多个成对比较矩阵确定权向量的一种方法

层次分析法将人们的思维过程层次化,逐层比较相关因素并逐层检验比较结果是否合理,从而为决策提供具有说服力的定量依据。在层次分析法的分析过程中,成对比较矩阵的构造是一个非常重要的环节,但由单个专家构造的成对比较矩阵中所包含的主观因素对层次分析法得出的结果影响较大。为了减少层次分析法中的主观成分,可请专家群体构造成对比较矩阵。文章给出了一种通过多个成对比较矩阵确定权向量的方法。

A Method Using Multiple Paired Comparison Matrixes to Determine Weight Vector

AHP （Analytic Hierarchy Process） can make people’s thinking process to be stratified,which compares related factors by layers and tests whether the comparison result is reasonable,so as to provide convincing quantitative basis for decision-making.In the analysis process of AHP,constructing paired comparison matrix is a very important part.However,the subjective factors included in the paired comparison matrix constructed by single expert have great influence on the result obtained by AHP.In order to reduce the subjective components of AHP,expert groups can be invited to construct paired comparison matrixes.A method to determine the weight vector is proposed with multiple paired comparison matrixes.