基于模糊判断矩阵的一种方案排序方法

A Method for Ranking Alternatives Based on Fuzzy Judgement Matrix

针对决策者给出的一类模糊判断矩阵 ,给出了一种方案排序方法·该方法是依据模糊判断矩阵及其一致性的定义 ,建立了一个带有约束的非线性最优化模型 ,通过求解这个最优化模型 ,可以直接得到每个方案的排序值·采用该方法得到的方案排序结果最大程度地反映了决策者的偏好·最后给出了一个算例·

With respect to fuzzy judgement matrix on alternatives provided by the decision maker,a new method for ranking alternatives is proposed.On the basis of definitions about the fuzzy judgement matrix and its consistency,a non linear optimization model with constraints is set up to obtain the ranking values of alternatives.In this method,ranking of alternatives reflects the subjective preference of the decision maker.Finally,a numerical example is presented to illustrate the proposed method.