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基于IITFN的模糊矩阵博弈最优策略研究

Research on Optimal Strategy of Fuzzy Matrix Game Based on IITFN

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【作者】 李霞桑秀丽董洋韩继光

【Author】 LI Xia;SANG Xiu-li;DONG Yang;HAN Ji-guang;School of Quality Development Research,Kunming University of Science and Technology;School of Mechanic and Electronic Engineering,Yunnan Agricultural University;Civil Engineering Institute,Kunming University of Science and Technology;

【机构】 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

【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。

【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.

【基金】 十二五国家科技支撑计划06课题子课题(KKK0201158116)
  • 【文献出处】 模糊系统与数学 ,Fuzzy Systems and Mathematics , 编辑部邮箱 ,2019年04期
  • 【分类号】O159;O225
  • 【下载频次】86
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