区间互补判断矩阵可接受一致性

Acceptable consistency analysis of interval complement comparison matrices

对区间互补判断矩阵的一致性进行研究,提出一种新的可接受一致性定义,将不满足可接受一致性的矩阵较容易地修正为可接受一致性矩阵.基于凸组合方法,一族明晰数互补判断矩阵的权重向量可被用来求取可接受一致性区间互补判断矩阵的区间权重,并提出了求取可接受一致性区间互补判断矩阵区间权重向量的算法.数值例子显示了所提出的可接受一致性定义以及算法的可行性和有效性.

This paper presents an new definition of acceptably consistent interval complement comparison matrix. An interval complement comparison matrix with unacceptable consistency can be easily adjusted such that the revised matrix possesses acceptable consistency. By utilizing a convex combination method, a family of crisp complement comparison matrices with acceptable consistency can be obtained, whose weights are aggregated to obtain interval weights from an acceptably consistent interval complement comparison matrix. Based on the possibility degree formula, the ranking of interval weights can be derived. An algorithm for generating the weights from acceptably consistent interval complement comparison matrices is proposed. Illustrated examples are presented to show the feasibility and effectiveness of the definition and algorithm.