摘要
本文定义了残缺区间数互补判断矩阵、残缺区间数互补判断矩阵的有向图、加性一致性残缺区间数互补判断矩阵。对残缺区间数互补判断矩阵进行了研究,得到了残缺区间数互补判断矩阵是可接受的一个充要条件,用Matlab编程实现了判定残缺区间数互补判断矩阵是否可接受的算法。对于可接受残缺区间数互补判断矩阵,提出了对一致性和不一致性残缺区间数互补判断矩阵都适用的排序方法。最后通过实例验证了该方法的可行性和有效性。
This paper defines the incomplete interval complementary judgment matrix, the directed graph of incomplete interval complementary judgment matrices and the additive consistency of incom-plete interval complementary judgment matrices. We study the incomplete interval complementary judgment matrix and obtain a necessary and suffcient condition that the incomplete interval com-plementary judgment matrix is acceptable. Matlab programming is used to implement an algorithm for judging whether an incomplete interval complementary judgment matrix is acceptable or not. As for the acceptable incomplete interval complementary judgment matrix, this paper presents a priority method adaptable to both the consistent incomplete interval complementary judgment matrix and the inconsistent incomplete interval complementary judgment matrix. The feasibility and effectiveness of this method is illustrated via numerical examples.
出处
《工程数学学报》
CSCD
北大核心
2008年第5期901-908,共8页
Chinese Journal of Engineering Mathematics
基金
国家自然科学基金(50478045)
西安市科技局资助项目(HJ05004-1)
西安理工大学校科学研究计划A类项目
关键词
残缺区间数互补判断矩阵
可接受性
算法
C-OWA算子
排序
incomplete interval complementary judgment matrix
acceptability
algorithm
C-OWA operator
priority
