基于自反关系的区间值模糊近似空间诱导的拓扑结构  

The Topological Structure Induced by Interval-valued Fuzzy Approximate Space Based on Reflexive Relation

作　　者：王莉[1] 李令强[1] 孟广武[1] 李颜霞[1] 

机构地区：[1]聊城大学数学科学学院,山东聊城252059

出　　处：《模糊系统与数学》2012年第3期100-104,共5页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(60875034);山东省中青年科学家科研奖励基金资助项目(BS2010SF004)

摘　　要：给出了论域U上自反的区间值模糊关系R诱导拓扑的一种新方法,并与胡凯的关于模糊紧性与粗集拓扑的研究中R诱导拓扑的方式进行了比较。结果表明:(1)后者需要R具有传递性才能生成拓扑,而前者则不需要此条件;(2)当R满足传递性时,两种方式生成的拓扑是相同的。In this paper, a new method that generates topologies by a reflexive interval-valued fuzzy relation R is introduced and then the comparisons with that method generating topologies by R in the literature of Hu Kai＇s ＂The Research of Fuzzy Compactness, Rough Sets, and Topology＂ are drawn. The results show that ： （1） the latter generates topologies only if R is transitive while the former does not need this condition; and （2） the two types of topological structures are the same when R is transitive.

关 键 词：拓扑学 区间值模糊集 自反的区间值模糊关系 近似空间 

分 类 号：O159[理学—数学]