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2009 International Joint Conference on Computational Sciences and Optimization
Fuzzy Linear Programming Model to Solve Two-Person Zero-Sum Matrix Game with Fuzzy Payoffs
Sanya, Hainan, China
April 24-April 26
ISBN: 978-0-7695-3605-7
ASCII Text
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Lin Xu, Xiaobin Wang, "Fuzzy Linear Programming Model to Solve Two-Person Zero-Sum Matrix Game with Fuzzy Payoffs," Computational Sciences and Optimization, International Joint Conference on, vol. 2, pp. 812-815, 2009 International Joint Conference on Computational Sciences and Optimization, 2009.
 
 
BibTex
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@article{ 10.1109/CSO.2009.490,
author = {Lin Xu and Xiaobin Wang},
title = {Fuzzy Linear Programming Model to Solve Two-Person Zero-Sum Matrix Game with Fuzzy Payoffs},
journal ={Computational Sciences and Optimization, International Joint Conference on},
volume = {2},
year = {2009},
isbn = {978-0-7695-3605-7},
pages = {812-815},
doi = {http://doi.ieeecomputersociety.org/10.1109/CSO.2009.490},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
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TY - CONF
JO - Computational Sciences and Optimization, International Joint Conference on
TI - Fuzzy Linear Programming Model to Solve Two-Person Zero-Sum Matrix Game with Fuzzy Payoffs
SN - 978-0-7695-3605-7
SP812
EP815
A1 - Lin Xu,
A1 - Xiaobin Wang,
PY - 2009
VL - 2
JA - Computational Sciences and Optimization, International Joint Conference on
ER -
 
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.
Citation:
Lin Xu, Xiaobin Wang, "Fuzzy Linear Programming Model to Solve Two-Person Zero-Sum Matrix Game with Fuzzy Payoffs," cso, vol. 2, pp.812-815, 2009 International Joint Conference on Computational Sciences and Optimization, 2009
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