzzy Sets and Systems} 55 (1993) 903-106.

\item Wu, C., Wang, S. and Ming, M. :
Generalized Fuzzy Integrals : Part I, Fundamental Concepts.
{\em Fuzzy Sets and Systems} 57 (1993) 219-226.

\item Wu, J.:
An Embedding Theorem for Fuzzy Numbers on Banach Spaces and Its Applications,
{\em Fuzzy Sets and Systems} 129 (2002) 57-63.

\item Wu, J., Xue, X. and Wu, C.:
Radon-Nikodym Theorem and Vitali-Hahn-Saks Theorem on Fuzzy Number
Measures in Banach Spaces,
{\em Fuzzy Sets and Systems} 117 (2001) 339-346.

\item Yao, J.-S. and Chang, S.-C.:
Fuzzy Measure Based on Decomposition Theory,
{\em Fuzzy Sets and Systems} 112 (2000) 187-205.

\item Zhang, D. and Guo, C.:
Fubini Theorem for $F$-Valued Integrals,
{\em Fuzzy Sets and Systems} 62 (1994) 355-358.

\item Zhang, D.-L. and Wang, Z.-X. :
Fuzzy Integrals of Fuzzy-valued Functions.
{\em Fuzzy Sets and Systems} 54 (1992) 63-67.

\item Zhang, G.-Q. :
Fuzzy Continuous Function and Its Properties.
{\em Fuzzy Sets and Systems} 43 (1991) 159-171.

\item Zhang, G.-Q. :
On Fuzzy Number-valued Fuzzy Measures Defined by Fuzzy Number-valued Fuzzy Integrals I.
{\em Fuzzy Sets and Systems} 45 (1992) 227-237.

\item Zhang, G.-Q. :
On Fuzzy Number-valued Fuzzy Measures Defined by Fuzzy Number-valued Fuzzy Integrals II.
{\em Fuzzy Sets and Systems} 48 (1992) 257-265.

\item Zhang, G.-Q. :
Fuzzy Number-valued Fuzzy Measure and Fuzzy Number-valued Fuzzy Integral on the Fuzzy Set.
{\em Fuzzy Sets and Systems} 49 (1992) 357-376.

\item Zhang, G.-Q. :
The Structural Characteristics of the Fuzzy Number-Valued Fuzzy Measure
on the Fuzzy $\sigma$-algebra and Their Applications.
{\em Fuzzy Sets and Systems} 52 (1992) 69-81.

\item Zhang, G.-Q. :
Convergence of a Sequence of Fuzzy Number-Valued Fuzzy Measurable
Functions on the Fuzzy Number-Valued Fuzzy Measurable Space.
{\em Fuzzy Sets and Systems} 57 (1993) 75-84.

\item Zhang, Q, Xu, Y. and Du, W.:
Lebesgue Decomposition Theorem for $\sigma$-Finite Signed Fuzzy Measures,
{\em Fuzzy Sets and Systems} 101 (1999) 445-451.

\begin{equation}{\label{k}}\tag{K}\mbox{}\end{equation}

Fuzzy Topology.

\item Abbas, S.E.:
Intuitionistic Spura Fuzzy Topological Spaces,
{\em Choas, Solitions and Fractals} 21 (2004) 1205-1214.

\item Abd-El-Hakeim, K.M.:
Fuzzy Weak Totally Semicontinuous and Fuzzy Weak Totally
Precontinuous Mappings,
{\em Fuzzy Sets and Systems} 119 (2001) 505-512.

\item Abd El-Hakeim, K.M., Zeyada, F.M. and Sayed, O.R.:
Pre-Continuity and $D(c,p)$-Continuity in Fuzzifying Topology,
{\em Fuzzy Sets and Systems} 119 (2001) 459-471.

\item Alimohammady, M. and Roohi, M.:
Fuzzy Minimal Structure and Fuzzy Minimal Vector Spaces,
{\em Chaos, Solitions and Fractals} 27 (2006) 599-605.

\item Alimohammady, M. and Roohi, M.:
Fuzzy $U_{m}$-Sets and Fuzzy $(U,m)$-Continuous Functions,
{\em Chaos, Solitions and Fractals} 28 (2006) 20-25.

\item Alimohammady, M. and Roohi, M.:
Compactness in Fuzzy Minimal Spaces,
{\em Chaos, Solitions and Fractals} 28 (2006) 906-912.

\item Alimohammady, M. and Roohi, M.:
Separation of Fuzzy Sets in Fuzzy Minimal Spaces,
{\em Chaos, Solitions and Fractals} 31 (2007) 155-161.

\item Caldas, M. and Jafari, S.:
$\theta$-Compact Fuzzy Topological Spaces,
{\em Chaos, Solitions and Fractals} 25 (2005) 229-232.

\item Coker, D. and Demirci, M.:
An Invitation to Topological Structures on First Order Genuine Sets,
{\em Fuzzy Sets and Systems} 119 (2001) 521-527.

\item Das, N.R. and Das, P.:
Fuzzy Bitopological Space Induced by Fuzzy Quasi-Pseudo Norm and
Its Conjugate,
{\em Fuzzy Sets and Systems} 119 (2001) 539-542.

\item Ekici, E.:
More on $\theta$-Compact Fuzzy Topological Spaces,
{\em Chaos, Solitions and Fractals} 27 (2006) 1157-1161.

\item Ekici, E.:
On Fuzzy Upper and Lower $s$-Limit Sets,
{\em Chaos, Solitions and Fractals} 28 (2006) 1090-1098.

\item El-Gayyar, M.K., Kerre, E.E. and Ramadan, A.A.:
On Smooth Topological Spaces II: Separation Axioms,
{\em Fuzzy Sets and Systems} 119 (2001) 495-504.

\item El-Monsef, M.E.A., Nasef, A.A. and Salama, A.A.:
Some Fuzzy Topological Operators via Fuzzy Ideals,
{\em Chaos, Solitions and Fractals} 12 (2001) 2509-2515.

\item Fang, J.-X. :
On Local Bases of Fuzzy Topological Vector Spaces,
{\em Fuzzy Sets and Systems} 87 (1997) 341-347.

\item Hatir, E. and Jafari, S.:
Fuzzy Semi-I-Open Sets and Fuzzy Semi-I-Continuity via
Fuzzy Idealization,
{\em Chaos, Solitions and Fractals} 34 (2007) 1220-1224.

\item Khedr, F.H., Zeyada, F.M. and Sayed, O.R.:
On Separation Axioms in Fuzzifying Topology,
{\em Fuzzy Sets and Systems} 119 (2001) 439-438.

\item Lupianez, F.G.:
On Fuzzy Subnets,
{\em Fuzzy Sets and Systems} 119 (2001) 535-538.

\item Lupianez, F.G.:
Quotient Fuzzy Topological Spaces,
{\em Fuzzy Sets and Systems} 119 (2001) 543-545.

\item Goguen, J.A. :
The Fuzzy Tychnoff Theorem,
{\em J. Math. Anal. Appl.} 43 (1973) 734-742.

\item Katsaras, A.K.:
Fuzzy Topological Vector Spaces I,
{\em Fuzzy Sets and Systems} 6 (1981) 85-95.

\item Katsaras, A.K.:
Fuzzy Topological Vector Spaces II,
{\em Fuzzy Sets and Systems} 12 (1984) 143-154.

\item Katsaras, A.K. \& Liu, D.B. :
Fuzzy Vector Spaces and Fuzzy Topological Vector Spaces,
{\em J. Math. Anal. Appl.} 58 (177) 135-146.

\item Mondal, T.K. and Samanta, S.K.:
Topology of Interval-Valued Intuitionistic Fuzzy Sets,
{\em Fuzzy Sets and Systems} 119 (2001) 483-494.

\item Nasef, A.A. and Hatir, E.:
On Fuzzy Pre-I-Open Sets and a Decomposition of Fuzzy I-Continuity,
{\em Chaos, Solitions and Fractals} (2007)

\item Nourouzi, K.:
On the Continuity of Fuzzy Nets,
{\em Chaos, Solitions and Fractals} (2007)

\item Ramadan, A.A., El-Deeb, S.N. and Abdel-Sattar, M.A.:
On Smooth Topological Spaces IV,
{\em Fuzzy Sets and Systems} 119 (2001) 473-482.

\item Saadati, R.:
On the ${\cal L}$-Fuzzy Topological Spaces,
{\em Chaos, Solitions and Fractals} 37 (2008) 1419-1426.

\item Saadati, R. and Park, J.H.:
On the Intuitionistic Fuzzy Topological Spaces,
{\em Chaos, Solitions and Fractals} 27 (2006) 331-344.

\item Shi, F.-G.:
A Note on the Compactness in $L$-Fuzzy Topological Spaces,
{\em Fuzzy Sets and Systems} 119 (2001) 547-548.

\item Wong, C.K. :
Covering Properties of Fuzzy Topological Spaces,
{\em J. Math. Anal. Appl.} 43 (1973) 697-704.

\item Wong, C.K. :
Fuzzy Topology : Product and Quotient Theorems,
{\em J. Math. Anal. Appl.} 45 (1974) 512-521.

\item Wong, C.K. :
Fuzzy Points and Local Properties of Fuzzy Topology,
{\em J. Math. Anal. Appl.} 46 (1974) 316-328.

\item Zahran, A.M., Abd-Allah, M.A., El-Nasser, A. and
EL-Rahman, G.A.:
Fuzzy Weakly Pre-open (Pre-closed) Function in Kubiak-\v{S}ostak
Fuzzy Topological Spaces,
{\em Chaos, Solitions and Fractals} (2007)

\item Zhang, X., Meng, G., Zheng, Y. and Zhang, Q.:
On Stratiform $L$-Fuzzy Topologies and Their Applications,
{\em Fuzzy Sets and Systems} 119 (2001) 513-519.

\begin{equation}{\label{l}}\tag{L}\mbox{}\end{equation}

Fuzzy Linear Systems.

\item Abbasbandy, S. and Ezzati, R.:
Newton’s Method for Solving a System of Fuzzy Nonlinear Equations,
{\em Applied Mathematics and Computation} 175 (2006) 1189-1199.

\item Abbasbandy, S., Ezzati, R. and Jafarian, A.:
LU Decomposition Method for Solving Fuzzy System of Linear Equations,
{\em Applied Mathematics and Computation} 172 (2006) 633-643.

\item Abbasbandy S. and Jafarian, A.:
Steepest Descent Methods for System of Fuzzy Linear Equations,
{\em Applied Mathematics and Computation} 175 (2006) 823-833.

\item Abbasbandy, S., Jafarian, A. and Ezzati, R.:
Conjugate Gradient Method for Fuzzy Symmetric Positive Definite System
of Linear Equations,
{\em Applied Mathematics and Computation} 171 (2005) 1184-1191.

\item Abbasbandy, S., Otadi, M. and Mosleh, M.:
Minimal Solution of General Dual Fuzzy Linear Systems,
{\em Chaos, Solitions and Fractals} 37 (2008) 1113-1124.

\item Allahviranloo, T.:
Numerical Methods for Fuzzy System of Linear Equations,
{\em Applied Mathematics and Computation} 155 (2004) 493-502.

\item Allahviranloo, T.:
Successive over Relaxation Iterative Method for Fuzzy System of Linear
Equations,
{\em Applied Mathematics and Computation} 162 (2005) 189-196.

\item Allahviranloo, T.:
The Adomian Decomposition Method for Fuzzy System of Linear Equations,
{\em Applied Mathematics and Computation} 163 (2005) 553-563.

\item Allahviranloo, T., Ahmady, E., Ahmady, N. and Alketaby, K.S.:
Block Jacobi Two-Stage Method with Gauss-Sidel Inner Iterations for
Fuzzy System of Linear Equations,
{\em Applied Mathematics and Computation} 175 (2006) 1217-1228.

\item Allahviranloo, T. and Kermani, M.A.:
Solution of a Fuzzy System of Linear Equation,
{\em Applied Mathematics and Computation} 175 (2006) 519-531.

\item Arnould, T. \& Tano, S. :
A Rule-Based Method to Calculate Exactly the Widest Solution Sets of a
Max-Min Fuzzy Relational Inequality,
{\em Fuzzy Sets and Systems} 64 (1994) 39-58.

\item Asady, B., Abbasbandy, S. and Alavi, M.:
Fuzzy General Linear Systems,
{\em Applied Mathematics and Computation} 169 (2005) 34-40.

\item Biacino, L. and Lettieri, A.:
Equations with Fuzzy Numbers,
{\em Information Sciences} 47 (1989) 63-76.

\item Blanco, A., Delgado, M. and Requena, I.:
Identification of Fuzzy Relational Equations by Fuzzy Neural Networks,
{\em Fuzzy Sets and Systems} 71 (1995) 215-226.

\item Blanco, A., Delgado, M. and Requena, I.:
Improved Fuzzy Neural Networks for Solving Relational Equations,
{\em Fuzzy Sets and Systems} 72 (1995) 311-322.

\item Buckley, J.J. :
Solving Fuzzy Equations in Economics and Finance.
{\ Fuzzy Sets and Systems} 48 (1992) 289-296.

\item Buckley, J.J. :
Solving Fuzzy Equations.
{\ Fuzzy Sets and Systems} 50 (1992) 1-14.

\item Buckley, J.J. and Eslami, E.:
Neural Net Solutions to Fuzzy Problems: The Quadratic Equation,
{\em Fuzzy Sets and Systems} 86 (1997) 289-298.

\item Buckley, J.J., Eslami, E. and Hayashi, Y.:
Solving Fuzzy Equations Using Neural Nets,
{\em Fuzzy Sets and Systems} 86 (1997) 271-278.

\item Buckley, J.J., Feuring, T. and Hayashi, Y.:
Solving Fuzzy Equations using Evolutionary Algorithms and Neural Nets,
{\em Soft Computing} 6 (2002) 116-123.

\item Buckley, J.J. and Qu, Yunxia :
Solving Linear and Quadratic Fuzzy Equations.
{\em Fuzzy Sets and Systems} 38 (1990) 43-59.

\item Buckley, J.J. and Qu, Yunxia :
On Using $\alpha$-cuts to Evaluate Fuzzy Equations.
{\ Fuzzy Sets and Systems} 38 (1990) 309-312.

\item Buckley, J.J. and Qu, Yunxia :
Solving Fuzzy Equations : A New Solution Concept.
{\em Fuzzy Sets and Systems} 39 (1991) 291-301.

\item Buckley, J.J. \& Qu. Y. :
Solving System of Linear Fuzzy Equations,
{\em Fuzzy Sets and Systems} 43 (1991) 33-43.

\item Cechl\'{a}rov\'{a}, K. and Cuninghame-Green, R.A.:
Interval Systems of Max-Separable Linear Equations,
{\em Linear Algebra and Its Applications} 340 (2002) 215-224.

\item Cho, Y.J., Huang, N.J. and Kang, S.M.:
Nonlinear Equations for Fuzzy Mappings in Probabilistic Normed Spaces,
{\em Fuzzy Sets and Systems} 110 (2000) 115-122.

\item Chung, F.-L. and Lee, T.:
A New Look at Solving a System of Fuzzy Relational Equations,
{\em Fuzzy Sets and Systems} 88 (1997) 343-353.

\item Dehghan, M. and Hashemi, B.:
Iterative Solution of Fuzzy Linear Systems,
{\em Applied Mathematics and Computation} 175 (2006) 645-674.

\item Dehghan, M. and Hashemi, B.:
Solution of the Fully Fuzzy Linear Systems Using the Decomposition Procedure,
{\em Applied Mathematics and Computation} 182 (2006) 1568-1580.

\item Dehghan, M., Hashemi, B. and Ghatee, M.:
Computational Methods for Solving Fully Fuzzy Linear Systems,
{\em Applied Mathematics and Computation} 179 (2006) 328-343.

\item Dehghan, M., Hashemi, B. and Ghatee, M.:
Solution of the Fully Fuzzy Linear Systems Using Iterative Techniques,
{\em Chaos, Solitions and Fractals} 34 (2007) 316-336.

\item Dubois, D. and Prade, H.:
Fuzzy Relation Equations and Causal Reasoning,
{\em Fuzzy Sets and Systems} 75 (1995) 119-134.

\item Friedman, M., Ma, M. and Kandel, A.:
Fuzzy Linear Systems,
{\em Fuzzy Sets and Systems} 96 (1998) 201-209.

\item Gottwald, S. :
Approximately Solving Fuzzy Relation Equations : Some Mathematical Results
and Some Heuristic Proposals,
{\em Fuzzy Sets and Systems} 66 (1994) 175-193.

\item Imai, H., Miyakoshi, M. \& Da-te, T. :
Some Properties of Minimal Solutions for a Fuzzy Relation Equation,
{\em Fuzzy Sets and Systems} 90 (1997) 335-340.

\item Kov\'{a}cs, M. :
Stable Embedding of Ill-Posed Linear Equality and Inequality Systems into
Fuzzified Systems,
{\em Fuzzy Sets and Systems} 45 (1992) 305-312.

\item Kwiesielewicz, M. :
On Explicit and Implicit Solutions of Fuzzy Linear Equations,
{\em Int. J. System Sciences} 26 (1995) 2277-2286.

\item Li, J.-X. :
The Smallest Solution of Max-Min Fuzzy Equations,
{\em Fuzzy Sets and Systems} 41 (1990) 317-327.

\item Li, J.-X. :
On an Algorithm for Solving Fuzzy Linear Systems,
{\em Fuzzy Sets and Systems} 61 (1994) 369-371.

\item Ma, M., Friedman, M. and Kandel, A.:
Duality in Fuzzy Linear Systems,
{\em Fuzzy Sets and Systems} 109 (2000) 55-58.

\item Marichal, J.-L.:
On the Associativity Functional Equation,
{\em Fuzzy Sets and Systems} 114 (2000) 381-389.

\item Markovskii, A.V.:
On the Relation between Equations with Max-Product Composition and
the Covering Problem,
{\em Fuzzy Sets and Systems} 153 (2005) 261-273.

\item Muzzioli, S. and Reynaerts, H.:
Fuzzy Linear Systems of the Form $A_{1}x+b_{1}=A_{2}x+b_{2}$,
{\em Fuzzy Sets and Systems} 157 (2006) 939-951.

\item Muzzioli, S. and Reynaerts, H.:
The Solution of Fuzzy Linear Systems by Nonlinear Programming: A
Financial Application,
{\em European Journal of Operational Research} 177 (2007) 1218-1231.

\item Nola, A.D. \& Sessa, S. :
Finite Fuzzy Relation Equations with a Unique Solution in Linear Lattices,
{\em J. Math. Anal. Appl.} 132 (1988) 39-49.

\item Pedrycz, W. :
On Solution of Fuzzy Functional Equations,
{\em J. Math. Anal. Appl.} 123 (1987) 589-604.

\item Rze\v{z}uchowski, T. and Wasowski, J.:
Solutions of Fuzzy Equations Based on Kaucher Arithmetic and
AE-Solutions Sets,
{\em Fuzzy Sets and Systems} 159 (2008) 2116-2129.

\item Sanchez, E.:
Solution of Fuzzy Equations with Extended Operations,
{\em Fuzzy Sets and Systems} 12 (1984) 237-248.

\item Selekwa, M.F. and Collins, E.G.:
Numerical Solutions for Systems of “Qualitative” Nonlinear Algebraic
Equations by Fuzzy Logic,
{\em Fuzzy Sets and Systems} 150 (2005) 599-609.

\item Sevastjanov, P. and Dymova, L.:
A New Method for Solving Interval and Fuzzy Equations: Linear Case,
{\em Information Sciences} 179 (2009) 925-937.

\item Vroman, A., Deschrijver, G. and Kerre, E.:
Solving Systems of Linear Fuzzy Equations by Parametric Functions — An
Improved Algorithm,
{\em Fuzzy Sets and Systems} 158 (2007) 1515-1534.

\item Wagenknecht, M. and Hartmann, K. :
Application of Fuzzy Sets of Type 2 to the Solution of Fuzzy Equation
Systems,
{\em Fuzzy Sets and Systems} 25 (1988) 183-190.

\item Wagenknecht, M. and Hartmann, K. :
On the Existence of Minimal Solutions for Fuzzy Equations with Tolerances,
{\em Fuzzy Sets and Systems} 34 (1990) 237-244.

\item Wang, K. and Zheng, B.:
Symmetric Successive Overrelaxation Methods for Fuzzy Linear Systems,
{\em Applied Mathematics and Computation} 175 (2006) 891-901.

\item Wang, K. and Zheng, B.:
Inconsistent Fuzzy Linear Systems,
{\em Applied Mathematics and Computation} 181 (2006) 973-981.

\item Wang, X., Zhong, Z. and Ha, M.:
Iteration Algoirthms for Solving a System of Fuzzy Linear Equations,
{\em Fuzzy Sets and Systems} 119 (2001) 121-128.

\item Wang, X.-P. and Xiong, Q.-Q.:
The Solution Set of a Fuzzy Relational Equation with Sup-Conjunctor
Composition in a Complete Lattice,
{\em Fuzzy Sets and Systems} 153 (2005) 249-260.

\item Zheng, B. and Wang, K.:
General Fuzzy Linear Systems,
{\em Applied Mathematics and Computation} 181 (2006) 1276-1286.

\begin{equation}{\label{m}}\tag{M}\mbox{}\end{equation}

Fuzzy Differential and Integral Equations.

\item Abbasbandy, S., Babolian, E. and Alavi, M.:
Numerical Method for Solving Linear Fredholm Fuzzy Integral Equations of the Second Kind,
{\em Chaos, Solitions and Fractals} 31 (2007) 138-146.

\item Abbasbandy, S. and Viranloo, T.A.:
Numerical Solution of Fuzzy Differential Equation by Runge-Kutta Method,
{\em Nonlinear Studies} 11 (2004) 117-129.

\item Abbasbandy, S., Viranloo, T.A., Lopez-Pouso and Nieto, J.J.:
Numerical Methods for Fuzzy Differential Inclusions,
{\em Computers and Mathematics with Applications} 48 (2004) 1633-1641.

\item Abbasbandy, S., Viranloo, T.A., L'{o}pez-Pouso, O. and Nieto, J.J.: (Fuzzy Differential and Integral Equation)
Numerical Methods for Fuzzy Differential Inclusions,
{\em Computers and Mathematics with Applications} 48 (2004) 1633-1641.

\item Agarwal, R.P., O’Regan, D. and Lakshmikantham, V.:
A Stacking Theorem Approach for Fuzzy Differential Equations,
{\em Nonlinear Analysis} 55 (2003) 299-312.

\item Agarwal, R.P., O’Regan, D. and Lakshmikantham, V.:
Viability Theory and Fuzzy Differential Equations,
{\em Fuzzy Sets and Systems} 151 (2005) 563-580.

\item Allahviranloo, T., Ahmady, E., Ahmady, N.:
$N$th Order Fuzzy Linear Differential Equations,
{\em Information Sciences} 178 (2008) 1309-1324.

\item Allahviranloo, T., Ahmady, N., Ahmady, E.:
Numerical Solution of Fuzzy Differential Equations by Predictor-Corrector Method,
{\em Information Sciences} 177 (2007) 1633-1647.

\item Allahviranloo, T., Kiani, N.A. and Motamedi, N.:
Solving Fuzzy Differential Equations by Differential Transformation Method,
{\em Information Sciences} 179 (2009) 956-966.

\item Allahviranloo, T., Kiani, N.A. and Barkhordari, M.:
Toward the Existence and Uniqueness of Solutions of Second-Order Fuzzy Differential Equations,
{\em Information Sciences} 179 (2009) 1207-1215.

\item Babolian, E., Goghary, H.S. and Abbasbandy, S.:
Numerical Solution of Linear Fredholm Fuzzy Integral Equations of the Second
Kind by Adomian Method,
{\em Applied Mathematics and Computation} 161 (2005) 733-744.

\item Babolian, E., Goghary, H.S. and Javadi, S.:
Numerical Solution of Fuzzy Differential Equations by Adomain Method,
{\em Applied Mathematics and Computation} 149 (2004) 547-557.

\item Bede, B. and Gal, S.G.:
Generalizations of the Differentiability of Fuzzy-Number-Valued Functions with Applications to Fuzzy Differential Equations,
{\em Fuzzy Sets and Systems} 151 (2005) 581-599.

\item Bede, B., Rudas, I.J. and Bencsik, A.L.:
First Order Linear Fuzzy Differential Equations under Generalized Differentiability,
{\em Information Sciences} 177 (2007) 1648-1662.

\item Bhaskar, T.G., Lakshmikantham, V. and Devi, V.:
Revisiting Fuzzy Differential Equations,
{\em Nonlinear Analysis} 58 (2004) 351-358.

\item Buckley, J.J. and Feuring, T.:
Introduction to Fuzzy Partial Differential Equations,
{\em Fuzzy Sets and Systems} 105 (1999) 241-248.

\item Buckley, J.J. and Feuring, T.:
Fuzzy Differential Equations,
{\em Fuzzy Sets and Systems} 110 (2000) 43-54.

\item Buckley, J.J. and Feuring, T.:
Fuzzy Initial Value Problem for $N$th Order Linear Differential Equations,
{\em Fuzzy Sets and Systems} 121 (2001) 247-255.

\item Buckley, J.J., Feuring, T. and Hayashi, Y.:
Linear Systems of First Order Ordinary Differential Equations: Fuzzy
Initial Conditions,
{\em Soft Computing} 6 (2002) 415-421.

\item Chalco-Cano, Y. and Rom\'{a}n-Flores, H.:
On New Solutions of Fuzzy Differential Equations
{\em Chaos, Solitions and Fractals} 38 (2008) 112-119.

\item Chen, M., Fu, Y., Xue, X. and Wu, C.:
Two-Point Boundary Value Problems of Undamped Uncertain Dynamical Systems,
{\en Fuzzy Sets and Systems} 159 (2008) 2077-2089.

\item Diamond, P.:
Time-Dependent Differential Inclusions, Cocycle Attractors and
Fuzzy Differential Equations,
{\em IEEE Trans. on Fuzzy Systems} 7 (1999) 734-740.

\item Diamond, P.:
Stability and Periodicity in Fuzzy Differential Equations,
{\em IEEE Trans. on Fuzzy Systems} 8 (2000) 583-590.

\item Diamond, P.: (Fuzzy Differential and Integral Equation)
Theory and Applications of Fuzzy Volterra Integral Equations,
{\em Fuzzy Sets and Systems} 129 (2002) 65-71.

\item Diamond, P.:
Theory and Applications of Fuzzy Volterra Integral Equations,
{\em IEEE Trans. on Fuzzy Systems} 10 (2002) 97-102.

\item Diamond, P. and Watson, P.:
Regularity of Solution Sets for Differential Inclusions Quasi-Concave
in a Parameter,
{\em Applied Mathematics Letters} 13 (2000) 31-35.

\item Ding, Z. and Kandel, A.:
Existence and Stability of Fuzzy Differential Equations,
{\em The Journal of Fuzzy Mathematics} 5 (1997) 681-697.

\item Ding, Z, Ma, M. and Kandel, A.:
Existence of the Solutions of Fuzzy Differential Equation with
Parameters,
{\em Information Sciences} 99 (1997) 205-217.

\item Friedman, M., Ma, M. \& Kandel, A. :
On the Validity of the Peano Theorem for Fuzzy Differential Equations,
{\em Fuzzy Sets and Systems} 86 (1997) 331-334.

\item Friedman, M., Ma, M. and Kandel, A.:
Solutions to Fuzzy Integral Equations with Arbitrary Kernels,
{\em International Journal of Approximate Reasoning} 20 (1999) 249-262.

\item Georgiou, D.N., Nieto, J.J. and Rodr\'{i}guez-Lopez, R.:
Initial Value Problems for Higher-Order Fuzzy Differential Equations,
{\em Nonlinear Analysis} 63 (2005) 587-600.

\item He, O. \& Wu, Y. :
On Fuzzy Differential Equations,
{\em Fuzzy Sets and Systems} 32 (1989) 321-325.

\item H\”{u}llermeier, E.:
An Approach to Modelling and Simulation of Uncertain Dynamical Systems,
{\em International Journal of Uncertainty, Fuzziness and Knowledge-Based
Systems} 5 (1997) 117-137.

\item H\”{u}llermeier, E.:
Numerical Methods for Fuzzy Initial Value Problems,
{\em International Journal of Uncertainty, Fuzziness and Knowledge-Based
Systems} 7 (1999) 439-461.

\item Kaleva, O.:
Fuzzy Differential Equations,
{\em Fuzzy Sets and Systems} 24 (1987) 301-317.

\item Kaleva, O. :
The Cauchy Problem for Fuzzy Differential Equations.
{\em Fuzzy Sets and Systems} 35 (1990) 389-396.

\item Kaleva, O.:
The Peano Theorem for Fuzzy Differential Equations Revisited,
{\em Fuzzy Sets and Systems} 98 (1998) 147-148.

\item Kaleva, O.: (Fuzzy Differential and Integral Equation)
A Note on Fuzzy Differential Equations,
{\em Nonlinear Analysis}, to appear.

\item Kandel, A., Friedman, M. and Ma, M.:
On Fuzziness and Duality in Fuzzy Differential Equations,
{\em International Journal of Uncertainty, Fuzziness and
Knowledge-Based Systems 4 (1996) 553-560.

\item Khastan, A. and Ivaz, K.:
Numerical Solution of Fuzzy Differential Equations by Nystr\”{o}m Method,
{\em Chaos, Solitions and Fractals} (2008).

\item Kloeden, P.E. :
Remarks on Peano-like Theorems for Fuzzy Differential Equations.
{\ Fuzzy Sets and Systems} 44 (1991) 161-163.

\item Lakshmikantham, V.:
Uncertain Systems and Fuzzy Differential Equations,
{\em Journal of Mathematical Analysis and Applications} 251 (2000) 805-817.

\item Lakshmikantham, V.:
Set Differential Equations versus Fuzzy Differential Equations,
{\em Applied Mathematics and Computation} 164 (2005) 277-294.

\item Lakshmikantham, V., Leela, S. and Vatsala, A.S.:
Interconnection between Set and Fuzzy Differential Equations,
{\em Nonlinear Analysis} 54 (2003) 351-360.

\item Lakshmikantham, V. and Mohapatra, R.N.:
Basic Properties of Solutions of Fuzzy Differential Equations,
{\em Nonlinear Studies} 8 (2001) 113-124.

\item Lakshmikantham, V. and Tolstonogov, A.A.:
Existence and Interrelation between Set and Fuzzy Differential Equations,
{\em Nonlinear Analysis} 55 (2003) 255-268.

\item Lakshmikantham, V. and Vatsala, A.S.:
Existence of Fixed Points of Fuzzy Mappings via Theory of Fuzzy
Differential Equations,
{\em Journal of Computational and Applied Mathematics} 113 (2000) 195-200.

\item Leland, R.P.:
Fuzzy Differential Systems and Malliavin Calculus,
{\em Fuzzy Sets and Systems} 70 (1995) 59-73.

\item Ma, M., Friedman, M. and Kandel, A.:
Numerical Solutions of Fuzzy Differential Equations,
{\em Fuzzy Sets and Systems} 105 (1999) 133-138.

\item Mailnowski, M.T.:
On Random Fuzzy Differential Equations,
{\em Fuzzy Sets and Systems} 160 (2009) 3152-3165.

\item Mordeson, J. \& Newman, W. :
Fuzzy Integral Equations,
{\em Information Sciences} 87 (1995) 215-229.

\item Nayak, P.C.:
Oscillation and Nonoscillation Theorems for Second
Order Fuzzy Differential Equations,
{\em The Journal of Fuzzy Mathematics} 7 (1999) 491-497.

\item Nayak, P.C. and Nanda:
Oscillation and Nonoscillation Theorems of the First and Second
Order Fuzzy Differential Equations,
{\em The Journal of Fuzzy Mathematics} 3 (1995) 863-870.

\item Nieto, J.J.:
The Cauchy Problem for Continuous Fuzzy Differential Equations,
{\em Fuzzy Sets and Systems} 102 (1999) 259-262.

\item Nieto, J.J., Rodr\'{i}guez-L\'{o}pez, R.:
Bounded Solutions for Fuzzy Differential and Integral Equations,
{\em Chaos, Solitions and Fractals} 27 (2006) 1376-1386.

\item O’Regan, D., Lakshmikantham, V. and Nieto, J.J.:
Initial and Boundary Value Problems for Fuzzy Differential Equations,
{\em Nonlinear Analysis} 54 (2003) 405-415.

\item Park, J.Y. and Han, H.K.:
Existence and Uniqueness Theorem for a Solution of Fuzzy Differential
Equations,
{\em International Journal of Mathematics and Mathematical Sciences} 22 (1999) 271-279.

\item Park, J.Y. and Han, H.K.:
Fuzzy Differential Equations,
{\em Fuzzy Sets and Systems} 110 (2000) 69-77.

\item Park, J.Y., Han, H.K. and Jeong, J.U.:
Asymptotic Behavior of Solutions of Fuzzy Differential Equations,
{\em Fuzzy Sets and Systems} 91 (1997) 361-364.

\item Park, J.Y., Han, H.K. and Son, K.-H.:
Fuzzy Differential Equation with Nonlocal Condition,
{\em Fuzzy Sets and Systems} 115 (2000) 365-369.

\item Park, J.Y., Jeong, I.H. and Lee, S.Y.:
Fuzzy Differential Equations and Solution Mapping,
{\em The Journal of Fuzzy Mathematics} 8 (2000) 425-432.

\item Park, J.Y. and Jeong, J.U.:
A Note on Fuzzy Integral Equations} 108 (1999) 193-200.

\item Park, J.Y. and Jeong, J.U.:
On the Existence and Uniqueness of Solutions of Fuzzy Volterra-Fredholm
Integral Equations,
{\em Fuzzy Sets and Systems} 115 (2000) 425-431.

\item Park, J.Y., Kwun, Y.C. and Jeong, J.U. :
Existence of Solutions of Fuzzy Integral Equations in Banach Spaces,
{\em Fuzzy Sets and Systems} 72 (1995) 373-378.

\item Park, J.Y., Lee, S.Y. and Jeong, J.U.:
The Approximate Solutions of Fuzzy Functional Integral Equations,
{\em Fuzzy Sets and Systems} 110 (2000) 79-90.

\item Park, J.Y., Lee, S.Y. and Kim, H.M.:
The Existence of Solutions for Fuzzy Differential Equations with
Infinite Delays,
{\em Indian Journal of Pure and Applied Mathematics} 31 (2000) 137-151.

\item Pearson, D.W.:
A Property of Linear Fuzzy Differential Equations,
{\em Applied Mathematics Letters} 10 No.3 (1997) 99-103.

\item Quyang, H. and Wu, Y.:
On Fuzzy Differential Equations,
{\em Fuzzy Sets and Systems} 32 (1989) 321-325.

\item Ralevi\'{c}, N.M., Nedovi\'{c}, L. and Grbi\'{c}, T.:
The Pseudo-Linear Superposition Principle for Nonlinear Partial Differential
Equations and Representation of Their Solution by the Pseudo-Integral,
{\em Fuzzy Sets and Systems} 155 (2005) 89-101.

\item Rodr\'{i}guez-L\'{o}pez, R.:
Periodic Boundary Value Problems for Impulsive Fuzzy Differential Equations,
{\em Fuzzy Sets and Systems} 159 (2008) 1384-1409.

\item Rodr\'{i}guez-L\'{o}pez, R.:
Monotone Method for Fuzzy Differential Equations,
{\em Fuzzy Sets and Systems} 159 (2008) 2047-2076.

\item Rze\v{z}uchowski, T. and Wasowski, J.:
Differential Equations with Fuzzy Parameters via Differential Inclusions,
{\em Journal of Mathematical Analysis and Applications} 255 (2001) 177-194.

\item Seikkala, S.:
On the Fuzzy Initial Value Problem,
{\em Fuzzy Sets and Systems} 24 (1987) 319-330.

\item Song, S., Guo, L. and Feng, C.:
Global Existence of Solutions to Fuzzy Differential Equations,
{\em Fuzzy Sets and Systems} 115 (2000) 371-376.

\item Song, S., Liu, Q.-Y. and Xu, Q.-C.:
Existence and Comparison Theorems to Volterra Fuzzy Integral
Equatioins in $(I\!\! R^{n},D)$,
{\em Fuzzy Sets and Systems} 104 (1999) 315-321.

\item Song, S. and Wu, C.:
Remark on Approximate Solutions, Existence, and Uniqueness of
the Cauchy Problem of Fuzzy Differential Equations,
{\em The Journal of Fuzzy Mathematics} 6 (1998) 923-928.

\item Song, S. and Wu, C.:
Existence and Uniqueness of Solutions to Cauchy Problem of Fuzzy
Differential Equations,
{\em Fuzzy Sets and Systems} 110 (2000) 55-67.

\item Song, S., Wu, C. and E.S. Lee:
Asymptotic Equilibrium and Stability of Fuzzy Differential Equations,
{\em Computers and Mathematics with Applications} 49 (2005) 1267-1277.

\item Stefanini, L.:
A Generalization of Hukuhara Difference and Division for Interval and Fuzzy Arithmetic,
{\em Fuzzy Sets and Systems} 161 (2010) 1564-1584.

\item Subrahmanyam, P.V. and Sudarsanam, S.K.:
A Note on Fuzzy Volterra Integral Equations,
{\em Fuzzy Sets and Systems} 81 (1996) 237-240.

\item Vorobiev, D. and Seikkala, S.:
Towards the Theory of Fuzzy Differential Equations,
{\em Fuzzy Sets and Systems} 125 (2002) 231-237.

\item Wu, C., Song, S. and Lee, E.S.:
Approximate Solutions, Existence, and Uniqueness of the Cauchy Problem of
Fuzzy Differential Equations,
{\em J. Math. Anal. Appl.} 202 (1996) 629-644.

\item Wu, C.X. and Song, S.J.:
Existence Theorem to the Cauchy Problem of Fuzzy Differential Equations
under Compactness-Type Conditions,
{\em Information Sciences} 108 (1998) 123-134.

\item Xue, X. and Fu, Y.:
Carath\'{e}odory Solutions of Fuzzy Differential Equations,
{\em Fuzzy Sets and Systems} 125 (2002) 239-243.

\item Xue, X. and Fu, Y.: (Fuzzy Differential and Integral Equation)
On the Structure of Solutions for Fuzzy Initial Value Problem,
{\em Fuzzy Sets and Systems} 157 (2006) 212-229..

\item Zhang, Y., Qiao, Z. and Wang, G.Y.:
Solving Processes for a System of First-Order Fuzzy Differential
Equations,
{\em Fuzzy Sets and Systems} 95 (1998) 333-347.

\item Zhang, Y. and Wnag, G.Y.:
Time Domain Methods for the Solutions of $n$-order Fuzzy Differential
Equations,
{\em Fuzzy Sets and Systems} 94 (1998) 77-92.

\item Zhang, Y., Wang, G.Y. and Liu, S.:
Frequency Domain Methods for the Solutions of $n$-Order Fuzzy Differential Equations,
{\em Fuzzy Sets and Systems} 94 (1998) 45-59.

\begin{equation}{\label{n}}\tag{N}\mbox{}\end{equation}

Fuzzy Matrix.

\item Cechl\'{a}rov\'{a}, K.:
Powers of Matrices over Distributive Lattices — A Review,
{\em Fuzzy Sets and Systems} 138 (2003) 627-641.

\item de Baets, B.:
Metric and ${\cal F}$-Equalities,
{\em Journal of Mathematical Analysis and Applications} 267 (2002) 531-547.

\item Duan, J.-S.:
The Transitive Closure, Convergence of Powers and Adjoint of Generalized
Fuzzy Matrices.
{\em Fuzzy Sets and Systems} 145 (2004) 301-311.

\item Fan, Z.-T.:
A Note on the Power Sequence of A Fuzzy Matrix,
{\em Fuzzy Sets and Systems} 102 (1999) 281-286.

\item Fan, Z.-T.:
On the Convergence of a Fuzzy Matrix in the Sense of Triangular Norms,
{\em Fuzzy Sets and Systems} 109 (2000) 409-417.

\item Fan, Z.-T. \& Liu, D.-F. :
Convergence of the Power Sequence of a Nearly Monotone Increasing Fuzzy
Matrix,
{\em Fuzzy Sets and Systems} 88 (1997) 363-372.

\item Fan, Z.-T. and Liu, D.-F.:
On the Oscillating Power Sequence of A Fuzzy Matrix,
{\em Fuzzy Sets and Systems} 93 (1998) 75-85.

\item Fan, Z.-T. and Liu, D.-F.:
On the Power Sequence of A Fuzzy Matrix (III). A Detailed Study on the
Power Sequence of Matrices of Commonly Used Types,
{\em Fuzzy Sets and Systems} 99 (1998) 197-203.

\item Gavalec, M.:
The General Trapezoidal Algorithm for Strongly Regular Maxi-Min Matrices,
{\em Linear Algebra and Its Applications} 369 (2003) 319-338.

\item Guu, S.-M., Lur, Y.-Y. and Pang, C.-T.:
On Infinite Products of Fuzzy Matrices,
{\em SIAM J. Matrix Anal. Appl.} 22 (2001) 1190-1203.

\item Hashimoto, H,:
Convergence of Powers of a Fuzzy Transitive Matrix,
{\em Fuzzy Sets and Systems} 9 (1983) 153-160.

\item Hashimoto, H.:
Canonical Form of a Transitive Fuzzy Matrix,
{\em Fuzzy Sets and Systems} 11 (1983) 157-162.

\item Hemashinha, R., Pal, N.R. and Bezdek, J.C.:
The Determinant of a Fuzzy Matrix with Respect to $t$ and co-$t$-norms,
{\em Fuzzy Sets and Systems} 87 (1997) 297-306.

\item Imai, H., Okahara, Y. and Miyakoshi, M.:
The Period of Powers of a Fuzzy Matrix,
{\em Fuzzy Sets and Systems} 109 (2000) 405-408.

\item Kaguei, S. \& Ohsato, A. :
The Rank of a Fuzzy Matrix and Its Evaluation,
{\em Fuzzy Sets and Systems} 38 (1990) 355-364.

\item Kim, J.B., Baartmans, A. and Sahadin, N.S.:
Determinant Theory for Fuzzy Matrices,
{\em Fuzzy Sets and Systems} 29 (1989) 349-356.

\item Kim, K.H. \& Roush, F.W.:
Generalized Fuzzy Matrices,
{\em Fuzzy Sets and Systems} 4 (1980) 293-315.

\item Kolodziejczyk, W. :
Convergence of Powers of s-transitive Fuzzy Matrices.
{\em Fuzzy Sets and Systems} 26 (1988) 127-130.

\item Li, J. and Zhang, W.:
On Convergence of the Min-Max Compositions of Fuzzy Matrices,
{\em Southeast Asian Bulletin of Mathematics} 24 (2000) 389-393.

\item Li, J.-X. :
Controllable Fuzzy Matrices,
{\em Fuzzy Sets and Systems} 45 (1992) 313-319.

\item Li, J.-X. :
Convergence of Powers of Controllable of Fuzzy Matrices,
{\em Fuzzy Sets and Systems} 62 (1994) 83-88.

\item Lur, Y.-Y., Pang, C.-T. and Guu, S.-M.:
On Simultaneously Nilpotent Fuzzy Matrices,
{\em Linear Algebra and Its Applications} 367 (2003) 37-45.

\item Lur, Y.-Y., Pang, C.-T. and Guu, S.-M.:
On the Nilpotent Fuzzy Matrices,
{\em Fuzzy Sets and Systems} 145 (2004) 287-299.

\item Lur, Y.-Y., Wu, Y.-K. and Guu, S.-M.:
Convergence of Max-Arithmetic Mean Powers of a Fuzzy Matrix,
{\em Fuzzy Sets and Systems} 158 (2007) 2516-2522.

\item Lur, Y.-Y., Wu, Y.-K. and Guu, S.-M.:
Convergence of Powers for a Fuzzy Matrix with Convex Combination of Max-Min and Max-Arithmetic Mean Operations,
{\em Information Sciences} 179 (2009) 938-944.

\item Pang, C.-T.:
On the Sequence of Consecutive Powers of a Fuzzy Matrix with
Max-Archimedean-t-norm,
{\em Fuzzy Sets and Systems} 138 (2003) 643-656.

\item Tan, Y.-J.:
On Nilpotent Matrices over Distributive Lattices,
{\em Fuzzy Sets and Systems} 151 (2005) 421-433.

\item Tang, F.C.:
Perturbation Techniques for Fuzzy Matrix Equations,
{\em Fuzzy Sets and Systems} 109 (2000) 363-369.

\item Thomason, M.G. :
Convergence of Powers of a Fuzzy Matrix.
{\em Journal of Mathematical Analysis and Applications} 57 (1977) 476-480.

\begin{equation}{\label{o}}\tag{O}\mbox{}\end{equation}

Fuzzy Logics.

\item Baaz, M. and Veith, H.:
Interpolation in Fuzzy Logic,
{\em Arch. Math. Logic} 38 (1999) 461-489.

\item Cignoli, R. and Torrens, A.:
H\'{a}jek Basic Fuzzy Logic and Lukasiewicz Infinite-Valued Logic,
{\em Arch Math. Logic} 42 (2003) 361-370.

\item Cintula, P.:
Advances in the $L\Pi$ and $L\Pi\frac{1}{2}$ Logics,
{\em Arch. Math. Logic} 42 (2003) 449-468.

\item Esteva, F., Godo, L. and Montagna, F.:
The $L\Pi$ and $L\Pi\frac{1}{2}$ Logics: Two Complete Fuzzy Systems Joining
Lukasiewicz and Product Logics,
{\em Arch. Math. Logic} 40 (2001) 39-67.

\item Ho, S.-Y., Hsieh, C.-H., Chen, H.-M. and Huang, H.-L.:
Interpretable Gene Expression Classifier with an Accurate and Compact
Fuzzy Rule Base for Microarray Data Analysis,
{\em BioSystems} 85 (2006) 165-176.

\item Ito, K. and Gunji, Y.-P.:
Self-Organized Marginal Stability Resulting from Inconsistency between
Fuzzy Logic and Deterministic Logic: An Application to Biological Systems,
{\em BioSystems} 41 (1997) 179-190.

\item Metcalfe, G., Olivetti, N. and Gabbay, D.:
Analytic Calculi for Product Logics,
{\em Arch. Math. Logic} 43 (2004) 859-889.

\item Paoli, F.:
On the Algebraic Structure of Linear, Relevance, and Fuzzy Logics,
{\em Arch. Math. Logic} 41 (2002) 107-121.

\item Zadeh, L.A.:
Toward Extended Fuzzy Logic — A First Step,
{\em Fuzzy Sets and Systems} 160 (2009) 3175-3181.

\begin{equation}{\label{p}}\tag{P}\mbox{}\end{equation}

 Fuzzy Metric Spaces.

\item Chaudhuri, B.B. and Rosenfeld, A.:
A Modified Hausdorff Distance between Fuzzy Sets,
{\em Information Sciences} 118 (1999) 159-171.

\item Diamond, P. \& Kloeden, P. :
Metric Spaces of Fuzzy Sets,
{\em Fuzzy Sets and Systems} 35 (1990) 241-249.

\item Fan, J.-L.:
Note on Hausdorff-Like Metrics for Fuzzy Sets,
{\em Pattern Recognition Letters} 19 (1998) 793-796.

\item Goetschel, R. \& Voxman, W. :
A Pseudometric for Fuzzy Sets and Certain Related Results,
{\em J. Math. Anal. Appl.} 81 (1981) 507-523.

\item Gregori, V. and Romaguera, S.:
Some Properties of Fuzzy Metric Spaces,
{\em Fuzzy Sets and Systems} 115 (2002) 399-404.

\item Gregori, V. and Romaguera, S.:
On Completion of Fuzzy Metric Spaces,
{\em Fuzzy Sets and Systems} 130 (2000) 485-489.

\item Gregori, V., Romaguera, S. and Sapena, A.:
A Characterization of Bicompletable Fuzzy Quasi-Metric Spaces,
{\em Fuzzy Sets and Systems} 152 (2005) 395-402.

\item Gregori, V., Romaguera, S. and Sapena, A.:
A Note on Intuitionistic Fuzzy Metric Spaces
{\em Chaos, Solitions and Fractals} 28 (2006) 902-905.

\item Huang, N.-J. and Lan, H.-Y.:
A Couple of Nonlinear Equations with Fuzzy Mappings in Fuzzy Normed Spaces,
{\em Fuzzy Sets and Systems} 152 (2005) 209-222.

\item Kaleva, O.:
A Comment on the Completion of Fuzzy Metric Spaces,
{\em Fuzzy Sets and Systems} 159 (2008) 2190-2192.

\item Kramosil, I. and Michalek, J.:
Fuzzy Metric and Statistical Metric Spaces, {\em Kybernetika} 11 (1975) 336-344.

\item Rodr\'{i}guez-L\'{o}pez, J. and Romaguera, S.:
The Hausdorff Fuzzy Metric on Compact Sets,
{\em Fuzzy Sets and Systems} 147 (2004) 273-283.

\item Wu, C.X. and Zhao, Z.:
Some Notes on the Characterization of Compact Sets of Fuzzy Sets with $L_{p}$ Metric,
{\em Fuzzy Sets and Systems} 159 (2008) 2104-2115.

\begin{equation}{\label{q}}\tag{Q}\mbox{}\end{equation}

Possibility.

\item Bobylev, V.N. :
A Possibilistic Argument for Irreversibility,
{\em Fuzzy Sets and Systems} 34 (1990) 73-80.

\item Bouchon-Meunier, B., Coletti, G. and Marsala, C.:
Independence and Possibilistic Conditioning,
{\em Annals of Mathematics and Artificial Intelligence} 35 (2002) 107-123.

\item Cao, Y. \& Qu, X. :
On Possibility Distrbution,
{\em Fuzzy Sets and Systems} 69 (1995) 171-179.

\item Carlsson, C., Full\'{e}r, R. and Majlender, P.:
On Possibilistic Correlation,
{\em Fuzzy Sets and Systems} 155 (2005) 425-445.

\item Coletti, G. and Vantaggi, B.:
Possibility Theory: Conditional Independence,
{\em Fuzzy Sets and Systems} 157 (2006) 1491-1513.

\item Dubois, D. and Prade, H.:
A Synthetic View of Belief Revision with Uncertain Inputs in the Framework
of Possibility Theory,
{\em International Journal of Approximate Reasoning} 17 (1997) 295-324.

\item Miranda, E. and de Cooman, G.:
Epistemic Independence in Numerical Possibility Theory,
{\em International Journal of Approximate Reasoning} 32 (2003) 23-42.

\item Nguyen, H.T. :
On Conditional Possibility Distributions.
{\em Fuzzy Sets and Systems} 1 (1978) 299-309.

\item Nguyen, H.T. and B. Bouchon-Meunier:
Random Sets and Large Deviations Principle as a Foundation for Possibility
Measures,
{\em Soft Computing} 8 (2003) 61-70.

\item Recasens, J. and Lawry, J.:
Normalizing Possibility Distributions Using $t$-Norms,
{\em International Journal of Uncertainty, Fuzziness and Knowledge-Based
Systems} 11 (2003) 343-360.

\item Snow, P.:
The Reasonableness of Necessity,
{\em International Journal of Approximate Reasoning} 33 (2003) 287-301.

\item Utkin, L.V.:
Extensions of Belief Functions and Possibility Distributions by Using the
Imprecise Dirichlet Model,
{\em Fuzzy Sets and Systems} 154 (2005) 413-431.

\item Walley, P. and de Cooman, G.:
Coherence of Rules for Defining Conditional Possibility,
{\em International Journal of Approximate Reasoning} 21 (1999) 63-107.

\item Zadeh, L.A. :
Fuzzy Sets as a Basis for a Theory of Possibility.
{\em Fuzzy Sets and Systems} 1 (1978) 3-28.

\begin{equation}{\label{r}}\tag{R}\mbox{}\end{equation}

t-norms.

\item Bertoluzza, C. and Cariolaro, D. :
On the Measure of a Fuzzy Set Based on Continuous t-conorms,
{\em Fuzzy Sets and Systems} 88 (1997) 355-362.

\item Bertoluzza, C. and Cariolaro, D.:
On the Measure of a Fuzzy Set Based on Continuous $t$-conorms,
{\em Fuzzy Sets and Systems} 88 (1997) 355-362.

\item Budin\v{c}evi\'{c}, M. and Kurili\'{c}, M.S.:
A Family of Strict and Discontinuous Triangular Norms,
{\em Fuzzy Sets and Systems} 95 (1998) 381-384.

\item Butnariu, D. and Klement, E.P.:
Triangular Norm-Based Measures and Their Markov Kernel Representation,
{\em Journal of Mathematical Analysis and Applications} 162 (1991) 111-143.

\item Butnariu, D., Klement, E.P. and Zafrany, S.:
On Triangular Norm-Based Propositional Fuzzy Logics,
{\em Fuzzy Sets and Systems} 69 (1995) 241-255.

\item Das, P. :
Fuzzy Vector Spaces under Triangular Norms,
{\em Fuzzy Sets and Systems} 25 (1988) 73-85.

\item de Baets, B. and Mesiar, R.:
Triangular Norms on Product Lattices,
{\em Fuzzy Sets and Systems} 104 (1999) 61-75.

\item Deschrijver, G.:
Generalized Arithmetic Operators and Their Relationship to $t$-Norms in Interval-Valued Fuzzy Set Theory,
{\em Fuzzy Sets and Systems} 160 (2009) 3080-3102.

\item Deschrijver, G., Cornelis, C. and Kerre, E.E.:
On the Representation of Intuitionistic Fuzzy $t$-Norms and $t$-Conorms,
{\em IEEE Transactions on Fuzzy Systems} 12 (2004) 45-61.

\item Drossos, C.A.:
Generalizaed $t$-Norm Structures,
{\em Fuzzy Sets and Systems} 104 (1999) 53-59.

\item Dubois, D. and Prade, H. :
A Class of Fuzzy Measures Based on Triangular Norms,
{\em Int. J. General Systems} 8 (1982) 43-61.

\item Durante, F. and Sarkoci, P.:
A Note on the Convex Combinations of Triangular Norms,
{\em Fuzzy Sets and Systems} 159 (2008) 77-80.

\item Ferracuti, L. and Vantaggi, B.:
Independence and Conditional Possibility for Strictly Monotone Triangular Norms,
{\em International Journal of Intelligent Systems} 21 (2006) 299-323.

\item Genest, C., Molina, J.J.Q., Lallena, J.A.R. and Sempi, C.:
A Characterization of Quasi-Copulas,
{\em Journal of Multivariate Analysis} 69 (1999) 193-205.

\item Gonz\'{a}lez, L.:
A Note on the Infinitary Action of Triangular Norms and Conorms,
{\em Fuzzy Sets and Systems} 101 (1999) 177-180.

\item Gottwald, S.:
Axiomatizations of $t$-norm Based Logics — A Survey,
{\em Soft Computing} 4 (2000) 63-67.

\item Hong, D.H. and Hwang, S.K.:
The Convergence of $T$-product of Fuzzy Numbers,
{\em Fuzzy Sets and Systems} 85 (1997) 373-378.

\item Hong, D.H. and Hwang, C.:
A $T$-Sum Bound of $LR$-Fuzzy Numbers,
{\em Fuzzy Sets and Systems} 91 (1997) 239-252.

\item Hwang, S.Y., Hwang, J.J. and An, J.H.:
The Triangular Norm-Based Addition of Fuzzy Intervals,
{\em Applied Mathematics Letters} 11 No.4 (1998) 9-13.

\item Jenei, S.:
New Family of Triangular Norms via Contrapositive Symmetrization of Residuated Implications,
{\em Fuzzy Sets and Systems} 110 (2000) 157-174.

\item Karacal, F.:
An Answer to an Open Problem on Triangular Norms,
{\em Fuzzy Sets and Systems} 155 (2005) 459-463.

\item Klement, E.P.:
Characterization of Fuzzy Measures Constructed by Means of Triangular Norms,
{\em Journal of Mathematical Analysis and Applications} 86 (1982) 345-358.

\item Klement, E.P.:
Construction of Fuzzy $\sigma$-Algebra Using Triangular Norms,
{\em Journal of Mathematical Analysis and Applications} 85 (1982) 543-565.

\item Klement, E.P., Mesiar, R. and Pap, E. :
A Characterization of the Ordering of Continuous t-norms,
{\em Fuzzy Sets and Systems} 86 (1997) 189-195.

\item Klement, E.P., Mesiar, R. and Pap, E. : (t-norms)
On the Order ot Triangular Norms,
{\em Fuzzy Sets and Systems} 131 (2002) 409-413.

\item Koles\'{a}rov\'{a}, A.:
Similarity Preserving $t$-Norm-Based Additions of Fuzzy Numbers,
{\em Fuzzy Sets and Systems} 91 (1997) 215-229.

\item Markov\'{a}, A. :
T-sum of L-R Fuzzy Numbers,
{\em Fuzzy Sets and Systems} 85 (1997) 379-384.

\item Mesiar, R.:
Triangular-Norm-Based Addition of Fuzzy Intervals,
{\em Fuzzy Sets and Systems} 91 (1997) 231-237.

\item Mesiar, R.:
Different Interpretations of Triangular Norms and Related Operations,
{\em Fuzzy Sets and Systems} 96 (1998) 183-189.

\item Mesiar, R. and Mesiarov\'{a}-Zem\'{a}nkova, A.:
Convex Combinations of Continuous t-torm with the Sams Diagonal Function,
{\em Nonlinear Analysis} 69 (2008) 2851-2856.

\item Mesiar, R. and Pap, E.:
Different Interpretations of Triangular Norms and Related Operations,
{\em Fuzzy Sets and Systems} 96 (1998) 183-189.

\item Markov\'{a}-Stup\v{n}anov\'{a}, A.:
A Note to the Addition of Fuzzy Numbers Based on a Continuous Archimedean $T$-Norm,
{\em Fuzzy Sets and Systems} 91 (1997) 253-258.

\item Mesiarov\'{a}, A.:
$k$-$l_{p}$-Lipschitz t-Norms,
{\em International Journal of Approximate Reasoning} 46 (2007) 596-604.

\item Molina, J.J.Q. and Sempi, C.:
Discrete Quasi-Copulas,
{\em Insurance: Mathematics and Economics} 37 (2005) 27-41.

\item Nelsen, R.B., Quesada-Molina, J.J., Rodr\'{i}guez-Lallena, J.A. and
\'{U}beda-Flores, M.:
Kendall Distribution Functions and Associative Copulas,
{\em Fuzzy Sets and Systems}

\item Moser, B., Tsiporkova, E. and Klement, E.P.:
Convex Combinations In Terms of Triangular Norms: A Characterization
of Idempotent, Bisymmetrical and Self-dual Compensatory Operators,
{\em Fuzzy Sets and Systems} 104 (1999) 97-108.

\item Navara, M.:
Characterization of Measures Based on Strict Triangular Norms,
{\em Journal of Mathematical Analysis and Applications} 236 (1999) 370-383.

\item Nourouzi, K. and Aghajani, A.:
Convexity in Triangular Norm of Fuzzy Sets,
{\em Chaos, Solitions and Fractals} 36 (2008) 883-889.

\item Petr\'{i}k, M. and Sarkoci, P.:
Convex Combinations of Nilpotent Triangular Norms,
{\em Journal of Mathematical Analysis and Applications} (2008).

\item Rocychowdhury, S.:
Connective Generators for Archimedian Triangular Operators,
{\em Fuzzy Sets and Systems} 94 (1998) 367-384.

\item Roychowdhury, S. and Wang, B.-H.:
On Generalized Hamacher Families of Triangular Operators,
{\em International Journal of Approximate Reasoning} 19 (1998) 419-439.

\item Rodr\'{i}guez-Lallena, J.A. and \'{U}beda-Flores, M.:
Some New Characterizations and Properties of Quasi-Copulas,
{\em Fuzzy Sets and Systems}

\item Sessa, S. and Ray, S.:
Representation of an MV-Algebra by Its Triangular Norms,
{\em International Journal of Approximate Reasoning} 18 (1998) 171-175.

\item Shang, X.-G. and Jiang, W.-S.:
Addition of Fuzzy Numbers Based on Generalized $t$-Norms,
{\em Fuzzy Sets and Systems} 98 (1998) 95-99.

\item Siburg, K.F. and Stoimenov, P.A.:
A Scalar Product for Copulas,
{\em Journal of Mathematical Analysis and Applications} 344 (2008) 429-439.

\item Smutn\'{a}, D.:
Limit $t$-Norms as a Basis for the Construction of New $t$-Norms,
{\em International Journal of Uncertainty, Fuziness and Knowledge-Based
Systems} 9 (2001) 239-247.

\item Vicen\'{i}k, P.:
Additive Generators of Border-Continuous Triangular Norms,
{\em Fuzzy Sets and Systems} 159 (2008) 1631-1645.

\item Walker, C.L. and Walker, E.A.:
Powers of $t$-Norms,
{\em Fuzzy Sets and Systems} 129 (2002) 1-18.

\item Wang, Z.:
Generating Pseudo-t-Norms and Implication Operators,
{\em Fuzzy Sets and Systems} 157 (2006) 398-410.

\item Weber, S.:
A General Concept of Fuzzy Connectives, Negation and Implications Based on
$t$-Norms and $t$-Conorms,
{\em Fuzzy Sets and Systems} 11 (1983) 115-134.

\item Weber, S. :
\perp-Decomposable Measures and Integrals for Archimedean t-conorms ?
{\em Journal of Mathematical Analysis and Applications} 101 (1984)
114-138.

\item Yao, Q. and Fang, J.:
Some Results of Weighted Quasi-Arithmetic Mean of Continuous
Triangular Norms,
{\em Information Sciences} 178 (2008) 4396-4402.

\item Yu, L. and Voit, E.O.:
Construction of Bivariate $S$-Distributions with Copulas,
{\em Computational Statistics and Data Analysis} 51 (2006) 1822-1839.

\item Zhang, D.:
Triangular Norms on Partially Ordered Sets,
{\em Fuzzy Sets and Systems} 153 (2005) 195-209.