A Study on Game Theory in Fuzzy Environment

Seikh, Mijanur Rahaman, Nayak, Prasun Kumar, Pal, Madhumanga

ISBN 10: 3659912697 / ISBN 13: 9783659912696

Editore: LAP LAMBERT Academic Publishing, 2016

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Codice articolo ERICA82936599126976

Dati bibliografici

• Titolo: A Study on Game Theory in Fuzzy Environment
• Editore: LAP LAMBERT Academic Publishing
• Data di pubblicazione: 2016
• Lingua: Inglese
• ISBN 10: 3659912697
• ISBN 13: 9783659912696
• Rilegatura: paperback
• Condizione: New
• Tipo di libro: book

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Riassunto

Fuzzy set theory has a wide range of applications in operations research, war science, medical diagnosis, etc. The present monograph deals with the validity of applications of fuzzy set theory in matrix and bi-matrix games. The solution methodology of two-person matrix games with elements of pay-off matrix represented by triangular fuzzy numbers (TFNs) has been studied. Intuitionistic fuzziness in matrix/bi-matrix games can appear in many ways but three cases seem to be very natural. First one is that the goal may be intuitionistic fuzzy (I-fuzzy), second, that the elements of the pay-off matrix are I-fuzzy numbers and lastly the goals as well as the elements of the pay-off matrix are I-fuzzy. In this monograph the solution procedure of all such types of games have been investigated. A solution procedure for the matrix games where the elements of pay-off matrix are expressed by interval numbers has been explored. A number of practical implications have been incorporated to illustrate the methodologies.