对应用层次分析法确定权重系数的探讨

A Study of Weight Coefficient Computing Method Based on AHP

确定评价指标权重有很多方法,层次分析法是其中一种简单直观、方便实用的方法。文中介绍了基于层次分析法的权重系数确定方法的主要内容以及方根法、和法两种判断矩阵处理方法的使用步骤。对判断矩阵满足一致性条件的情况进行分析与推导后得出结论:不用进行一致性检验且最终所得权重系数为判断矩阵任意一列元素归一化所得结果。根据所得结论,结合层次分析法思想,探讨了一种简单实用的权重系数确定方法,并进行了实例应用。

There are many methods to compute index weight, AHP is one useful and convenient method of them. The paper introduces the main content of weight coefficient computing method based on AHP, and the step of root and sum of two judgement matrix disposal method. After the reasoning of the instance when the judgement matrix meet coherence condition, two conclusions are gained： it doesn＇t need do coherence verification; the finally weight coefficient is the judgement matrix＇s any column＇s unitary result. According to the conclusion and the AHP＇s principle, the paper discusses a convenient weight coefficient computing method and gives an example of applying.