NL-fuzzy拓扑空间中的N-紧性  

N-Compactness of NL-fuzzy Topological Spaces

作　　者：王小霞[1] 高佳欣 李乔乔 WANG Xiaoxia;GAO Jiaxin;LI Qiaoqiao(College of Mathematics and Compute Science,Yan'an University,Yan'an 716000,China)

机构地区：[1]延安大学数学与计算机科学学院,陕西延安716000

出　　处：《沈阳大学学报（自然科学版）》2024年第4期364-368,共5页Journal of Shenyang University：Natural Science

基　　金：国家自然科学地区基金项目(12261090);陕西省自然科学基础研究项目(2018JM1042)。

摘　　要：利用α-远域族定义了NL-fuzzy拓扑空间中的N-紧性,借助α-分子网,模糊滤子以及模糊滤子基的概念给出其等价刻画。证明了N-紧性具有拓扑不变性以及有限多个N-紧集的并仍为N-紧集等性质。The N-compactness in the NL-fuzzy topological space was defined by usingα-neighborhood family,and its equivalence was described by the concepts ofα-net,fuzzy filter and fuzzy filter base.It was proved that the N-compactness has the properties of topological invariance and the the union of finite N-compact sets is still N-compact sets.

关 键 词：NL-fuzzy拓扑空间 α-远域族 N-紧性 模糊滤子 拓扑不变性 

分 类 号：O189[理学—数学]