基于优势度分析的三角模糊数判断矩阵的排序方法

研究了三角模糊数判断矩阵的排序问题,在两个三角模糊数相互比较大小的可能度的基础上,综合分析直接和间接两个方面的比较因素,提出了两个三角模糊数比较的优势度概念.对三角模糊数判断矩阵的行元素信息进行集结并利用所定义的优势度概念作为度量对集结的结果两两进行比较,构造出相应的以实数表示的模糊互补优势度矩阵,进而利用模糊互补判断矩阵的排序公式得到方案的排序权值.最后通过一个算例说明了提出的排序方法.

The Priority Method for Triangular Fuzzy Number Judgment Matrix Based on The Analysis of Dominance Degree

The priority problems of triangular fuzzy number judgment matrix are studied. The conception of dominance degree is presented in considering of the direct and indirect factor synthetically when comparing the dimension of two triangular fuzzy numbers. Aggregated the row element information of triangular fuzzy number judgment matrix and compared it with the dominance degree,the corresponding fuzzy complementary dominance degree matrix which elements are real number is constructed and the weight value of alternatives is obtained utilizing ranking formula of fuzzy complementary judgment matrix. Finally,a numerical example is given to illustrate the use of the proposed method.