基于三角直觉模糊数Choquet积分算子的多属性决策方法

Abstract

Abstract: In this paper, the Hamming distance between the triangular intuitionistic fuzzy numbers is defined. The triangular intuitionistic fuzzy arithmetic aggregation operators are developed under the independence of attributes. Combining the fuzzy measure and Choquet integral, the triangular intuitionistic fuzzy Choquet integral aggregation operator is defined. Some desirable properties for this operator are investigated. What's more, for the interactive multiple attribute decision-making problem in which the evaluation information for the alternatives is expressed with the triangular intuitionistic fuzzy numbers, the overall attribute value of alternative is integrated by the triangular intuitionistic fuzzy Choquet integral aggregation operator. The multi-objective programming model is constructed and transformed into linear object programming to solve. The fuzzy measures of the attribute set are objectively derived. The corresponding decision making method is then proposed. The example analysis shows the effectiveness and reasonability of the method.

Key words: multi-attribute decision making, triangular intuitionistic fuzzy number, Choquet integral, interaction, aggregation operator

CLC Number:

C934

WAN Shu-ping, DONG Jiu-ying. Multi-attribute Decision Making based on Triangular Intuitionistic Fuzzy Number Choquet Integral Operator[J]. Chinese Journal of Management Science, 2014, 22(3): 121-129.

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Multi-attribute Decision Making based on Triangular Intuitionistic Fuzzy Number Choquet Integral Operator

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