一种三角模糊数互补判断矩阵的排序方法

互补判断矩阵是决策者给出两两方案比较的一种偏好信息形式 ,有关此方面决策问题的研究近年来引起了重视。针对一类带有三角模糊数的互补判断矩阵的排序问题 ,提出了一种新的排序方法。首先给出了关于三角模糊数互补判断矩阵的概念和三角模糊数的运算规则 ,然后在此基础上 ,通过计算三角模糊数期望值的方法来得到每个方案的排序值 ,从而进行方案的排序。该方法具有简单、实用的特点。最后通过一个算例说明了提出的排序方法。

A Ranking Method for Reciprocal Judgement Matrix With Triangular Fuzzy Numbers

Reciprocal judgement matrix is a kind of preference information of pairwise comparison on alternatives given by decision makers. Decision making based on the reciprocal judgement matrix is an important topic. With regard to ranking problems on reciprocal judgement matrix with triangular fuzzy numbers, a new analysis method is presented in this paper. In the method, firstly, the concepts of the reciprocal judgement matrix with triangular fuzzy numbers and the operational rules on triangular fuzzy numbers are introduced, then the ranked value of each alternative is obtained by computing expected values of triangular fuzzy numbers. The method is simple and practical. Finally, a numberical example is given to illustrate the use of the proposed method.