一致性语言判断矩阵的性质及排序  

On the Properties and Priority Method of a Consistent 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：《临沂师范学院学报》2008年第6期18-22,共5页Journal of Linyi Teachers' College

基　　金：国家自然科学基金项目(10671108);山东省自然科学基金项目(Y2005A04)资助

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,并将此方法应用到群决策中.最后给出算例说明了文中提出的分析方法.This paper has studied the consistency of addition and ranking problem based on linguistic judg- ment matrix. Based on the related concepts of fuzzy judgment matrix and linguistic judgment matrix, it puts forward the concepts of the addition consistency about linguistic judgment matrix. Then, transforming judgment matrix with linguistic assessment information into digital matrix through introducing the educed matrix, we can judge the consistency of the linguistic matrix according to the way of judging the educed matrix. At the same time, group decision-making can also apply this method. Finally, some numerical example is given to illustrate the use of the proposed 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：C934[经济管理—管理学]