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Fuzzy Stochastic Multiobjective Programming (International Series in Operations Research & Management Science, 159) - Softcover
Synopsis
Although studies on multiobjective mathematical programming under uncertainty have been accumulated and several books on multiobjective mathematical programming under uncertainty have been published (e.g., Stancu-Minasian (1984); Slowinski and Teghem (1990); Sakawa (1993); Lai and Hwang (1994); Sakawa (2000)), there seems to be no book which concerns both randomness of events related to environments and fuzziness of human judgments simultaneously in multiobjective decision making problems. In this book, the authors are concerned with introducing the latest advances in the field of multiobjective optimization under both fuzziness and randomness on the basis of the authors’ continuing research works. Special stress is placed on interactive decision making aspects of fuzzy stochastic multiobjective programming for human-centered systems under uncertainty in most realistic situations when dealing with both fuzziness and randomness. Organization of each chapter is briefly summarized as follows:
Chapter 2 is devoted to mathematical preliminaries, which will be used throughout the remainder
of the book. Starting with basic notions and methods of multiobjective programming, interactive
fuzzy multiobjective programming as well as fuzzy multiobjective programming is outlined.
In Chapter 3, by considering the imprecision of decision maker’s (DM’s) judgment for stochastic
objective functions and/or constraints in multiobjective problems, fuzzy multiobjective stochastic
programming is developed.
In Chapter 4, through the consideration of not only the randomness of parameters involved in
objective functions and/or constraints but also the experts’ ambiguous understanding of the realized values of the random parameters, multiobjective programming problems with fuzzy random variables are formulated.
In Chapter 5, for resolving conflict of decision making problems in hierarchical managerial or
public organizations where there exist two DMs who have different priorities in making decisions, two-level programming problems are discussed.
Finally, Chapter 6 outlines some future research directions.
"synopsis" may belong to another edition of this title.
From the Back Cover
Although studies on multiobjective mathematical programming under uncertainty have been accumulated and several books on multiobjective mathematical programming under uncertainty have been published (e.g., Stancu-Minasian (1984); Slowinski and Teghem (1990); Sakawa (1993); Lai and Hwang (1994); Sakawa (2000)), there seems to be no book which concerns both randomness of events related to environments and fuzziness of human judgments simultaneously in multiobjective decision making problems. In this book, the authors are concerned with introducing the latest advances in the field of multiobjective optimization under both fuzziness and randomness on the basis of the authors’ continuing research works. Special stress is placed on interactive decision making aspects of fuzzy stochastic multiobjective programming for human-centered systems under uncertainty in most realistic situations when dealing with both fuzziness and randomness. Organization of each chapter is briefly summarized as follows:
Chapter 2 is devoted to mathematical preliminaries, which will be used throughout the remainder
of the book. Starting with basic notions and methods of multiobjective programming, interactive
fuzzy multiobjective programming as well as fuzzy multiobjective programming is outlined.
In Chapter 3, by considering the imprecision of decision maker’s (DM’s) judgment for stochastic
objective functions and/or constraints in multiobjective problems, fuzzy multiobjective stochastic
programming is developed.
In Chapter 4, through the consideration of not only the randomness of parameters involved in
objective functions and/or constraints but also the experts’ ambiguous understanding of the realized values of the random parameters, multiobjective programming problems with fuzzy random variables are formulated.
In Chapter 5, for resolving conflict of decision making problems in hierarchical managerial or
public organizations where there exist two DMs who have different priorities in making decisions, two-level programming problems are discussed.
Finally, Chapter 6 outlines some future research directions.
"About this title" may belong to another edition of this title.
- PublisherSpringer
- Publication date2013
- ISBN 10 1461428068
- ISBN 13 9781461428060
- BindingPaperback
- LanguageEnglish
- Number of pages276
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Although studies on multiobjective mathematical programming under uncertainty have been accumulated and several books on multiobjective mathematical programming under uncertainty have been published (e.g., Stancu-Minasian (1984); Slowinski and Teghem (1990); Sakawa (1993); Lai and Hwang (1994); Sakawa (2000)), there seems to be no book which concerns both randomness of events related to environments and fuzziness of human judgments simultaneously in multiobjective decision making problems. In this book, the authors are concerned with introducing the latest advances in the field of multiobjective optimization under both fuzziness and randomness on the basis of the authors' continuing research works. Special stress is placed on interactive decision making aspects of fuzzy stochastic multiobjective programming for human-centered systems under uncertainty in most realistic situations when dealing with both fuzziness and randomness. Organization of each chapter is briefly summarized as follows:Chapter 2 is devoted to mathematical preliminaries, which will be used throughout the remainderof the book. Starting with basic notions and methods of multiobjective programming, interactivefuzzy multiobjective programming as well as fuzzy multiobjective programming is outlined.In Chapter 3, by considering the imprecision of decision maker's (DM's) judgment for stochasticobjective functions and/or constraints in multiobjective problems, fuzzy multiobjective stochasticprogramming is developed. In Chapter 4, through the consideration of not only the randomness of parameters involved inobjective functions and/or constraints but also the experts' ambiguous understanding of the realized values of the random parameters, multiobjective programming problems with fuzzy random variables are formulated. In Chapter 5, for resolving conflict of decision making problems in hierarchical managerial orpublic organizations where there exist two DMs who have different priorities in making decisions, two-level programming problems are discussed. Finally, Chapter 6 outlines some future research directions. 276 pp. Englisch. Seller Inventory # 9781461428060
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