摘要
文[3]中提出的特征向量法[EM]因具有优势度而被广泛应用于向量排序,和法[SM]不具有优势度但简单实用。本文介绍一种新的排序方法——具有平均累积优势度的和法[DSM],它结合了EM和SM的一些优点,与EM、SM、GDSM、AMDM相比,DSM简单、实用、合理,且计算排序向量所需时间少。数据结果表明:DSM和EM总是得到相同的方案排序,而SM、LLSM、GMDM、AMDM有时会产生逆序。
The eigenvector method [EM] [3] is widely used for priorities because it captures dominance at the level of tolerated inconsistency, the sum method [SM][2] has no attempt to capture dominance, but with simplicity, practicality.This paper presents a new priority method- the sum method with mean cumulative dominance[DSM] combining the good characteristics of the EM and the SM. Compared with the EM, the SM, the GMDM and the AMDM, the DSM is a simpler, practical and rational method and needs less time in calculating the weight vectors of judgement matrices. The results of nume rical example also show that the DSM and the EM always derive the same rankings, the other me thods such as the SM, the logarithmic least squares method [ LLSM], the GMDM and the AMDM are possible to obtain the rankings, which differ from those derived by the DSM and the EM.
基金
Research supported by National Science Foundation of China
