AHP中严格保序性定理条件的修正

Condition of Strict Theorem of Rank Preservation Being Revised in the AHP

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。

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.