Credibilistic programming : an introduction to models and applications

It provides fuzzy programming approach to solve real-life decision problems in fuzzy environment. Within the framework of credibility theory, it provides a self-contained, comprehensive and up-to-date presentation of fuzzy programming models, algorithms and applications in portfolio analysis.

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Hlavní autor: Li, Xiang
Médium: E-kniha Kniha Publikace
Jazyk:angličtina
Vydáno: Berlin, Heidelberg Springer 2013
Springer Berlin / Heidelberg
Springer Berlin Heidelberg
Vydání:1
Edice:Uncertainty and Operations Research
Témata:
ISBN:364236375X, 9783642363757, 9783642427176, 3642427170, 3642363768, 9783642363764
ISSN:2195-996X, 2195-9978
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Obsah:
  • Intro -- 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 Operation -- 2.3.6 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 Simulation -- 5.5 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