针对属性值为三角直觉模糊数且属性间存在关联的多属性决策问题, 定义了三角直觉模糊数的度以及相对核, 根据Choquet积分的性质和模糊测度定义了三角直觉模糊Choquet积分几何平均算子, 分析和证明其相关性质. 针对方案的评价信息为三角直觉模糊数的关联多属性决策问题, 利用三角直觉模糊Choquet积分几何平均算子集成得到方案的综合属性值, 接着提出了三角直觉模糊数下基于属性关联的多属性决策方法, 以一个实例分析证明了所提出方案的可行性和合理性.

In this paper, a method based on Choquet integral geometric averaging operator is proposed to solve the triangular intuitionistic fuzzy multiple attribute decision making problems, where attributes are interdependent. The degree and relative core of triangular intuitionistic fuzzy numbers are defined. According to the fuzzy measure and the properties of Choquet integral, the triangular intuitionistic fuzzy Choquet integral geometric averaging operator is defined, and some of its related properties are proved. Then the proposed method for multi-attribute decision making for triangular intuitionistic fuzzy environment considering the interaction phenomena among the decision attributes, the integration attribute value of alternative is integrated by the triangular intuitionistic fuzzy Choquet integral geometric averaging operator. And the multi-attribute decision making method in which interactive characteristic among attributes is presented. Finally, an illustrative example is used to illustrate the feasibility and reasonability of the proposed method.