A Study on Game Theory in Fuzzy Environment. This item is unavailable.A Study on Game Theory in Fuzzy Environment

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.

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.