| 基于IITFN的模糊矩阵博弈最优策略研究 |
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| 引用本文： | 李霞,桑秀丽,董洋,韩继光.基于IITFN的模糊矩阵博弈最优策略研究[J].模糊系统与数学,2019(4):149-155. |
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| 作者姓名： | 李霞 桑秀丽 董洋 韩继光 |
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| 作者单位： | 昆明理工大学质量发展研究院;云南农业大学机电工程学院;昆明理工大学土木工程学院 |
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| 基金项目： | 十二五国家科技支撑计划06课题子课题(KKK0201158116) |
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| 摘 要： | 由于矩阵博弈支付函数具有模糊性,本文依据区间直觉梯形模糊数(IITFN)的基本理论,用区间直觉梯形模糊数来表示模糊矩阵博弈(FMG)支付函数;基于得分函数与精确函数提出了区间直觉梯形模糊矩阵博弈(IITFN-FMG)的策略最优解的求取方法.通过实例仿真,结果表明:以区间直觉梯形模糊数表示支付函数来分析最优策略如何选取,其效果更好,与实际情形的吻合程度亦更为理想.
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| 关 键 词： | 区间直觉梯形模糊数(IITFN) 模糊矩阵博弈(FMG) 最优策略 |
Research on Optimal Strategy of Fuzzy Matrix Game Based on IITFN |
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| LI Xia,SANG Xiu-li,DONG Yang,HAN Ji-guang.Research on Optimal Strategy of Fuzzy Matrix Game Based on IITFN[J].Fuzzy Systems and Mathematics,2019(4):149-155. |
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| Authors: | LI Xia SANG Xiu-li DONG Yang HAN Ji-guang |
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| Institution: | (School of Quality Development Research,Kunming University of Science and Technology,Kunming 650093,China;School of Mechanic and Electronic Engineering,Yunnan Agricultural University,Kunming 650201,China;Civil Engineering Institute,Kunming University of Science and Technology,Kunming 650093,China) |
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| Abstract: | Due to the fuzziness of the payment function of the matrix game,based on the basic theory of interval valued trapezoid fuzzy number(IITFN),the interval valued intuitionistic trapezoid fuzzy number is used to express the fuzzy matrix game(FMG)payment function.based on score function and exact function,a method of finding optimal solution for interval valued intuitionistic trapezoidal fuzzy matrix game(IITFN-FMG)is proposed.Through the example simulation.the results show that the interval intuitionistic trapezoid fuzzy number is used to express the payment function to analyze how to select the optimal strategy,the results are better,and the degree of agreement with the actual situation is more ideal. |
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| Keywords: | Interval Valued Intuitionistic Trapezoid Fuzzy Number(IITFN) Fuzzy Matrix Game(FMG) Optimal Policy |
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