Fuzzy Linear Programming Model to Solve Two-Person Zero-Sum Matrix Game with Fuzzy Payoffs

Author

Xu, Lin ; Wang, Xiaobin

Author_Institution

Finance Coll., Hebei Univ. of Econ. & Bus., Shijiazhuang, China

Volume

2

fYear

2009

fDate

24-26 April 2009

Firstpage

812

Lastpage

815

Abstract

The purpose of this paper is to introduce a two-person zero-sum matrix game in which the payoffs are characterized as fuzzy variables. Based on "a"-optimistic and "a" -pessimistic value of fuzzy variable, two new kinds of minimax equilibrium strategies are provided and two-person zero-sum matrix game which is equivalence to appropriate pair of fuzzy linear programming models is established. A particle swarm optimization algorithm based on fuzzy simulation is designed to seek the minimax equilibrium strategy. Finally, a numerical example is provided to illustrate the effectiveness of the algorithm.

Keywords

fuzzy set theory; game theory; linear programming; matrix algebra; minimax techniques; particle swarm optimisation; fuzzy linear programming model; fuzzy payoffs; fuzzy variables; minimax equilibrium strategies; particle swarm optimization algorithm; two-person zero-sum matrix game; Algorithm design and analysis; Computational modeling; Educational institutions; Environmental economics; Finance; Fuzzy set theory; Game theory; Linear programming; Minimax techniques; Particle swarm optimization;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational Sciences and Optimization, 2009. CSO 2009. International Joint Conference on

Conference_Location

Sanya, Hainan

Print_ISBN

978-0-7695-3605-7

Type

conf

DOI

10.1109/CSO.2009.490

Filename

5194069