语言判断矩阵满意一致性判定方法的研究  

Research on Determining Satisfying Consistency 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：《数学的实践与认识》2011年第20期198-204,共7页Mathematics in Practice and Theory

基　　金：国家自然科学基金(60873108);中央高校科研业务费专项资金(swjtu 09ZT37)

摘　　要：在语言判断矩阵及其满意一致性定义的基础上,给出了语言判断矩阵的偏好关系矩阵和0-1型排列偏好关系矩阵的定义,并得出用标准0-1型排列矩阵来判定语言判断矩阵满意一致性的方法,方法不仅解决了存在等价方案时的满意一致性问题,而且简单有效;最后进行了实例分析,验证了该方法的有效性.Based on the conceptions of linguistic judgment matrix and its satisfying consistency, the connotations of preference relation matrix and 0-1permutation preference relation matrix are presented. Furthermore, a judgment method is presented to determine whether the linguistic judgment matrix has satisfying consistency with standard 0-1 permutation matrix. This method not only solves the satisfying consistency of existing targets which are equivalent, but also it is simple and effective. Finally, two examples show the validity of the method.

关 键 词：语言判断矩阵 满意一致性 偏好关系矩阵 标准0—1型排列矩阵 

分 类 号：C934[经济管理—管理学]