摘要
引入了论域U上的自反模糊关系R的传递化表示R_s的概念,利用R_s给出了R和R_s诱导的模糊拓扑的一组共同的基,从而证明了二者诱导的拓扑是相同的,研究了诱导拓扑的度量化问题及其可数性.
In this paper,we introduce the notion of the transitive expression R_s of a reflexive fuzzy relation R on a domain U.It is proved that the fuzzy topological structures induced by R and R_s are the same by using a common base of the two induced topological structures.Moreover,we study the metrization and countability of the induced topology.
出处
《系统科学与数学》
CSCD
北大核心
2012年第2期226-236,共11页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金(11101297)
聊城大学科研基金(X10013)资助课题
关键词
模糊近似空间
模糊拓扑
自反模糊关系
传递化表示
Fuzzy approximation spaces
fuzzy topologies
reflexive fuzzy relation
transitive expression
