Fuzzy Mathematical Programming and Fuzzy Matrix Games

AvC. R. Bector,Suresh Chandra

Inbunden, Engelska, 2005

Del 169 i serien Studies in Fuzziness and Soft Computing

1 698 kr

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Häftad

1 698 kr

Beskrivning

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.

Produktinformation

Utgivningsdatum:2005-01-19
Mått:155 x 235 x 20 mm
Vikt:545 g
Format:Inbunden
Språk:Engelska
Serie:Studies in Fuzziness and Soft Computing
Antal sidor:236
Upplaga:2005
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783540237297

Utforska kategorier

Matematikens grunder inom Naturvetenskap och teknik

Recensioner i media

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)

Innehållsförteckning

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.