Hausdorff模糊度量拓扑和Vietoris拓扑  

Hausdorff Fuzzy Metric Topology and Vietoris Topology

作　　者：李长清 张燕兰 张静 LI Changqing;ZHANG Yanlan;ZHANG Jing(School of Mathematics and Statistics,Minnan Normal University,Zhangzhou 363000,China;School of Computer,Minnan Normal University,Zhangzhou 363000,China)

机构地区：[1]闽南师范大学数学与统计学院,福建漳州363000 [2]闽南师范大学计算机学院,福建漳州363000

出　　处：《海南师范大学学报（自然科学版）》2019年第2期177-180,共4页Journal of Hainan Normal University（Natural Science）

基　　金：国家自然科学基金项目(11701258,11801254,11571158);福建省自然科学基金项目(2016J01671,2019J01749,2017J01405)

摘　　要：模糊度量是模糊拓扑学的一个重要的概念,模糊度量超空间是模糊度量空间理论的重要组成部分之一。鉴于此,研究了由Hausdorff模糊度量拓扑与Vietoris拓扑的包含关系,导出了给定的stationary模糊有界的模糊度量空间的准紧性、完备性和紧致性的几个结论。Fuzzy metric is an important notion in Fuzzy Topology, and fuzzy metric hyperspace is an important part of fuzzy metric space theory. In view of this, several results including relations between the Hausdorff fuzzy metric topological spaces and the Vietoris topological spaces deduce precompactness, as well as completeness and compactness of a given stationary and F-bounded fuzzy metric space were given.

关 键 词：模糊度量 Hausdorff模糊度量拓扑 VIETORIS拓扑 

分 类 号：O189.1[理学—数学]