摘要
在模糊相似关系方程X2=X的分解构造理论基础上,用泛函分析方法证明了与给定的模糊相似阵距离最近的最优模糊等价阵的存在性与局部唯一性;还证明了局部最优模糊等价阵与给定的相似阵之间的数值关系.另外还讨论了传递闭包与最优模糊等价阵之间的关系.最后给出了传递核的概念。
The following problems have been discussed. First, based on the theory of distribution structure of fuzzy similar matrix equation X 2=X , the existence theorem and local uniqueness theorem of the optimal fuzzy equivalent matrix have been proved by using the method of abstract analysis. Second, the relation between local optimal fuzzy equivalent matrix and the given fuzzy similar matrix has been pointed out. Third, the relation between transitive closure and optimal fuzzy equivalent matrix has been discussed. At last, the concept of transitive kernel is proposed.
出处
《系统工程理论与实践》
EI
CSCD
北大核心
1999年第4期8-11,69,共5页
Systems Engineering-Theory & Practice
基金
国家自然科学基金
关键词
模糊等价阵
传递核
模糊聚类
模糊数学
optimal fuzzy equivalent matrix
transitive kernel
fuzzy clustering