层次分析积因子方法的保序性

在应用传统的层次分析方法时，不论采用相对测量还是绝对测量，都存在逆序现象。而产生逆育现象的根源是决策方案集的封闭性及反映决策者主观认识的判断方法对客观存在的决策方案集的严重依赖性。文章介绍了一种保存的层次分析方法－积因子法，证明了在一定的条件下，积因子法是唯一可选用的保序方法。

RANK PRESERVATION OF THE PRODUCT METHOD OF AHP

In this paper we highlight that rank reversal would happen in Analysis Heirachy Proceses not only with relative measurement but also with absolute measurement.The first reason of rank reversal in AHP is that the set of decision alternative is closed,and the second is that the method which was used by the decision maker is heavily dependeni on alternatives.We show that the PRODUCT method has the quality for rank preservation.In some cases.it is the only method we may select in AHP.