A Study on Game Theory in Fuzzy Environment - Couverture souple

Seikh, Mijanur Rahaman; Nayak, Prasun Kumar; Pal, Madhumangal

 
9783659912696: A Study on Game Theory in Fuzzy Environment
Couverture souple
ISBN 10 : 3659912697 ISBN 13 : 9783659912696
Editeur : LAP LAMBERT Academic Publishing, 2016

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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.

Biographie de l'auteur

Dr. Mijanur Rahaman Seikh is an Assistant Professor in the Department of Mathematics, Kazi Nazrul University, Asansol, India. He received his Ph.D. degree from Vidyasagar University, India and Master of Science degree in Mathematics from Jadavpur University, West Bengal, India. His research interest includes Optimization in Fuzzy Environment.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2016
Langue
anglais
ISBN 10 
3659912697
ISBN 13 
9783659912696
Reliure
Broché
Nombre de pages
164
Coordonnées du fabricant
non disponible
Personne responsable
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