A Study on Game Theory in Fuzzy Environment

Mijanur Rahaman Seikh

ISBN 10: 3659912697 / ISBN 13: 9783659912696

Published by LAP LAMBERT Academic Publishing Jun 2016, 2016

About this Item

Neuware -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.Books on Demand GmbH, Überseering 33, 22297 Hamburg 164 pp. Englisch.

Seller Inventory # 9783659912696

Bibliographic Details

• Title: A Study on Game Theory in Fuzzy Environment
• Publisher: LAP LAMBERT Academic Publishing Jun 2016
• Publication Date: 2016
• Language: English
• ISBN 10: 3659912697
• ISBN 13: 9783659912696
• Binding: Taschenbuch
• Condition: Neu

About this title

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.

About the Author

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.