三角直觉模糊决策的变权方法

研究了属性值为三角直觉模糊数的多属性决策问题,提出了一种基于变权综合的决策方法。首先,针对三角直觉模糊数,提出一种新的三角直觉模糊排序方法;其次,定义了三角直觉模糊变权加权算术平均算子和三角直觉模糊变权加权几何平均算子;然后,提出一种基于三角直觉模糊变权集成算子的多属性决策方法;最后,数值算例说明了该方法的有效性。

Variable-weight Based Method for Intuitionistic Triangular Fuzzy Decision Making

For multi-attribute decision making problems where the attribute values are intuitionistic triangular fuzzy numbers, a new decision making method is developed on the basis of variable-weight vector. Firstly, the concept of triangular intuitionistic fuzzy numbers is introduced, and a new ranking method of triangular intuitionistic fuzzy numbers is presented. Secondly, the triangular intuitionistic fuzzy variable-weight weighted averaging operator and triangular intuitionistic fuzzy variable-weight weighted geometric averaging operator are proposed. Then, a method for multiple attribute decision making based on triangular intuitionistic fuzzy variable-weight aggregation operators is developed. Finally, an illustrative example shows the effectiveness of the proposed approach.