期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2010
卷号：2010
DOI：10.1155/2010/404792
出版社：Hindawi Publishing Corporation
摘要：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.
