| 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 |
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| 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 |
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| The Solution of the Nash Equilibrium of Fuzzy Two-Person Zero-Sum Game |
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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. |
| keywords:two-person zero-sum game Triangular fuzzy number Interval Multiobjective linear programming |
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