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提出一种改进的逼近理想解排序(TOPSIS)方法,即直觉模糊λ-Shapley Choquet积分算子TOPSIS的多属性群决策方法.首先,定义了直觉模糊λ-Shapley Choquet积分算子Hamming距离,并运用模糊测度,Choquet积分,Shapley值定义了直觉模糊算术广义λ-Shapley Choquet积分算子和直觉模糊几何广义λ-Shapley Choquet积分算子,并分析其有关性质;然后利用直觉模糊决策矩阵Hamming距离和记分函数和精确函数确定专家模糊测度和属性模糊测度;进而给出直觉模糊环境下方案优选的算法;最后,通过算例进一步说明了该直觉模糊TOPSIS方法的有效性.
(TOPSIS), a multi-attribute group decision-making method based on intuitionistic fuzzy λ-Shapley-Choquet integral operator TOPSIS, is proposed.Firstly, the Hamming distance of the intuitionistic fuzzy λ-Shapley-Choquet integral operator is defined and used Fuzzy measure, Choquet integral and Shapley value, the intuitionistic fuzzy arithmetic generalized λ-Shapley-Choquet integral operator and intuitionistic fuzzy geometry generalized λ-Shapley Choquet integral operator are defined and their related properties are analyzed. Then, by using the intuitionistic fuzzy decision matrix Hamming distance and score Function and exact function to determine the expert fuzzy measure and the attribute fuzzy measure; then the algorithm of the scheme optimization in the intuitionistic fuzzy environment is given; Finally, the validity of the intuitionistic fuzzy TOPSIS method is further illustrated through an example.