文献[1]和[2]中黄绪励推广了T.L.Saaty^[4]及XuShubo^[5]的保序原理, 讨论并证明了AHP中, 在单一准则下, 一组新元素导入时, 保持新旧两组元素各自排序的相对权值不变的一个充要条件。本文对此条件进行了分析并证明了λmax(DC)=λmax(CD)是与保序性无关的, 得出了更简单的保序定理。使得保序性理论的研究有了一个新进展。

Huang Xuli has extend T.L.Saaty and Xu Shubo’s principle of rank preservation in reference and .He proved a necessary and sufficient condition to preserve relative priority weighys of old elements and new ones under a single criterion when a new group of elements are added.In this paper, we analyze Huang’s condition and prove that λ max (DC) = λ max (CD) has nothing to do with rank preservation.We obtain simpler theorem of rank preservation than Huang’s.It makes rank preservation theory have a new development.