两人零和模糊博弈的可能规划模型

Possibilistic Programming Models of Fuzzy Two-Zero Sum Games

  • 摘要: 研究模糊博弈环境下如何确定两人零和模糊博弈的均衡策略问题.引入模糊测度刻画博弈局中人的偏好,提出了4种模糊偏好类型,给出其相应的模糊可能规划模型,并以此为工具,得到了一种确定两人有限零和模糊博弈均衡策略的新方法.实例验证了该方法确定的均衡策略就是具有博弈偏好的现实均衡策略.

     

    Abstract: Under fuzzy game environment,the problem of how to ascertain equilibrium strategies in fuzzy two-person zero-sum games was considered.Fuzzy measures were introduced to describe player's preferences.Four fuzzy preference types were put forward,and its fuzzy possibilistic programming models were also given.Based on this,a new approach to solve the equilibrium strategies was gained.The equilibrium strategies obtained by this means are the realized equilibrium strategies with fuzzy preference.

     

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