区间粗糙数互反判断矩阵的一致性研究  

Research on the Consistency of Interval Rough Number Reciprocal Judgment Matrix

作　　者：黄锐露 田泽金 吕跃进[1] HUANG Rui-lu;TIAN Ze-jin;LV Yue-jin(College of Mathematics and Information Science,Nanning 530004,China;College of Electrical Engineering,Guangxi University,Nanning 530004,China)

机构地区：[1]广西大学数学与信息科学学院,广西南宁530004 [2]广西大学电气工程学院,广西南宁530004

出　　处：《模糊系统与数学》2019年第4期124-133,共10页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(71361002)

摘　　要：结合区间数判断矩阵的一致性研究方法,从集合论的角度出发,给出了区间粗糙数互反判断矩阵的满意一致性,完全一致性的定义,讨论了一致性区间粗糙数互反判断矩阵的相关性质,提出了一种基于区间数特征根法的区间粗糙数互反判断矩阵排序方法,并通过算例说明该方法的可行性及适用性。Combining the consistency study method of interval number judgment matrix,from the perspective of set theory,the satisfactory consistency of interval rough number reciprocal judgment matrix and the definition of complete consistency are given.The relevant properties of consistent interval rough number reciprocal judgment matrix is discussed,a ranking method based on interval number eigenvalue method of interval rough number reciprocal judgment matrix is proposed,and the feasibility and applicability of the method are illustrated by an example.

关 键 词：集合论 满意一致性 完全一致性 特征根法 区间粗糙数 

分 类 号：O159[理学—数学]