| 李长清1，张燕兰2，张 静1.Hausdorff模糊度量拓扑和Vietoris拓扑[J].海南师范大学学报自科版,2019,32(2):177-180 |
| Hausdorff模糊度量拓扑和Vietoris拓扑 |
| Hausdorff Fuzzy Metric Topology and Vietoris Topology |
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| DOI：10.12051/j.issn.1674-4942.2019.02.012 |
| 中文关键词: 模糊度量 Hausdorff模糊度量拓扑 Vietoris拓扑 |
| 英文关键词: fuzzy metric Hausdorff fuzzy metric topology Vietoris topology |
| 基金项目: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） |
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| 摘要点击次数: 779 |
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| 中文摘要: |
| 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。 |
| 英文摘要: |
| 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 spac⁃
es and the Vietoris topological spaces deduce precompactness, as well as completeness and compactness of a given station⁃
ary and F-bounded fuzzy metric space were given. |
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