一种语言判断矩阵不一致性的修正方法  

A method of adjusting the inconsistency of linguistic judgment matrix

作　　者：靳凤侠[1] 黄天民[1] 

机构地区：[1]西南交通大学数学学院,四川成都610031

出　　处：《合肥工业大学学报（自然科学版）》2012年第9期1196-1199,1258,共5页Journal of Hefei University of Technology：Natural Science

基　　金：国家自然科学基金资助项目(60873108;61100046);中央高校科研业务费专项资金项目(swjtu09ZT37;swjtu11ZT29);四川省应用基础研究计划资助项目(2011JY0092)

摘　　要：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。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 standard 0-1 permutation matrix. If the linguistic judg- ment 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.

关 键 词：决策分析 语言判断矩阵 不一致性 排列矩阵 

分 类 号：N945.25[自然科学总论—系统科学]