Credibilistic Programming : An Introduction to Models and Applications

Online-Ressource (IX, 144 p. 33 illus., 1 illus. in color, digital)

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Credibilistic Programming; Preface; Acknowledgment; Contents; List of Frequently Used Symbols; Chapter 1: Credibility Theory; 1.1 Credibility Measure; 1.2 Credibility Space; 1.3 Fuzzy Variable; 1.4 Credibility Function; 1.5 Independence; 1.6 Identical Distribution; References; Chapter 2: Credibilistic Programming; 2.1 Mathematical Programming; 2.1.1 Single-Objective Programming; 2.1.2 Multi-Objective Programming; 2.2 Credibilistic Programming; 2.3 Genetic Algorithm; 2.3.1 Representation Structure; 2.3.2 Initialization; 2.3.3 Evaluation Function; 2.3.4 Selection Process

2.3.5 Crossover Operation2.3.6 Mutation Operation; 2.3.7 General Procedure; References; Chapter 3: Expected Value Model; 3.1 Expected Value; 3.2 Expected Value Model; 3.3 Fuzzy Simulation; 3.4 Applications; References; Chapter 4: Chance-Constrained Programming Model; 4.1 Optimistic Value; 4.2 Pessimistic Value; 4.3 Chance-Constrained Programming Model; 4.4 Fuzzy Simulation; 4.4.1 Optimistic Value Simulation; 4.4.2 Pessimistic Value Simulation; 4.5 Applications; References; Chapter 5: Entropy Optimization Model; 5.1 Entropy; 5.2 Maximum Entropy Principle; 5.3 Entropy Optimization Model

5.4 Fuzzy Simulation5.5 Applications; References; Chapter 6: Cross-Entropy Minimization Model; 6.1 Cross-Entropy; 6.2 Minimum Cross-Entropy Principle; 6.3 Cross-Entropy Minimization Model; 6.4 Fuzzy Simulation; 6.5 Applications; References; Chapter 7: Regret Minimization Model; 7.1 Distance; 7.2 Regret Minimization Model; 7.3 Fuzzy Simulation; 7.4 Applications; References; Index

10.1007/978-3-642-36376-4 [DOI]

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