诱导的fuzzy拓扑生成序空间  

On Induced Fuzzy Topogenous Order Spaces

作　　者：吴修云[1,2] 

机构地区：[1]湖南科技学院计算数学所数学系,湖南永州425100 [2]湘潭大学数学学院,湖南湘潭411105

出　　处：《模糊系统与数学》2015年第3期84-90,共7页Fuzzy Systems and Mathematics

基　　金：国家自科基金资助项目(11471202);湖南省教育厅项目(15C0586)

摘　　要：主要研究了fuzzy拓扑生成序空间的诱导理论。首先,利用算子ω,ι及[]定义了三种拓扑生成序,并讨论了它们的基本性质。其次,引入了三种fuzzy拓扑生成序空间。即,弱诱导的fuzzy拓扑生成序空间,满层的fuzzy拓扑生成序空间,以及诱导的fuzzy拓扑生成序空间。并进一步讨论了这三种fuzzy拓扑生成序空间的内在关系。The aim of this paper is to discuss the theory of induced fuzzy topogenous spaces. Firstly, by using three operators, namely, co, e and [], we define three topogenous orders whose basic properties are studied accordingly. Secondly, we introduce three kinds of fuzzy topogenous spaces, i.e. , weakly induced fuzzy topogenous spaces, stratified fuzzy topogenous spaces and induced fuzzy topogenous spaces. We further explore the inner relations of those three spaces.

关 键 词：Fuzzy拓扑生成序 弱诱导的fuzzy拓扑生成序空间 满层的fuzzy拓扑生成序空间 诱导的fuzzy拓扑生成序空间 

分 类 号：O189[理学—数学]