Integration of bimatrix games with fuzzy strategy sets and fuzzy payoffs

Authors:
Qu Yong;Song Yexin;Zhang Jianjun
Affiliations:
College of Science, Naval University of Engineering, Wuhan, Hubei, China;College of Science, Naval University of Engineering, Wuhan, Hubei, China;College of Science, Naval University of Engineering, Wuhan, Hubei, China
Venue:
FSKD'09 Proceedings of the 6th international conference on Fuzzy systems and knowledge discovery - Volume 4
Year:
2009

Citing 2
Cited 0

Equilibrium solutions in multiobjective bimatrix games with fuzzy payoffs and fuzzy goals

Fuzzy Sets and Systems - Fuzzy mathematical programming
Bi-matrix Games with Fuzzy Goals and Fuzzy

Fuzzy Optimization and Decision Making

Quantified Score

Hi-index	0.00

Visualization

Abstract

Aiming at the uncertain multi-conflict situations, the aggregation model of bimatrix games with fuzzy strategy sets and fuzzy payoffs is established in this paper. Based on the constraints, the feasible strategy string sets of the players for multi-conflict situations are constructed, and a new synthetic outcome space is established Using the operations of triangular fuzzy numbers, the fuzzy payoffs for all synthetic outcomes are calculated. Then, the fuzzy synthetic aggregation model is established and solved by transforming it into a crisp bimatrix game. Finally, a military example is provided to illustrate the practicality and effectivity of the model.