模糊二人零和对策的纳什均衡求解
    点此下载全文
引用本文:安京京1,2,南江霞1,2,卜红1,2.模糊二人零和对策的纳什均衡求解[J].经济数学,2015,(3):36-40
摘要点击次数: 865
全文下载次数: 69
作者单位
安京京1,2,南江霞1,2,卜红1,2 (1.桂林电子科技大学 数学与计算科学学院2.广西高校数据分析与计算重点实验室广西 桂林541004) 
中文摘要:用三角模糊数刻画二人零和对策支付值的不确定性,提出了计算模糊二人零和对策纳什均衡解的多目标规划方法.给出了一种基于区间数比较的三角形模糊数排序方法,根据该方法将模糊二人零和对策转化为多目标线性规划.通过一个数值实例说明了该方法的有效性和实用性.
中文关键词:二人零和对策  三角形模糊数  区间数  多目标线性规划
 
The Solution of the Nash Equilibrium of Fuzzy Two-Person Zero-Sum Game
Abstract:The payoffs of two-person zero-sum game were presented as triangular fuzzy numbers. We presented a new methodology for solving two-person zero-sum games with payoffs of triangular fuzzy numbers. Based on the ranking of interval, we provided a new ranking method of triangular fuzzy number. Then the solution of the fuzzy two-person zero-sum games can be obtained through solving a pair of multiobjective linear programming models. The validity and applicability of the proposed methodology were illustrated with a numerical example.
keywords:two-person zero-sum game  Triangular fuzzy number  Interval  Multiobjective linear programming
查看全文   查看/发表评论   下载pdf阅读器