Fuzzy measure of fuzzy events defined by fuzzy integrals
Fuzzy Sets and Systems
Information Sciences: an International Journal
Linear programming with fuzzy random variable coefficients
Fuzzy Sets and Systems
Fuzziness and randomness in an optimization framework
Fuzzy Sets and Systems
On fuzzy stochastic optimization
Fuzzy Sets and Systems - Special issue on fuzzy optimization
Minimax chance constrained programming models for fuzzy decision systems
Information Sciences: an International Journal
On fuzzy-set interpretation of possibility theory
Fuzzy Sets and Systems
Dependent-chance programming in fuzzy environments
Fuzzy Sets and Systems
Fuzzy Sets and Systems - Fuzzy mathematical programming
On the formalization of fuzzy random variables
Information Sciences: an International Journal - Fuzzy random variables
Programming Microsoft Office 2000 Web Components with Cdrom
Programming Microsoft Office 2000 Web Components with Cdrom
Uncertain Programming
Fuzzy Sets and Systems: Theory and Applications
Fuzzy Sets and Systems: Theory and Applications
Fuzzy Measure Theory
Theory and Practice of Uncertain Programming
Theory and Practice of Uncertain Programming
Fuzzy Mathematical Programming: Methods and Applications
Fuzzy Mathematical Programming: Methods and Applications
Fuzzy random chance-constrained programming
IEEE Transactions on Fuzzy Systems
Fuzzy random dependent-chance programming
IEEE Transactions on Fuzzy Systems
Expected value of fuzzy variable and fuzzy expected value models
IEEE Transactions on Fuzzy Systems
Fuzzy random delayed renewal process and fuzzy random equilibrium renewal process
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Portfolio selection with fuzzy returns
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Information Sciences: an International Journal
Regression Model Based on Fuzzy Random Variables
KES '08 Proceedings of the 12th international conference on Knowledge-Based Intelligent Information and Engineering Systems, Part III
Particle Swarm Optimization for Two-Stage FLA Problem with Fuzzy Random Demands
ISNN '08 Proceedings of the 5th international symposium on Neural Networks: Advances in Neural Networks
Fuzzy random renewal process with queueing applications
Computers & Mathematics with Applications
Modelling redundancy allocation for a fuzzy random parallel-series system
Journal of Computational and Applied Mathematics
Fuzzy random renewal reward process and its applications
Information Sciences: an International Journal
A Fuzzy Random Variable Approach to Restructuring of Rough Sets through Statistical Test
RSFDGrC '09 Proceedings of the 12th International Conference on Rough Sets, Fuzzy Sets, Data Mining and Granular Computing
Recent Literature Collected by Didier DUBOIS, Henri PRADE and Salvatore SESSA
Fuzzy Sets and Systems
Modeling data envelopment analysis by chance method in hybrid uncertain environments
Mathematics and Computers in Simulation
T-norm-based limit theorems for fuzzy random variables
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Risk assessment of serious crime with fuzzy random theory
Information Sciences: an International Journal
Two-stage fuzzy stochastic programming with Value-at-Risk criteria
Applied Soft Computing
Solving fractional programming problem through fuzzy goal setting and approximation
Applied Soft Computing
Minimum risk criterion for uncertain production planning problems
Computers and Industrial Engineering
Convergence criteria and convergence relations for sequences of fuzzy random variables
FSKD'05 Proceedings of the Second international conference on Fuzzy Systems and Knowledge Discovery - Volume Part I
A theorem for fuzzy random alternating renewal processes
FSKD'05 Proceedings of the Second international conference on Fuzzy Systems and Knowledge Discovery - Volume Part I
A new Chance-Variance optimization criterion for portfolio selection in uncertain decision systems
Expert Systems with Applications: An International Journal
Information Sciences: an International Journal
A class of multiobjective linear programming model with fuzzy random coefficients
Mathematical and Computer Modelling: An International Journal
On chance maximization model in fuzzy random decision systems
Mathematical and Computer Modelling: An International Journal
The law of large numbers and renewal process for T-related weighted fuzzy numbers on Rp
Information Sciences: an International Journal
A novel job search problem in hybrid uncertain environment
Fuzzy Optimization and Decision Making
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In a decision-making process, we may face a hybrid environment where linguistic and frequent imprecision nature coexists. The problem of frequent imprecision can be solved by probability theory, while the problem of linguistic imprecision can be tackled by possibility theory. Therefore, to solve this hybrid decision-making problem, it is necessary to combine both theories effectively. In this paper, we restrict our attention to this hybrid decision-making problem, where the input data are imprecise and described by fuzzy random variables. Fuzzy random variable is a mapping from a probability space to a collection of fuzzy variables, it is an appropriate tool to deal with twofold uncertainty with fuzziness and randomness in an optimization framework. The purpose of this paper is to present reasonable chances of a fuzzy random event characterized by fuzzy random variables so that they can connect with the expected value operators of a fuzzy random variable via Choquet integrals, just like the relation between the probability of a random event and the mathematical expectation of a random variable, and that between the credibility of a fuzzy event and the expected value operator of a fuzzy variable. Toward that end, we take fuzzy measure and fuzzy integral theory as our research tool, and present three kinds of mean chances of a fuzzy random event via Choquet integrals. After discussing the duality of the mean chances, we use the mean chances to define the expected value operators of a fuzzy random variable via Choquet integrals. To show the reasonableness of the mean chance approach, we prove the expected value operators defined in this paper coincide with those presented in our previous work. Using the mean chances, we present a new class of fuzzy random minimum-risk problems, where the objective and the constraints are all defined by the mean chances. To solve general fuzzy random minimum-risk optimization problems, a hybrid intelligent algorithm, which integrates fuzzy random simulations, genetic algorithm and neural network, is designed, and its feasibility and effectiveness are illustrated by numerical examples.