Ebook: Dynamical Aspects in Fuzzy Decision Making
- Tags: Operation Research/Decision Theory, Artificial Intelligence (incl. Robotics)
- Series: Studies in Fuzziness and Soft Computing 73
- Year: 2001
- Publisher: Physica-Verlag Heidelberg
- Edition: 1
- Language: English
- pdf
The book focuses on the recent dynamical development in fuzzy decision making. Various kinds of dynamics regarding not only time but also structure of systems are discussed in theory and applications. First, fuzzy dynamic programming is reviewed from a viewpoint of its origin and we consider its development in theory and applications. Next, the structure of dynamics in systems is considered in relation to fuzzy mathematical programming. Furthermore, some topics potentially related to dynamics are presented: financial management, fuzzy differential for fuzzy optimization of continuous-time fuzzy systems, and fuzzy ordering in multi-objective fuzzy systems. Finally, a unified approach in fuzzy decision making is developed. Readers can learn various kinds of methods to solve dynamical problems in fuzzy decision making through these chapters.
The book focuses on the recent dynamical development in fuzzy decision making. Various kinds of dynamics regarding not only time but also structure of systems are discussed in theory and applications. First, fuzzy dynamic programming is reviewed from a viewpoint of its origin and we consider its development in theory and applications. Next, the structure of dynamics in systems is considered in relation to fuzzy mathematical programming. Furthermore, some topics potentially related to dynamics are presented: financial management, fuzzy differential for fuzzy optimization of continuous-time fuzzy systems, and fuzzy ordering in multi-objective fuzzy systems. Finally, a unified approach in fuzzy decision making is developed. Readers can learn various kinds of methods to solve dynamical problems in fuzzy decision making through these chapters.
The book focuses on the recent dynamical development in fuzzy decision making. Various kinds of dynamics regarding not only time but also structure of systems are discussed in theory and applications. First, fuzzy dynamic programming is reviewed from a viewpoint of its origin and we consider its development in theory and applications. Next, the structure of dynamics in systems is considered in relation to fuzzy mathematical programming. Furthermore, some topics potentially related to dynamics are presented: financial management, fuzzy differential for fuzzy optimization of continuous-time fuzzy systems, and fuzzy ordering in multi-objective fuzzy systems. Finally, a unified approach in fuzzy decision making is developed. Readers can learn various kinds of methods to solve dynamical problems in fuzzy decision making through these chapters.
Content:
Front Matter....Pages I-X
Fuzzy Dynamic Programming: Basic Issues and Problem Classes....Pages 1-25
Fuzzy Dynamic Programming in the Stochastic Environment....Pages 27-51
Management of Data Uncertainty in Dynamic Programming....Pages 53-78
Discrete Multi-Level Programming in a Dynamic Environment....Pages 79-98
Interactive Fuzzy Programming for Multi-Level Nonconvex Nonlinear Programming Problems Through Genetic Algorithms....Pages 99-116
Two-Stage Linear Recourse Problems under Non-Probabilistic Uncertainty....Pages 117-140
Fuzzy Portfolio Model for Decision Making in Investment....Pages 141-162
Fuzzy Differentials and Deterministic Approaches to Fuzzy Optimization Problems....Pages 163-185
Order Relations and a Monotone Convergence Theorem in the Class of Fuzzy Sets on ? n ....Pages 187-212
Advances in the Egalitarist Approach to Decision-Making in a Fuzzy Environment....Pages 213-240
The book focuses on the recent dynamical development in fuzzy decision making. Various kinds of dynamics regarding not only time but also structure of systems are discussed in theory and applications. First, fuzzy dynamic programming is reviewed from a viewpoint of its origin and we consider its development in theory and applications. Next, the structure of dynamics in systems is considered in relation to fuzzy mathematical programming. Furthermore, some topics potentially related to dynamics are presented: financial management, fuzzy differential for fuzzy optimization of continuous-time fuzzy systems, and fuzzy ordering in multi-objective fuzzy systems. Finally, a unified approach in fuzzy decision making is developed. Readers can learn various kinds of methods to solve dynamical problems in fuzzy decision making through these chapters.
Content:
Front Matter....Pages I-X
Fuzzy Dynamic Programming: Basic Issues and Problem Classes....Pages 1-25
Fuzzy Dynamic Programming in the Stochastic Environment....Pages 27-51
Management of Data Uncertainty in Dynamic Programming....Pages 53-78
Discrete Multi-Level Programming in a Dynamic Environment....Pages 79-98
Interactive Fuzzy Programming for Multi-Level Nonconvex Nonlinear Programming Problems Through Genetic Algorithms....Pages 99-116
Two-Stage Linear Recourse Problems under Non-Probabilistic Uncertainty....Pages 117-140
Fuzzy Portfolio Model for Decision Making in Investment....Pages 141-162
Fuzzy Differentials and Deterministic Approaches to Fuzzy Optimization Problems....Pages 163-185
Order Relations and a Monotone Convergence Theorem in the Class of Fuzzy Sets on ? n ....Pages 187-212
Advances in the Egalitarist Approach to Decision-Making in a Fuzzy Environment....Pages 213-240
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