Random fuzzy programming with chance measures defined by fuzzy integrals.

DOI10.1016/S0895-7177(02)00180-2zbMath1052.90111MaRDI QIDQ1410125

Baoding Liu, Yian-Kui Liu

Publication date: 14 October 2003

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

zbMATH Keywords

Random fuzzy variableEquilibrium chance measureHybrid intelligent algorithmMean chance measureRandom fuzzy programming

Mathematics Subject Classification ID

Fuzzy and other nonstochastic uncertainty mathematical programming (90C70) Fuzzy measure theory (28E10) Axioms; other general questions in probability (60A05)

Related Items (10)

Two new models for portfolio selection with stochastic returns taking fuzzy information ⋮ Equilibrium reliability measure for structural design under twofold uncertainty ⋮ A new perspective for optimal portfolio selection with random fuzzy returns ⋮ Redundancy optimization problems with uncertainty of combining randomness and fuzziness ⋮ Random fuzzy shock models and bivariate random fuzzy exponential distribution ⋮ Reliability Analysis Based on Scalar Fuzzy Variables ⋮ Modeling portfolio optimization problem by probability-credibility equilibrium risk criterion ⋮ Modeling two-stage UHL problem with uncertain demands ⋮ Random Fuzzy Unrepairable Warm Standby Systems ⋮ Reliability analysis of random fuzzy unrepairable systems

Cites Work

• Unnamed Item
• Unnamed Item
• Fuzzy and stochastic programming
• Default reasoning and possibility theory
• An interpretation of fuzzy measures and the Choquet integral as an integral with respect to a fuzzy measure
• Fuzzy optimization: An appraisal
• Depedent-chance programming: A class of stochastic optimization
• Fuzzy random variables - I. Definitions and theorems
• A theory of fuzzy measures: Representations, the Choquet integral, and null sets
• Fuzzy sets as a basis for a theory of possibility
• Fuzzy measure of fuzzy events defined by fuzzy integrals
• Fuzzy multiple objective programming and compromise programming with Pareto optimum
• Fuzzy mathematical programming based on some new inequality relations
• On the problem of possibilistic optimization
• Possibility distributions of fuzzy decision variables obtained from possibilistic linear programming problems
• Minimax chance constrained programming models for fuzzy decision systems
• Fuzzy multiple level programming
• Random fuzzy dependent-chance programming and its hybrid intelligent algorithm
• Theory and practice of uncertain programming
• Non-monotonic fuzzy measures and the Choquet integral
• Linear programming with fuzzy coefficients in constraints
• A note on chance constrained programming with fuzzy coefficients
• Dependent-chance programming in fuzzy environments
• Possibilistic linear programming: A brief review of fuzzy mathematical programming and a comparison with stochastic programming in portfolio selection problem
• Expected Value Operator of Random Fuzzy Variable and Random Fuzzy Expected Value Models

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