一种语言判断矩阵不一致性的修正方法

摘要

In this paper, a method of adjusting the inconsistency of the linguistic judgment matrix is studied. The satisfying consistency of linguistic judgment matrix is determined by judging whether the 0-1 permutation preference relation matrix is a vStandard 0-1 permutation matrix. If the linguistic judgment matrix has inconsistency, the 0-1 permutation preference relation matrix is adjusted until it is a standard 0-1 permutation matrix. The unreasonable results which are from wise comparison in pairs on alternatives are adjusted through changing the values of 0-1 permutation preference relation matrix. Finally, a numerical example is given to show the rationality and effectiveness of the method.%文章研究了语言判断矩阵不一致性的修正方法.首先利用0-1型排列偏好关系矩阵是否是标准0-1型排列矩阵,得出语言判断矩阵是否具有满意一致性；若不具有满意一致性,通过改变0-1型排列偏好关系矩阵的元素值来修正方案两两比较时出现的循环现象,使其成为标准0-1型排列矩阵；最后给出实例验证这种方法的合理性和有效性.