ENGLISH

Fuzzy Mathematical Programming and Fuzzy Matrix Games

By Dr. C. R. Bector , Dr. Suresh Chandra (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2005
ISBN
978-3-540-23729-7, 978-3-540-32371-6
DOI
10.1007/3-540-32371-6
Language
english
Format
PDF
Filesize
2 MB (2430800 bytes)
Series
Studies in Fuzziness and Soft Computing 169
Edition
1
Pages
236\247
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Appl.Mathematics/Computational Methods of EngineerEconomicsSocial and Behav. Sciences; Artificial Intelligenc

Description

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.

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