层次分析法(AHP)比例标度的分析与改进

Improvement and Analysis of Scale of AHP

简述了层次分析法 (AHP)的发展背景和基本的方法步骤 ,指出传统 1 -9标度方法由于其方法上的局限性可能会导致与实际不符 ,因此有必要改进标度方法 .将指标分为数量性指标和非数量性指标两种情况 ,提出了标度的改进方法 .在指标是非数量性指标的情况下 ,对 3种新的标度方法进行比较 ,并分析了各自的精度 ;在指标是数量性指标的情况下 ,可利用一标度函数来构造满足一致性要求的判断矩阵 .对文献 [3 ]中提出的标度函数进行了改进 ,并对改进后的构造函数进行了合理性验证 .

This paper describes the basic method and developing background of AHP and also points out that the conventional 1-9 methods of scale have some shortages which may lead to deviation from the fact,so it improves the methods of scale according to two different conditions.Firstly,it compares three new methods of scale and their accuracy;secondly,it points out that the satisfactory judgement matrix can be constructed by an index function and improved one index function told by reference [3] then validated the rationality of the function.