Improved Genetic Algorithms to Fuzzy Bimatrix Game

Authors:
Ruijiang Wang;Jia Jiang;Xiaoxia Zhu
Affiliations:
College of Economics and Management, Hebei University of Science and Technology, Shijiazhuang, 050018, China;College of Economics and Management, Hebei University of Science and Technology, Shijiazhuang, 050018, China;College of Science, Hebei University of Science and Technology, Shijiazhuang, 050018, China
Venue:
ICIC '07 Proceedings of the 3rd International Conference on Intelligent Computing: Advanced Intelligent Computing Theories and Applications. With Aspects of Artificial Intelligence
Year:
2009

Citing 2
Cited 1

Fuzzy linear programming models to solve fuzzy matrix games

Fuzzy Sets and Systems
Equilibrium solutions in multiobjective bimatrix games with fuzzy payoffs and fuzzy goals

Fuzzy Sets and Systems - Fuzzy mathematical programming

Fuzzy multiobjective bimatrix games: introduction to the computational techniques

ISTASC'09 Proceedings of the 9th WSEAS International Conference on Systems Theory and Scientific Computation

Quantified Score

Hi-index	0.00

Visualization

Abstract

According to the features of fuzzy information, we put forward the concept of level effect function L(茂戮驴), established a very practical and workable measurement method IL--- which can quantify the location of fuzzy number intensively and globally, and set up the level of uncertainty for measurement IL--- under the level effect function L(茂戮驴). Thus we can improve the fuzzy bimatrix game. For this problem, after establishing the model involving fuzzy variable and fuzzy coefficient for each player, we introduced the theory of modern biological gene into equilibrium solution calculation of game, then designed the genetic algorithm model for solving Nash equilibrium solution of fuzzy bimatrix game and proved the validity of the algorithm by the examples of bimatrix game. It will lay a theoretical foundation for uncertain game under some consciousness and have strong maneuverability.