Fuzzy Mathematical Programming and Fuzzy Matrix Games / Edition 1

Fuzzy Mathematical Programming and Fuzzy Matrix Games / Edition 1

by C. R. Bector, Suresh Chandra
     
 

This book presents a systematic and focused study of the application of fuzzy sets to two basic areas of decision theory, namely Mathematical Programming and Matrix Game Theory. Apart from presenting most of the basic results available in the literature on these topics, the emphasis is on understanding their natural relationship in a fuzzy environment. The study of

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Overview

This book presents a systematic and focused study of the application of fuzzy sets to two basic areas of decision theory, namely Mathematical Programming and Matrix Game Theory. Apart from presenting most of the basic results available in the literature on these topics, the emphasis is on understanding their natural relationship in a fuzzy environment. The study of duality theory for fuzzy mathematical programming problems plays a key role in understanding this interrelationship. For this, a theoretical framework of duality in fuzzy mathematical programming and conceptualization of the solution of a fuzzy game is created on the lines of their crisp counterparts. Most of the theoretical results and associated algorithms are illustrated through small numerical examples from actual applications.

Product Details

ISBN-13:
9783540237297
Publisher:
Springer Berlin Heidelberg
Publication date:
03/14/2005
Series:
Studies in Fuzziness and Soft Computing Series, #169
Edition description:
2005
Pages:
236
Product dimensions:
9.21(w) x 6.14(h) x 0.69(d)

Table of Contents

Preliminaries.- Fuzzy Sets.- Fuzzy Numbers and Fuzzy Arithmetic.- Linear and Quadratic Programming under Fuzzy Environment.- Duality for Linear and Quadratic Programming under Fuzzy Environment.- Matrix Games with Fuzzy Goals.- Matrix Games with Fuzzy Pay-Offs.- Fuzzy Bimatrix Games.- Multiobjective Programming under Fuzzy Enviornment and Multiobjective Fuzzy Games.- Modality and Other Approaches for Fuzzy Linear Programming and Fuzzy Matrix Games.

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