Fuzzy Mathematical Programming: Methods and Applications

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In the last 25 years, fuzzy set theory has been applied in many disciplines such as operations research, management science, control theory and artificial intelligence/expert systems. In this volume, methods and applications of fuzzy mathematical programming are first systematically and thoroughly reviewed and classified. The survey provides readers with a capsule look into the existing methods, and their characteristics and applicability to the analysis of fuzzy and possibilistic programming problems. To realize practical fuzzy modelling, solutions for real-world problems are presented, including production/manufacturing, transportation, assignment, games, environmental management, resource allocation, project investment, banking/finance, and agricultural economics. To improve the flexibility and robustness of fuzzy mathematical programming techniques, the expert decision-making support system IFLP is presented, which considers and solves all possibilities of a specific domain of (fuzzy) linear programming problems. Basic fuzzy set theories, membership functions, fuzzy decisions, operators and fuzzy arithmetic are introduced with simple numerical examples. An updated bibliographical listing of 60 books and about 300 papers, reports and theses is given.