摘要
研究了语言判断矩阵的一致性及基于语言判断矩阵的方案排序问题.在给出语言判断矩阵有关概念的基础上,通过对有序语言短语集中的有序语言短语进行"量化",给出了语言间相互作用的运算定义,探讨了语言短语及语言判断矩阵的基本性质,进一步从理论上提出了语言判断矩阵完全一致性和满意一致性的概念;为了方便检验语言判断矩阵的一致性,通过引入导出矩阵的概念将语言判断矩阵转化为数量矩阵,并提出了语言判断矩阵完全一致性、满意一致性的简便的判定方法;针对基于语言判断矩阵的方案排序问题,根据导出矩阵的性质通过求解最大特征根,给出了一种简便的方案排序方法;最后通过两个算例说明了本文给出的一致性判定方法和方案排序方法.
This paper has studied the consistency and ranking problem for judgment matrix with linguistic assessment information. Based on the related concepts of judgment matrix with linguistic assessment information and the measure of ordered linguistic terms, it puts forward the concepts on the complete consistency and the satisfied consistency for judgment matrix with linguistic assessment information in theory , transforming judgment matrix with linguistic assessment information into digital matrix through introducing the educed matrix, the approaches are proposed theoretically to judge the complete consistency and the satisfied consistency for judgment matrix with linguistic assessment information. A simple algorithm for ranking alternatives is also developed. Finally, two examples are chosen to illustrate the consistency judgment approaches and the ranking approach of alternatives.
出处
《系统工程理论与实践》
EI
CSCD
北大核心
2004年第4期136-141,共6页
Systems Engineering-Theory & Practice
基金
资助项目:国家自然科学基金(70071004
70371050)
教育部高等学校优秀青年教师教学科研奖励计划(教人司[2002]123)
关键词
语言判断矩阵
完全一致性
满意一致性
导出矩阵
判定方法
judgment matrix with linguistic assessment information
complete consistency
satisfied consistency
educed matrix
judgment method
