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.
作者
王小霞
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)
出处
《沈阳大学学报（自然科学版）》
CAS
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)。
作者简介
王小霞(1978-),女,陕西商州人,副教授。
