Dynamical aspects in fuzzy decision making
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Bibliographic Information
Dynamical aspects in fuzzy decision making
（Studies in fuzziness and soft computing, v. 73）
Physica-Verlag, c2001
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Includes bibliographical references
Description and Table of Contents
Description
The concept of fuzziness, inspired by Zadeh (1965), brings us fruitful results when it is applied to problems in decision making. Recently, problems in fuzzy decision making are getting more complex, and one of the most complex fac tors is dynamics in systems. Dynamical approach to fuzzy decision making has been proposed by Bellman and Zadeh's celebrated paper "Decision-making in a fuzzy environment" (1970). The idea has developed into fuzzy mathemati cal programming and has been applied in many fields including management science, operations research, control theory, engineering, systems analysis, computer science, mathematical finance etc. Dynamic programming, advo cated in Bellmans book "Dynamic programming" (1957), is one of the most powerful tools to deal with dynamics in systems, and Bellman and Zadeh has proposed the optimality principle in fuzzy decision making by (1970) introducing fuzzy dynamic programming. Fuzzy dynamic programming and fuzzy mathematical programming has been making remakable progress after they were given life by Bellman and Zadeh's paper (1970). In this volume, various kinds of dynamics, not only time but also structure of systems, are considered. This volume contains ten reviewed papers, which deal with dynamics in theory and applications and whose topics are poten tially related to dynamics and are expected to develope dynamical study in near future. first, fuzzy dynamic programming is reviewed from a viewpoint of its origin and consider its developement in theory and applications.
Table of Contents
Fuzzy Dynamic Programming: Basic Issues and Problem Classes.- Fuzzy Dynamic Programming in the Stochastic Environment.- Management of Data Uncertainty in Dynamic Programming.- Discrete Multi-Level Programming in a Dynamic Environment.- Interactive Fuzzy Programming for Multi-Level Nonconvex Nonlinear Programming Problems Through Genetic Algorithms.- Two-Stage Linear Recourse Problems under Non-Probabilistic Uncertainty.- Fuzzy Portfolio Model for Decision Making in Investment.- Fuzzy Differentials and Deterministic Approaches to Fuzzy Optimization Problems.- Order Relations and a Monotone Convergence Theorem in the Class of Fuzzy Sets on ?n.- Advances in the Egalitarist Approach to Decision-Making in a Fuzzy Environment.
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