AHP中近似偏好判断的分析与结论

THE ANALYSES AND RESULTS OF APPROXIMATE PREFERENCE JUDGMENTS IN AHP

本文对层次分析法(Analytic Hierarchy Process,简称AHP)中的近似偏好判断进行分析,研究近似判断阵权系数的存在性及权集合的特性。建立并证明了权集合非空的必要与充分条件,给出了权集合上的弱传递性条件。文中结论为克服AHP中“量化”的困难、探讨更实用的偏好分析方法提供了理论上的保证。

This paper is concerned with approximate statements of preference givenby decision-maker in analytic hierarchy process (AHP), and concentrated onresearching the existence of priority vectors as well as the characters of thepriority set. The necessary and sufficient condition has been established, onwhich priority vectors exist. And weak transitivity is verified to be held in thesubset of the priority collection. The results given in the paper are useful for overcoming the difficultiesin articulating preference, and helpful to explore more practical methods forderiving priority vectors.