摘要
多粒度的语言术语是刻画决策问题不确定性差异程度的有效方式。文中定义了语言信息函数和多粒度语言判断矩阵对应的导出矩阵,在此基础上提出了多粒度语言判断矩阵完全一致性和满意一致性的概念,得到了多粒度语言判断矩阵具有完全一致性和满意一致性的充要条件。本文研究为群决策中基于不同粒度的语言判断矩阵有效集结提供了理论依据。
Multi-granularity linguistic terms can be described the uncertain difference efficiently in the decisionmaking problems. Linguistic information function and the corresponding deduced matrices of multi-granularity linguistic judgment matrices are defined in this paper. On the basis of this definition, some new concepts are proposed, such as the consistency, satisfactory consistency of multi-granularity linguistic judgment matrix. We obtain the sufficient and necessary conditions of a multi-granularity linguistic judgment matrix with consistency or satisfactory consistency. The research gives the theoretic basis for aggregating the multi-granularity linguistic judgment matrices effectively in the group decision-making.
出处
《运筹与管理》
CSCD
北大核心
2009年第4期50-53,共4页
Operations Research and Management Science
基金
国家自然科学基金资助项目(70571001)
安徽省优秀青年科技基金资助项目(08040106835)
安徽省自然科学基金资助项目(070416245)
安徽高等学校省级教学研究项目(2007jyxm177)
安徽大学人才队伍建设项目
安徽省自然科学基金资助项目(090412260X)
关键词
决策分析
一致性
导出矩阵
多粒度
语言判断矩阵
decision-making
consistency
induced matrix
multi-granularity
linguistic judgment matrix
