摘要
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.
出处
《系统工程理论与实践》
EI
CSCD
北大核心
1996年第10期83-86,共4页
Systems Engineering-Theory & Practice