Title :
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
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;
Conference_Titel :
Computational Sciences and Optimization, 2009. CSO 2009. International Joint Conference on
Conference_Location :
Sanya, Hainan
Print_ISBN :
978-0-7695-3605-7
DOI :
10.1109/CSO.2009.490
