语言判断矩阵解决决策问题的新方法  

A New Way to Solve Decision Making Problem Based on Linguistic Judgment Matrix

作　　者：张智刚[1] 李继乾[1] 赵成元[1] 

机构地区：[1]曲阜师范大学运筹与管理学院,山东日照276826

出　　处：《洛阳理工学院学报（自然科学版）》2009年第1期59-63,共5页Journal of Luoyang Institute of Science and Technology：Natural Science Edition

基　　金：国家自然科学基金(10671108);山东省自然科学基金(y2005A04)

摘　　要：研究了语言判断矩阵的加性一致性及方案排序问题。在给出有关语言判断矩阵和模糊互补判断矩阵的概念的基础上,提出语言判断矩阵的加性一致性的定义,然后通过引进导出矩阵将语言判断矩阵转换为数值判断矩阵。通过判定现有的数值判断矩阵的一致性方法,对导出矩阵进行一致性判断,得到给予语言判断矩阵的一致性的判定方法,最后通过一个算例说明文中提出的分析方法.This paper has studied the additive consistency and ranking of alternatives of linguistic judgment matrix. Based on the related concepts of fuzzy judgment matrix and linguistic judgment matrix, it puts forward the concepts of the additive consistency about linguistic judgment matrix. With judging the consistency of matrix through judging the available numerals, this paper makes consistency judgment for the educed matrix and attains the consistency judging method for the given linguistic judgment matrix. Finally, a numerical example was given to illustrate the proposed analysis in this paper.

关 键 词：语言判断矩阵 模糊互补判断矩阵 导出矩阵 

分 类 号：O159[理学—数学]