Topics are
- Fusion of Fuzziness and Randomness
- Fuzzy Random Variables
- Fuzzy Stochastic Processes
- Fuzzy Regression Analysis
- Fuzzy Statistical Analysis
- Fuzzy Time Series
- Fuzzy Inventory Models
- Fuzzy Queues
- Fuzzy Simulation
\begin{equation}{\label{a}}\tag{A}\mbox{}\end{equation}
Fusion of Fuzziness and Randomness.
\item Baldwin, J.F., Lawry, J. and Martin, T.P.:
A Mass Assignment Theory of the Probability of Fuzzy Events,
{\em Fuzzy Sets and Systems} 83 (1996) 353-367.
\item Baldwin, J.F., Lawry, J. and Martin, T.P.:
A Note on the Conditional Probability of Fuzzy Subsets of a Continuous
Domain,
{\em Fuzzy Sets and Systems} 96 (1998) 211-222.
\item Baudrit, C. and Dubois, D.:
Practical Representations of Incomplete Probabilistic Knowledge,
{\em Computational Statistics and Data Analysis} 51 (2006) 86-108.
\item Bolanos Carmona, M.J., Campose Ibanez, L.M.de. and Gonzalez Munoz, A. :
Convergence Properties of the Monotone Expectation and Its Application to
the Extension of Fuzzy Measures.
{\em Fuzzy Sets and Systems} 33 (1989) 201-212.
\item Bordley, R.F.:
Reformulating Decision Theory Using Fuzzy Set Theory and Shafer’s Theory
of Evidence,
{\em Fuzzy Sets and Systems} 139 (2003) 243-266.
\item Buckley, J.J. :
A General Theory of Uncertainty Based on t-conorms.
{\em Fuzzy Sets and Systems} 49 (1992) 261-269.
\item Buckley, J.J.:
Uncertain Probabilities III: The Continuous Case,
{\em Soft Computing} 8 (2004) 200-206
\item Buckley, J.J. and Eslami, E.:
Uncertain Probabilities I: The Discrete Case,
{\em Soft Computing} 7 (2003) 500-505.
\item Buckley, J.J. and Eslami, E.: (Fuzziness and Randomness)
Uncertain Probabilities II: The Continuous Case,
{\em Soft Computing} 8 (2004) 193-199.
\item Buckley, J.J., Reilly, K. and Zheng, X.:
Fuzzy Probabilities for Web Planning,
{\em Soft Computing} 8 (2004) 464-476.
\item Campos Ibanez, L.M.de. and Bolanos Carmona, M.J. :
Representation of Fuzzy Measures through Probabilities.
{\em Fuzzy Sets and Systems} 31 (1989) 23-36.
\item Chiang, J.-H. and Yao, J.-S.:
Fuzzy Probability over Fuzzy $\sigma$-Field with Fuzzy Topological Spaces,
{\em Fuzzy Sets and Systems} 116 (2000) 201-223.
\item Couso, I., Sanchez. L. and Gil. P.:
Imprecise Distribution Function Associated to a Random Set,
{\em Information Sciences} 159 (2004) 109-123.
\item de Cooman, G.:
A Behavioural Model for Vague Probability Assessments,
{\en Fuzzy Sets and Systems} 154 (2005) 305-358.
\item Drakopoulos, J.A.:
Probabilities, Possibilities, and Fuzzy Sets,
{\em Fuzzy Sets and Systems} 75 (1995) 1-15.
\item Drossos, C.A. and Theodoropoulos, P.L.:
B-Fuzzy Probabilities,
{\em Fuzzy Sets and Systems} 78 (1996) 335-369.
\item Dubois, D. and Prade, H. :
When Upper Probability are Possibility Measures.
{\em Fuzzy Sets and Systems} 49 (1992) 65-74.
\item Dubois, D. and Prade, H. :
Fuzzy Sets, Probability and Measurement.
{\em European Journal of Operational Research} 40 (1989) 135-154.
\item Florea, M.C., Jousselme, A.-L., Grenier, D. and Boss\'{e}, E.:
Approximation Techniques for the Transformation of Fuzzy Sets into
Random Sets,
{\em Fuzzy Sets and Systems} 159 (2008) 270-288.
\item Hansen, P., Jaumard, B., de Aragao, M.P., Chauny, F. and
Perron, S.:
Probabilistic Satisfiability with Imprecise Probabilities,
{\em International Journal of Approximate Reasoning} 24 (2000) 171-189.
\item Heilpern, S. :
The Expected Value of a Fuzzy Number.
{\em Fuzzy Sets and Systems} 47 (1992) 81-86.
\item Heilpern, S. :
Fuzzy Subsets of the Space of Probability Measures and Expected Value
of Fuzzy Variable.
{\em Fuzzy Sets and Systems} 54 (1993) 301-309.
\item Hirota, K. :
Concepts of Probabilistic Sets.
{\em IEEE Conference on Decision and Control} (1977) 1361-1366.
\item Hirota, K. :
Concepts of Probabilistic Sets.
{\em Fuzzy Sets and Systems} 5 (1981) 31-46.
\item Hirota, K. :
Probabilistic Sets – A Survey.
{\em Combining Fuzzy Imprecision with Probabilistic Uncertainty in
Decision Making} (Eds : Kacprzyk, J. and Fedrizzi, M.) (1988).
\item Hirota, K. and Pedrycz, W. :
Interpretation of Results of Ranking Methods with the Aid of Probabilistic Sets.
{\em Fuzzy Sets and Systems} 32 (1989) 263-274.
\item Hoffman, M.E., Manevitz, L.M. \& Wong, E.K. :
Fuzzy Independence and Extended Conditional Probability,
{\em Information Sciences} 90 (1996) 137-156.
\item Hohle, U. :
Fuzzy Measures as Extensions of Stochastic Measures.
{\em J. Math. Anal. and Appl.} 92 (1983) 372-380.
\item Holzbaur, U.D. :
A Concept of Fuzzy Transition Probabilities,
{\em Annals of Operations Research} 32 (1991) 35-50.
\item Klement, E.P. and Schwyhla, W. :
Fuzzy Probability Measures.
{\ Fuzzy Sets and Systems} 5 (1981) 21-30.
\item Kosko, B. :
Additions as Fuzzy Mutual Entropy,
{\em Information Sciences} 73 (1993) 273-284.
\item Kosko, B. :
Fuzzy Entropy and Cinditioning,
{\em Information Sciences} 40 (1986) 165-174.
\item Huang, T., Zhao, R. and Tang, W.:
Risk Model with Fuzzy Random Individual Claim Amount,
{\em European Journal of Operational Research} 192 (2009) 879-890.
\item Kurano, M., Yasuda, M., Nakagami, J.-I. and Yoshida, Y. :
A Fuzzy Approach to Markov Decision Processes with Uncertain
Transition Probabilities,
{\em Fuzzy Sets and Systems} 157 (2006) 2674-2682.
\item Laviolette, M., Seaman, J.W., Barrett, J.D. \& Woodall, W.H. :
A Proabilistic and Statistical View of Fuzzy Methods,
{\em Technometrics} 37 (1995) 249-292.
\item Mesiar, R. :
A Remark on Piasecki’s Bayes Formula for Fuzzy Probability Measures,
{\em Fuzzy Sets and Systems} 37 (1990) 245-246.
\item Mesiar, R. :
The Bayes Principle and the Entropy on Fuzzy Probability Spaces,
{\em Int. J. General System} 20 (???) 67-71.
\item Miranda, E., Couso, I. and Gil, P.:
Random Interval as a Model for Imprecise Information,
{\em Fuzzy Sets and Systems} 154 (2005) 386-412.
\item Narukawa, Y. and Torra, V.:
Fuzzy Measure and Probability Distributions: Distorted Probabilities,
{\em IEEE Trans. on Fuzzy Systems} 13 (2005) 617-629.
\item Natvig, B. :
Possibility versus Probability.
{\em Fuzzy Sets and Systems} 10 (1983) 31-36.
\item Nguyen, H.T. :
On Fuzziness and Linguistic Probabilities.
{\em Journal of Mathematical Analysis and Applications} 61 (1977)
658-671.
\item Nguyen, H.T. :
On Random Sets and Belief Functions.
{\em J. Math. Anal. and Appl.} 65 (1978) 531-542.
\item Nguyen, H.T. :
Some Mathematical Tools for Linguistic Probabilities.
{\em Fuzzy Sets and Systems} 2 (1979) 53-65.
\item Nguyen, H.T. :
Fuzzy Sets and Probability,
{\em Fuzzy Sets and Systems} 90 (1997) 129-132.
\item Nguyen, H.T.:
Fuzzy and Random Sets,
{\em Fuzzy Sets and Systems} 156 (2005) 349-356.
\item Ralescu, A.L. \& Ralescu, D.A. :
Probability and Fuzziness,
{\em Information Sciences} 34 (1988) 85-92.
\item Smets, P. :
The Degree of Belief in a Fuzzy Event.
{\em Information Sciences} 25 (1981) 1-19.
\item Smets, P. :
Probability of a Fuzzy Event : An Axiomatic Approach.
{\em Fuzzy Sets and Systems} 7 (1982) 153-164.
\item Stanford, R.E. :
The Set of Limiting Distributions for a Markov Chain with Fuzzy Transition
Probabilities.
{\em Fuzzy Sets and Systems} 7 (1982) 71-78.
\item Symeonaki, M.A. and Stamou, G.B.:
Rate of Convergence, Asymptotically Attainable Structures and Sensitivity
in Non-Homogeneous Markov Systems with Fuzzy States,
{\em Fuzzy Sets and Systems} 156 (2006) 143-159.
\item Toth, H. :
Probabilities and Fuzzy Events : An Operational Approach.
{\em Fuzzy Sets and Systems} 48 (1992) 113-127.
\item Wilson, N. :
Vagueness and Bayesian Probability,
{\em IEEE Transactions on Fuzzy Systems} 2 (1994) 34-36.
\item Wonneberger, S. :
Generalization of an Invertible Mapping between Probability and Possibility.
{\em Fuzzy Sets and Systems} 64 (1994) 229-240.
\item Yager, R.R. :
A Note on Probabilities of Fuzzy Events.
{\em Information Sciences} 18 (1979) 113-129.
\item Yager, R.R. :
Generalized Probabilities of Fuzzy Events from Fuzzy Belief Structures.
{\em Information Sciences} 28 (1982) 45-62.
\item Yager, R.R. :
Fuzzy Subsets with Uncertain Membership Grades.
{\em IEEE Transactions on Systems, Man and Cybernetics} 14 (1984)
271-275.
\item Zadeh, L.A. :
Probability Measures of Fuzzy Events.
{\em Journal of Mathematical Analysis and Applications} 23 (1968) 421-427.
\item Zadeh, L.A.:
From Imprecise to Granular Probabilities,
{\em Fuzzy Sets and Systems} 154 (2005) 370-374.
\item Zadeh, L.A.:
Toward a Generalized Theory of Uncertainty (GTU) — An Outline,
{\em Information Sciences} 172 (2005) 1-40.
\item Zwick, R. and Wallsten, T.S. :
Combining Stochastic Uncertainty and Linguistic Inexactness :
Theory and Experimental Evaluation of Four Fuzzy Probability Models.
{\em Internaional Journal of Man-Machine Studies} 30 (1989) 69-111.
\begin{equation}{\label{b}}\tag{B}\mbox{}\end{equation}
Fuzzy Random Variables.
\item Alonso, M.C., Brezmes, T., Lubiano, M.A. and Bertoluzza, C.:
A Generalized Real-Valued Measure of the Inequality Associated with a Fuzzy
Random Variable,
{\em International Journal of Approximate Reasoning} 26 (2001) 47-66.
\item Ban, J. :
Randon-Nikodym Theorem and Conditional Expection of Fuzzy-valued Measures and
Variables.
{\em Fuzzy Sets and Systems} 34 (1990) 383-392.
\item Ban, J. :
Ergodic Theorems for Random Compact Sets and Fuzzy Variables in Banach Spaces.
{\em Fuzzy Sets and Systems} 44 (1991) 71-82.
\item Boswell, S.B. and Taylor, M.S.:
A Central Limit Theorem for Fuzzy Random Variable,
{\em Fuzzy Sets and Systems} 24 (1987) 331-344.
\item Colubi, A., L\'{o}pez-D\'{i}az, M., Dom\'{i}nguez-Menchero, S.
and Gil, M.A.:
A Generalized Strong Law of Large Numbers
{\em Probability Theory and Related Fields} 114 (1999) 401-417.
\item Colubi, A., Dom\'{i}nguez-Menchero, J.S., L\'{o}pez-D\'{i}az, M.
and Ralescu, D.A.:
A $D_{E}[0,1]$ Representation of Random Upper Semicontinuous Functions,
{\em Proceedings of the American Mathematical Society} 130 (2002) 3237-3242.
\item Couso, I. and S\'{a}nchez, L.:
Higher Order Models for Fuzzy Random Variables,
{\em Fuzzy Sets and Systems} 159 (2008) 237-258.
\item Feng, Y.:
Mean-Square Integral and Differential of Fuzzy Stochastic Processes,
{\em Fuzzy Sets and Systems} 102 (1999) 271-280.
\item Feng, Y.:
Convergence Theorems for Fuzzy Random Variables and Fuzzy Martingales,
{\em Fuzzy Sets and Systems} 103 (1999) 435-441.
\item Feng, Y.:
Gaussian Fuzzy Random Variables,
{\em Fuzzy Sets and Systems} 111 (2000) 325-330.
\item Feng, Y.:
Decomposition Theorems for Fuzzy Supermartingales and Submartingales,
{\em Fuzzy Sets and Systems} 116 (2000) 225-235.
\item Feng, Y.:
Sums of Independent Fuzzy Random Variables,
{\em Fuzzy Sets and Systems} 123 (2001) 11-18.
\item Feng, Y.:
An Approach to Generalize Laws of Large Numbers for Fuzzy Random Variables,
{\em Fuzzy Sets and Systems} 128 (2002) 237-245.
\item Feng, Y.:
On teh Convergence of Fuzzy Martingales,
{\em Fuzzy Sets and Systems} 130 (2002) 67-73.
\item Feng, Y.: (Fuzzy Random Variables)
Strong Law of Large Numbers for Stationary Sequences of Random Upper
Semicontinuous Functions,
{\em Stochastic Analysis and Applications} 22 (2004) 1067-1083.
\item Feng, Y., Hu, L. and Shu, H.:
The Variance and Covariance of Fuzzy Random Variables,
{\em Fuzzy Sets and Systems} 147 (2004) 405-415.
\item Feng, Y. and Zhu, X.:
Semi-Order Fuzzy Supermartingales and Submartingales with Continuous Time,
{\em Fuzzy Sets and Systems} 130 (2002) 75-86.
\item Fu, K.-A. and Zhang, L.-X.:
Strong Laws of Large Numbers for Arrays of Rowwise Independent Random Compact Sets and Fuzzy Random Sets,
{\em Fuzzy Sets and Systems} 159 (2008) 3360-3368.
\item Full\'{e}r, R. and Triesch, E. :
A Note on the Law of Large Numbers for Fuzzy Vaeiables.
{\em Fuzzy Sets and Systems} 55 (1993) 235-236.
\item Gil, M.A., L\'{o}pez-D\'{i}az, M. and L\'{o}pez-Garc\'{i}a, H.:
The Fuzzy Hyperbolic Inequality Index Associated with Fuzzy Random Variables,
{\em European Journal of Operational Research} 110 (1998) 377-391.
\item Gil, M.A., L\'{o}pez-D\'{i}az, M. and Ralescu, D.A.:
Overview on the Development of Fuzzy Random Variables,
{\em Fuzzy Sets and Systems} 157 (2006) 2546-2557.
\item Gong, Z. and Wang, L.:
The Numerical Calculus of Expectations of Fuzzy Random Variables,
{\em Fuzzy Sets and Systems} 158 (2007) 722-738.
\item Gonz\'{a}lez-Rodr\'{i}guez, G., Colubi, A. and Gil, M.A.:
A Fuzzy Representation of Random Variables: An Operational Tool in
Exploratory Analysis and Hypothesis Testing,
{\em Computational Statistics and Data Analysis} 51 (2006) 163-176.
\item Hong, D.H. and Kim, H.J. :
Marcinkiewicz-type Law of Large Numbers for Fuzzy Random Variables.
{\em Fuzzy Sets and Systems} 64 (1994) 387-393.
\item Hwang, C.-M.:
A Theorem of Renewal Process for Fuzzy Random Variables and Its Application,
{\em Fuzzy Sets and Systems} 116 (2000) 237-244.
\item Hwang, C.-M. and Yao, J.-S. :
Independent Fuzzy Random Variables and Their Application,
{\em Fuzzy Sets and Systems} 82 (1996) 335-350.
\item Inoue, H.:
A Strong Law of Large Numbers for Fuzzy Random Sets,
{\em Fuzzy Sets and Systems} 41 (1991) 285-291.
\item Inoue, H.:
Randomly Weighted Sums for Exchangeable Fuzzy Random Variables,
{\em Fuzzy Sets and Systems} 69 (1995) 347-354.
\item Jang, L.-C. and Kwon, J.-S.:
A Uniform Strong Law of Large Numbers for Partial Sum Processes of Fuzzy
Random Variables Indexed by Sets,
{\em Fuzzy Sets and Systems} 99 (1998) 97-103.
\item Joo, S.Y. and Kim, Y.K.:
Kolmogorov’s Strong Law of Large Numbers for Fuzzy Random Variables,
{\em Fuzzy Sets and Systems} 120 (2001) 499-503.
\item Joo, S.Y., Kim, Y.K., Kwon, J.S. and Choi, G.S.:
Convergence in Distribution for Level-Continuous Fuzzy Random Sets,
{\em Fuzzy Sets and Systems} 157 (2006) 243-255.
\item Kim, Y.K.:
A Strong Law of Large Numbers for Fuzzy Random Variables,
{\em Fuzzy Sets and Systems} 111 (2000) 319-323.
\item Klement, E.P., Puri, M.L. and Ralescu, D.A. :
Limit Theorems for Fuzzy Random Variables.
{\em Proc. Roy. Soc. Lond.} A407 (1986) 171-182.
\item K\”{o}rner, R.:
On the Variance of Fuzzy Random Variables,
{\em Fuzzy Sets and Systems} 92 (1997) 83-93.
\item K\”{o}rner, R.: (Fuzzy Random Variables)
An Asymptotic $\alpha$-Test for the Expectation of Random Fuzzy Variables,
{\em Journal of Statistical Planning and Inference} 83 (2000) 331-346.
\item Kr\”{a}tschmer, V.:
Constraints on Belief Functions Imposed by Fuzzy Random Variables: Some
Technical Remarks on R\”{o}mer-Kandel,
{\em IEEE Trans. on Systems, Man and Cybernetics} 28 (1998) 881-883.
\item Kr\”{a}tschmer, V.:
A Unified Approach to Fuzzy Random Variables,
{\em Fuzzy Sets and Systems} 123 (2001) 1-9.
\item Kr\”{a}tschmer, V.:
Limit Theorems for Fuzzy Random Variables,
{\em Fuzzy Sets and Systems} 126 (2002) 253-263.
\item Kr\”{a}tschmer, V. and Oberlinger, J.:
Few Remarks Concerning a Concept to Define Normally Distributed
Random Fuzzy Sets, in M. Lopez-Diaz et al.: Soft Methodology and Random
Information Systems, Springer, Berlin, 2004, pp.212-218.
\item Kruse, R. :
The Strong Law of Large Numbers for Fuzzy Random Variables.
{\em Information Sciences} 28 (1982) 233-241.
\item Kwakernaak, H. :
Fuzzy Random Variables I : Definitions and Theorems.
{\em Information Sciences} 15 (1978) 1-29.
\item Kwakernaak, H. :
Fuzzy Random Variables II : Algorithms and Examples for the Discrete Case.
{\em Information Sciences} 17 (1979) 253-278.
\item Li, L. :
Random Fuzzy Sets and Fuzzy Martingales,
{\em Fuzzy Sets and Systems} 69 (1995) 181-192.
\item Li, Q.-D. :
The Random Set and the Cutting of Random Fuzzy Sets,
{\em Fuzzy Sets and Systems} 86 (1997) 223-234.
\item Li, S. and Ogura, Y.:
Fuzzy Random Variables, Conditional Expectations and Fuzzy Valued Martingales,
{\em Journal of Fuzzy Mathematics} 4 (1996) 905-927.
\item Li, S. and Ogura, Y.:
Convergence of Set Valued Sub- and Supermartingales in the
Kuratowski-Mosco Sense,
{\em The Annals of Probabilit Theory} 26 (1998) 1384-1402.
\item Li, S. and Ogura, Y.:
Convergence of Set-Valued and Fuzzy-Valued Martingales,
{\em Fuzzy Sets and Systems} 101 (1999) 453-461.
\item Li, S. and Ogura, Y.:
A Convergence Theorem of Fuzzy-Valued Martingales in the Extended
Hausdorff Metric $H_{\infty}$,
{\em Fuzzy Sets and Systems} 135 (2003) 391-399.
\item Li, S. and Ogura, Y.:
Strong Laws of Large Numbers for Independent Fuzzy Set-Valued
Random Variables,
{\em Fuzzy Sets and Systems} 157 (2006) 2569-2578.
\item Li, S., Ogura, Y. and Nguyen, H.T.,
Gaussian Processes and Martingales for Fuzzy Valued Random Variables
with Continuous Parameter,
{\em Information Sciences} 133 (2001) 7-21.
\item Li, S., Ogura, Y., Proske, N. and Puri, M.L.:
Central Limit Theorems for Generalized Set-Valued Random Variables,
{\em Journal of Mathematical Analysis and Applications} 285 (2003) 250-263.
\item Liu, P.:
Fuzzy-Valued Markov Processes and Their Properties,
{\em Fuzzy Sets and Systems} 91 (1997) 45-52.
\item Liu, Y.-K. and Liu, B.:
Fuzzy Random Variables: A Scalar Expected Value Operator,
{\em Fuzzy Optimization and Decision Making} 2 (2003) 143-160.
\item L\'{o}pez-D\'{i}az, M. and Gil, M.A.:
Constructive Definitions of Fuzzy Random Variables,
{\em Statistics and Probability Letters} 36 (1997) 135-143.
\item L\'{o}pez-D\'{i}az, M. and Gil, M.A.:
Approximating Integrably Bounded Fuzzy Random Variables in Terms of the
“Generalized” Hausdorff Metric,
{\em Information Sciences} 104 (1998) 279-291.
\item L\'{o}pez-D\'{i}az, M. and Gil, M.A.:
The $\lambda$-Average Value and the Fuzzy Expectation of A Fuzzy Random
Variable,
{\em Fuzzy Sets and Systems} 99 (1998) 347-352.
\item L\'{o}pez-D\'{i}az, M. and Gil, M.A.:
Reversing the Order of Integration in Iterated Expectations of Fuzzy Random
Variables, and Statistical Applications,
{\em Journal of Statistical Plannin and Inference} 74 (1998) 11-29.
\item L\'{o}pez-D\'{i}az, M. and Gil, M.A.:
An Extension of Fubini’s Theorem for Fuzzy Random Variables,
{\em Information Sciences} 115 (1999) 29-41.
\item Lubiano, M.A., Gil, M.A., L\'{o}pez-D\'{i}az, M. and L\'{o}pez, M.T.:
The $\lambda$-mean Squared Dispersion Associated with a Fuzzy Random
Variable,
{\em Fuzzy Sets and Systems} 111 (2000) 307-317.
\item L\'{o}pez-D\'{i}az, M. and Ralescu, D.A.: (Fuzzy Random Variables)
Tools for Fuzzy Random Variables: Embeddings and Measurabilities,
{\em Computational Statistics and Data Analysis} 51 (2006) 109-114.
\item Miyakoshi, M. and Shimbo, M. :
A Strong Law of Large Numbers for Fuzzy Random Variables.
{\em Fuzzy Sets and Systems} 12 (1984) 133-142.
\item Montenegro, M., Casals, M.R., Lubiano, M.A. and Gil, M.A.:
Two-Sample Hypothesis Tests of Means of a Fuzzy Random Variable,
{\em Information Sciences} 133 (2001) 89-100.
\item N\”{a}ther, W.:
Random Fuzzy Variables of Second Order and Applications to Statistical
Inference,
{\em Information Sciences} 133 (2001) 69-88.
\item Piasecki, K. :
On Fuzzily Measurable Random Variables,
{\em Fuzzy Sets and Systems} 29 (1989) 67-87.
\item Proske, F.N. and Puri, M.L.:
Central Limit Theorem for Banach Space Valued Fuzzy Random Variables,
{\em Proceedings of the American Mathematical Society} 130 (2001) 1493-1501.
\item Proske, F.N. and Puri, M.L.:
Strong Law of Large Numbers for Banach Space Valued Fuzzy Random Variables,
{\em Journal of Theoretical Probability} 15 (2002) 543-551.
\item Proske, F.N. and Puri, M.L.:
A Strong Law of Large Numbers for Generalized Random Sets from the Viewpoint
of Empirical Processes,
{\em Proceedings of the American Mathematical Society} 131 (2003) 2937-2944.
\item Puri, L. and Ralescu, D.A. :
The Concept of Normality for Fuzzy Random Variables.
{\em The Annals of Probability} 13 (1985) 1373-1379.
\item Puri, M.L. and Ralescu, D.A. :
Fuzzy Random Variables.
{\em Journal of Mathematical Analysis and Applications} 114 (1986)
409-422.
\item Puri, M.L. and Ralescu, D.A. :
Fuzzy Martingales,
{\em Journal of Mathematical Analysis and Applications} (1992)
\item Stein, W.E. and Talati, K. :
Convex Fuzzy Random Variables,
{\em Fuzzy Sets and Systems} 6 (1981) 271-283.
\item Stojakovi\'{c}, M. :
Fuzzy Conditional Expectation.
{\em Fuzzy Sets and Systems} 52 (1992) 53-60.
\item Stojakovi\'{c}, M. :
Fuzzy Random Vatiables, Expectation, and Martingales,
{\em J. Math. Anal Appl} 184 (1994) 594-606.
\item Stojakovi\'{c}, M.:
Fuzzy Martingales: A Simle Form of Fuzzy Processes,
{\em Stochastic Analysis and Applications} 14 (1996) 355-367.
\item Taylor, R.L., Seymour, L. and Chen, Y.:
Weak Laws of Large Numbers for Fuzzy Random Sets,
{\em Nonlinear Analysis} 47 (2001) 1245-1256.
\item Ter\'{a}n, P.:
Cones and Decomposition of Sub- and Supermartingales,
{\em Fuzzy Sets and Systems} 147 (2004) 465-474.
\item Ter\'{a}n, P.:
A Large Deviation Principle for Random Upper Semicontinuous Functions,
{\em Proc. Amer. Math. Soc.} 134 (2005) 571-580.
\item Ter\'{a}n, P.:
On Borel Measurability and Large Deviations for Fuzzy Random Variables,
{\em Fuzzy Sets and Systems} 157 (2006) 2558-2568.
\item Ter\'{a}n, P.:
Strong Law of Large Numbers for $t$-normed Arithmetics,
{\em Fuzzy Sets and Systems} 159 (2008) 343-360.
\item Ter\'{a}n, P. and L\'{o}pez-D\'{i}az, M.:
On Bernstein Approximants and the $\phi$-Variation of a Fuzzy Random Variable,
{\em Information Sciences} 133 (2001) 39-67.
\item Wang, G.-Y. and Zhang, Y. :
The Theory of Fuzzy Stochastic Processes.
{\em Fuzzy Sets and Systems} 51 (1992) 161-178.
\item Wang, G.-Y. and Zhong, Q. :
Convergence of Sequences of Fuzzy Random Variables and Its Application.
{\em Fuzzy Sets and Systems} 63 (1994) 187-199.
\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 Xue, X.-P., Ha, M.-H. and Ma, M. :
Random Fuzzy Number Integrals in Banach Spaces.
{\em Fuzzy Sets and Systems} 66 (1994) 97-111.
\item Zhang, D., Ouyang, H., Lee, E.S. and Yager, R.R. :
On Fuzzy Random Sets and Their Mathematical Expectations.
{\em Information Sciences} 72 (1993) 123-142.
\begin{equation}{\label{c}}\tag{C}\mbox{}\end{equation}
Fuzzy Stochastic Processes.
\item Avrachenkov, K.E. and Sanchez, E.:
Fuzzy Markov Chains and Decision-Making,
{\em Fuzzy Optimization and Decision Making} 1 (2002) 143-159.
\item Fei, W.:
On the Theory of (Dual) Projection for Fuzzy Stochastic Processes,
{\em Stochastic Analysis and Applications} 23 (2005) 449-474.
\item Hwang, C.-M.:
A Theorem of Renewal Process for Fuzzy Random Variables and Its Application,
{\em Fuzzy Sets and Systems} 116 (2000) 237-244.
\item Kim, J.H.:
On Fuzzy Stochastic Differential Equations,
{\em Journal of Korean Mathematical Society} 42 (2005) 153-169.
\item Zhao, R. and Liu, B.:
Renewal Process with Fuzzy Interarrival Times and Rewards,
{\em International Journal of Uncertaint, Fuzziness and Knowledge-Based
Systems} 11 (2003) 573-586.
\item Zhao, R., Tang, W. and Yun, H.:
Random Fuzzy Renewal Process,
{\em European Journal of Operational Research} 169 (2006) 189-201.
\begin{equation}{\label{d}}\tag{D}\mbox{}\end{equation}
Fuzzy Regression Analysis.
\item Alex, R.:
Fuzzy Normal Regression Model and Related Neural Networks,
{\em Soft Computing} 8 (2004) 717-721.
\item Aliev, R.A., Fazlollahi, B. and Vahidov, R.M.:
Genetic Algorithms-Based Fuzzy Regression Analysis,
{\em Soft Computing} 6 (2002) 470-475.
\item Bardossy, A. :
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{\em Fuzzy Sets and Systems} 80 (1996) 205-215.
\begin{equation}{\label{f}}\tag{F}\mbox{}\end{equation}
Fuzzy Time Series.
\item Chang, P.-T. :
Fuzzy Seasonality Forecasting,
{\em Fuzzy Sets and Systems} 90 (1997) 1-10.
\item Chen, S.-M. :
Forecasting Enrollments Based on Fuzzy Time Series,
{\em Fuzzy Sets and Systems} 81 (1996) 311-319.
\item Hong, D.H.:
A Note on Fuzzy Time Series Model,
{\em Fuzzy Sets and Systems} 155 (2005) 309-316.
\item Hwang, J.-R., Chen, S.-M. and Lee, C.-H.:
Handling Forecasting Problems Using Fuzzy Time Series,
{\em Fuzzy Sets and Systems} 100 (1998) 217-228.
\item Karnik, N.N. and Mendel, J.M.:
Applications of Type-2 Fuzzy Logic Systems to Forecasting fo Time-Series,
{\em Information Sciences} 120 (1999) 89-111.
\item Prybutok, V.R., Yi, J. and Mitchell, D.:
Comparison of Neural Network Models with ARIMA and Regression Models for
Prediction of Houston’s Daily Maximum Ozone Concentrations,
{\em European Journal of Operational Research} 122 (2000) 31-40.
\item Song, Q. and Chissom, B.S. :
Forecasting Enrollments with Fuzzy Time Series – Part I,
{\em Fuzzy Sets and Systems} 54 (1993) 1-9.
\item Song, Q. and Chissom, B.S. :
Fuzzy Time Series and Its Models,
{\em Fuzzy Sets and Systems} 54 (1993) 269-277.
\item Song, Q. and Chissom, B.S. :
Forecasting Enrollments with Fuzzy Time Series – Part II,
{\em Fuzzy Sets and Systems} 62 (1994) 1-8.
\item Song, Q., Leland, R.P. and Chissom, B.S. :
A New Fuzzy Time-Series Model of Fuzzy Number Observations,
{\em Fuzzy Sets and Systems} 73 (1995) 341-348.
\item Song, Q., Leland, R.P. and Chissom, B.S. :
Fuzzy Stochastic Fuzzy Time Series and Its Models,
{\em Fuzzy Sets and Systems} 88 (1997) 333-341.
\item Sullivan, J. \& Woodall, W.H. :
A Comparison of Fuzzy Forecasting and Markov Modeling
{\em Fuzzy Sets and Systems} 64 (1994) 279-293.
\item Tseng, F.-M., Tzeng, G.-H., Yu, H.-C. and Yuan, B.J.C.:
Fuzzy ARIMA Model for forecasting the Foreign Exchange Market,
{\em Fuzzy Sets and Systems} 118 (2001) 9-19.
\item Valenzuela, O., Rojas, I., Pomares, H., Herrera, L.J.,
Guillen, A., Marquez, L. and Pasadas, M.:
Hybridization of Intelligent Techniques and ARIMA Models for
Time Series Prediction,
{\em Fuzzy Sets and Systems} 159 (2008) 821-845.
\begin{equation}{\label{g}}\tag{G}\mbox{}\end{equation}
Fuzzy Inventory Models.
\item Buckley, J.J., Feuring, T. and Hayashi, Y.:
Solving Fuzzy Problems in Operations Research: Inventory Control,
{\em Soft Computing} 7 (2002) 121-129.
\item Chang, H.-C., Yao, J.-S. and Ouyang, L.-Y.:
Fuzzy Mixture Inventory Model Involving Fuzzy Random Variable Lead Time
Demand and Fuzzy Total Demand,
{\em European Journal of Operational Research} 169 (2006) 65-80.
\item Chen, S.-H. and Chang, S.-M.:
Optimization of Fuzzy Production Inventory Model with Unrepariable
Defective Products,
{\em International Journal of Production Economics} 113 (2008) 887-894.
\item Katagiri, H. and Ishii, H.:
Fuzzy Inventory Problems for Perishable Commodities,
{\em European Journal of Operational Research} 138 (2002) 545-553.
\item Li, L., Kabadi, S.N. and Nair, K.P.K.:
Fuzzy Models for Single-Period Inventory Problem,
{\em Fuzzy Sets and Systems} 132 (2002) 273-289.
\item Lin, D.-C. and Yao, J.-S.:
Fuzzy Economic Production for Producing Inventory,
{\em Fuzzy Sets and Systems} 111 (2000) 465-495.
\item Lin, Y.-J.:
A Periodic Review Inventory Model Involving Fuzzy Expected Demand
Short and Fuzzy Backorder Rate,
{\em Computers and Industrial Engineering} 54 (2008) 666-676.
\item Liu, B.:
Fuzzy Criterion Models for Inventory Systems with Partial Backorders,
{\em Annals of Operations Research} 87 (1999) 117-126.
\item Maiti, M.K.:
Fuzzy Inventory Model with Two Warehouses under Possibility Measure on
Fuzzy Goal,
{\em European Journal of Operational Research} 188 (2008) 746-774.
\item Maiti, M.K and Maiti, M.:
Fuzzy Inventory Model with Two Warehouses under Possibility Constraints,
{\em Fuzzy Sets and Systems} 157 (2006) 52-73.
\item Maiti, M.K and Maiti, M.:
Two-Storage Inventory Model with Lot-Size Dependent Fuzzy Lead-Time Under
Possibility Constraints via Genetic Algorithm,
{\em European Journal of Operational Research} 179 (2007) 352-371.
\item Mandal, N.K. and Roy, T.K.:
A Displayed Inventory Model with L-R Fuzzy Number,
{\em Fuzzy Optimization and Decision Making} 5 (2006) 227-243.
\item Ouyang, L.-Y., Wu, K.-S. and Ho, C.-H.:
Analysis of Optimal Vendor-Buyer Integrated Inventory Policy
Involving Defective Items,
{\em International Journal of Advanced Manufacturing Technology} 29 (2006) 1232-1245.
\item Panda, D., Kar, S., Maity, K. and Maiti, M.:
A Single Period Inventory Model with Imperfect Production and
Stochastic Demand under Chance and Imprecise Constraints,
{\em European Journal of Operational Research} 188 (2008) 121-139.
\item Rong, M., Mahapatra, N.K. and Maiti, M.:
A Two Warehouse Inventory Model for a Deteriorating Item with
Partially/Fully Backlogged Shortage and Fuzzy Lead Time,
{\em European Journal of Operational Research} 189 (2008) 59-75.
\item T\”{u}t\”{u}nc\”{u}, G.Y., Ak\”{o}z, O., Apaydin, A. and Petrovic, D.:
Continuous Review Inventory Control in the Presence of Fuzzy Costs,
{\em International Journal of Production Economics} 113 (2008) 775-784.
\item Vijayan, T. and Kumaran, M.:
Inventory Models with a Mixture of Backorders and Lost Sales under
Fuzzy Cost,
{\em European Journal of Operational Research} 189 (2008) 105-119.
\item Wang, X., Tang, W. and Zhao, R.:
Random Fuzzy EOQ Model with Imperfect Quality Items,
{\em Fuzzy Optimization and Decision Making} ???
\item Yao, J.-S. and Chiang, J.:
Inventory without Backorder with Fuzzy Total Cost and Fuzzy Storing
Cost Defuzzified by Centroid and Singed Distance,
{\em European Journal of Operational Research} 148 (2003) 401-409.
\item Yao, J.-S. and Lee, H.-M.:
Fuzzy Inventory with Backorder for Fuzzy Order Quantity,
{\em Information Sciences} 93 (1996) 283-319.
\item Yao, J.-S. and Su, J.-S.:
Fuzzy Inventory with Backorder for Fuzzy Total Demand Based on
Interval-Valued Fuzzy Set,
{\em European Journal of Operational Research} 124 (2000) 390-408.
\begin{equation}{\label{h}}\tag{H}\mbox{}\end{equation}
Fuzzy Queues.
\item Buckley, J.J. :
Elementary Queueing Theory Based on Possibility Theory.
{\em Fuzzy Sets and Systems} 37 (1990) 43-52.
\item Buckley, J.J., Feuring, T. and Hayashi, Y.:
Fuzzy Queueing Theory Revisited,
{\em International Journal of Uncertainty, Fuziness and Knowledge-Based Systems} 9 (2001) 527-537.
\item Chen, S.-P.:
Parametric Nonlinear Programming for Analyzing Fuzzy Queues with finite Capacity,
{\em European Journal of Operational Research} 157 (2004) 429-438.
\item Chen, S.-P.:
A Mathematical Programming Approach to Fuzzy Queues with Batch Arrivals,
{\em Engineering Optimization} 36 (2004) 635-644.
\item Chen, S.-P.:
Parametric Nonlinear Programming Approach to Fuzzy Queues with Bulk Service,
{\em European Journal of Operational Research} 163 (2005) 434-444.
\item Chen, S.-P.:
A Mathematical Programming Approach to Fuzzy Tandem Queues,
{\em International Journal of Uncertainty, Fuzziness and Knowledge-Based
Systems} 13 (2005) 425-436.
\item Chen, S.-P.:
Solving Fuzzy Queueing Decision Problem via a Parametric Mixed Integer
Nonlinear Programming Method,
{\em European Journal of Operational Research} 177 (2007) 445-457.
\item Pardo, M.J. and de la Fuente, D.:
Optimal Selection of the Service Rate for a Finite Input
Source Fuzzy Queuing System,
{\em Fuzzy Sets and Systems} 159 (2008) 325-342.
\item Kao, C., Li, C.-C. and Chen, S.-P.:
Parametric Programming to the Analysis of Fuzzy Queues,
{\em Fuzzy Sets and Systems} 107 (1999) 93-100.
\item Li, R.J. and Lee, E.S. :
Analysis of Fuzzy Queues.
{\em Computers Mathematical Application} 17 (1989) 1143-1147.
\item Negi, D.S. and Lee, E.S. :
Analysis and Simulation of Fuzzy Queues.
{\em Fuzzy Sets and Systems} 46 (1992) 321-330.
\begin{equation}{\label{i}}\tag{I}\mbox{}\end{equation}
Fuzzy Simulation.
\item Azzaro, C., Floquet, P., Pibouleau, L. and Domenech, S.:
A Fuzzy Simulation Model for Production Control in a Semiconductor Wafer
Manufacturing,
{\em Proceedings of the Third IEEE Conferences on Control Applications},
1994, 537-538.
\item Bonarini, A. and Bontempi, G.:
A Qualitative Simulation Approach for Fuzzy Dynamical Models,
{\em ACM Trans. on Modeling and Computer Simulation} 4 (1994) 285-313.
\item Buckley, J.J. and Hayashi, Y.:
Fuzzy Simulation Based on Fuzzy Chaos,
{\em Second IEEE International Conference on Fuzzy Systems}, 1993, 1039-1043.
\item Chan, F.T.S., Kazerooni, A. and Abhary, K.:
A Fuzzy Approach to Operation Selection,
{\em Engineering Applications in Artificial Intelligence} 10 (1997) 345-356.
\item Fishwick, P.A. :
Fuzzy Simulation : Specifying and Identifying Qualitive Models
{\em Int. J. General Systems} 19 (1991) 295-316.
\item Fishwick, P.A.:
Fuzzy Set Methods for Qualitative and Natural Language Oriented Simulation,
{\em Proceedings of 1990 Winter Simulation Conference} 513-519.
\item Jain, L.C., Neil, W., Chimalkar, S. and Sato, M.:
Fuzzy Simulation for Small Business Management,
{\em IEEE International Conference on Systems, Man, and Cybernetics}, 1996,
527-531.
\item Kim, G. and Fishwick, P.A.:
A Validation Method Using Fuzzy Simulation in an Object Oriented Physical
Modeling Framework.
\item Kim, G. and Fishwick, P.A.:
A Method for Resolving the COnsistency Problem between Rule-Based and
Quantative Models Using Fuzzy Simulation.
\item Kim, G. and Fishwick, P.A.:
A Method for Resolving the Consistency Problem between Rule-Based and
Quantative Knowledge USinf Fuzzy Simulation.
\item Perrone, G. and La Diega, S.N.:
Fuzzy Methods for Analysing Fuzzy Production Environment,
{\em Robotics and Computer-Integrated Manufacturing} 14 (1998) 465-474.
\item Pugh, G.A.:
Fuzzy Allocation of Manufacturing Resources,
{\em Computers and Industrial Engineering} 33 (1997) 101-104.
\item Shen, Q. and Leitch, R.:
Fuzzy Qualitative Simulation,
{\em IEEE Trans. on Systems, Man, and Cybernetics} 23 (1993) 1038-1061.
