Fuzzy Mathematical Programming and Fuzzy Matrix Games / Edition 1

Fuzzy Mathematical Programming and Fuzzy Matrix Games / Edition 1

by C. R. Bector, Suresh Chandra
     
 

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ISBN-10: 3642062652

ISBN-13: 9783642062650

Pub. Date: 12/15/2010

Publisher: Springer Berlin Heidelberg

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

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:
9783642062650
Publisher:
Springer Berlin Heidelberg
Publication date:
12/15/2010
Series:
Studies in Fuzziness and Soft Computing Series , #169
Edition description:
Softcover reprint of hardcover 1st ed. 2005
Pages:
236
Product dimensions:
6.10(w) x 9.25(h) x 0.36(d)

Table of Contents

Crisp matrix and bi-matrix games: some basic results.- Fuzzy sets.- Fuzzy numbers and fuzzy arithmetic.- Linear and quadratic programming under fuzzy environment.- Duality in linear and quadratic programming under fuzzy environment.- Matrix games with fuzzy goals.- Matrix games with fuzzy pay-offs.- More on matrix games with fuzzy pay-offs.- Fuzzy Bi-Matrix Games.- Modality and other approaches for fuzzy linear programming.

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