| 模糊二人零和对策的纳什均衡求解 |
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| 引用本文： | 安京京,南江霞,卜红.模糊二人零和对策的纳什均衡求解[J].湖南农业大学学报(自然科学版),2015(3):36-40. |
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| 作者姓名： | 安京京 南江霞 卜红 |
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| 作者单位： | （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） |
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| 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.
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| 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 |
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| AN Jing-jing,NAN Jiang- xi,BO Hong.The Solution of the Nash Equilibrium of Fuzzy Two-Person Zero-Sum Game[J].Journal of Hunan Agricultural University,2015(3):36-40. |
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| Authors: | AN Jing-jing NAN Jiang- xi BO Hong |
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| Institution: | (School of Mathematics and Computing Science, Guilin, Guangxi541004,China;Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guilin University of Electronic Technology, Guilin, Guangxi541004,China) |
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| 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. |
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| Keywords: | two-person zero-sum game Triangular fuzzy number Interval Multiobjective linear programming |
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