关于层次分析法中判断矩阵间接给出法的讨论

A Discuss on the Indirect Method of a Judgement Matrix in Analytic Hierarchy Process

通过对文献[1]中判断矩阵的间接给出法(即三标度法)以及文献[2]中改进的间接给出法的讨论,本文的结论是:在单一准则下,三标度法可以得出正确的排序,但得到的权重不精确;三标度法一般不能用于多准则下排序,否则,往往不仅得不到精确的权重,而且还可能出现逆序现象。由此可知标,三度法不能代替直接法(即九标度法)。

Discussing the indirect method (Tri-measurement) of judgement meatrix and its improval, in this paper, we come to the conclusion that under the single criterions, we can get right order by Tri-measurement, but weights are not precise; generally, Tri-measurement can not be used under the multi-criteria, otherwise, in many cases, not only can we not gain precise weights, but also it is possible to cause the phenomena of the inverse order; therefore Tri-measurement can not substitute for Nine-measurement.