基于排序序列的判断矩阵一致性改进方法

Study of Improve Consistency of Judgment Matrix Based on Sort Sequence

对层次分析法中判断矩阵的一致性问题进行研究,分析影响判断矩阵一致性的主要因素,在此基础上,提出利用排序序列构造判断矩阵的方法.算例分析表明,该方法所构造的判断矩阵不仅最大程度地保留了决策者的原始偏好信息,使判断矩阵的一致性精度有所提高.

The uniformity of judgment matrix in Analytic Hierarchy Process（AHP） is studied, and the main factors affected the uniform of judgment matrix are also analyzed a novel meth which using rank sequence to be the judgment matrix is proposed based on the research of it. The results of the example indicate that the judge matrix buihed by the proposed method not only preserves the original preference information as much as possible, but the computational complexity is reduced, moreover the uniformal precision of judgment matrix is improved.