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Studies in Fuzziness and Soft Computing

Fuzzy Mathematical Programming and Fuzzy Matrix Games

Authors: Bector, C. R., Chandra, Suresh

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  • ISBN 978-3-540-32371-6
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Softcover $159.99
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  • ISBN 978-3-642-06265-0
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About this book

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.

Reviews

From the reviews:

"The book presents a systematic theory … oriented primarily to senior undergraduate students, as well as to graduate students and researchers in the area of fuzzy optimization and related topics. Special attention is devoted to various approaches to fuzzy linear and quadratic programming … . Theoretical results and algorithms are illustrated through small numerical examples." (Karel Zimmermann, Zentralblatt MATH, Vol. 1078, 2006)

"Fuzzy Mathematical Programming and Fuzzy Matrix Games studies the extension of mathematical programming and matrix game theory to a fuzzy environment. … provides deep theoretical analyses that include theorems and proofs. … We recommend the book to researchers and postgraduates who have … an interest in mathematical programming, matrix games, and fuzzy sets." (Julius Zilinskas, Interfaces, Vol. 37 (4), 2007)


Table of contents (10 chapters)

  • Crisp matrix and bi-matrix games: some basic results

    Pages 1-20

  • Fuzzy sets

    Pages 21-38

  • Fuzzy numbers and fuzzy arithmetic

    Pages 39-56

  • Linear and quadratic programming under fuzzy environment

    Pages 57-94

  • Duality in linear and quadratic programming under fuzzy environment

    Pages 95-116

Buy this book

eBook $119.00
price for USA in USD (gross)
  • ISBN 978-3-540-32371-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $199.99
price for USA in USD
  • ISBN 978-3-540-23729-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $159.99
price for USA in USD
  • ISBN 978-3-642-06265-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Fuzzy Mathematical Programming and Fuzzy Matrix Games
Authors
Series Title
Studies in Fuzziness and Soft Computing
Series Volume
169
Copyright
2005
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-32371-6
DOI
10.1007/3-540-32371-6
Hardcover ISBN
978-3-540-23729-7
Softcover ISBN
978-3-642-06265-0
Series ISSN
1434-9922
Edition Number
1
Number of Pages
XII, 236
Topics