International Journal of Mathematics and Mathematical Sciences
Volume 2010 (2010), Article ID 404792, 22 pages
Research Article

A Class of Two-Person Zero-Sum Matrix Games with Rough Payoffs

Uncertainty Decision-Making Laboratory, Sichuan University, Chengdu 610064, China

Received 10 July 2009; Accepted 17 January 2010

Academic Editor: Attila Gilanyi

Copyright © 2010 Jiuping Xu and Liming Yao. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We concentrate on discussing a class of two-person zero-sum games with rough payoffs. Based on the expected value operator and the trust measure of rough variables, the expected equilibrium strategy and r-trust maximin equilibrium strategy are defined. Five cases whether the game exists r-trust maximin equilibrium strategy are discussed, and the technique of genetic algorithm is applied to find the equilibrium strategies. Finally, a numerical example is provided to illustrate the practicality and effectiveness of the proposed technique.