On Metrization of the Topologies Induced by Fuzzy Metrics

被引：2
|
作者：
Wu, Jianrong [1 ]
Yang, Hao [1 ,2 ]
机构：
[1] Suzhou Univ Sci & Technol, Coll Math & Phys, Suzhou 215009, Jiangsu, Peoples R China
[2] Nantong Inst Technol, Dept Math, Nantong 226002, Jiangsu, Peoples R China
来源：
JOURNAL OF MATHEMATICS | 2020年 / 2020卷
基金：
中国国家自然科学基金;
关键词：
CONTRACTION; SPACES;
D O I：
10.1155/2020/4731357
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we focus on finding the metric functions in a fuzzy metric space. After introducing the concept of a stratified function in a fuzzy metric space, we prove that the topology generated by the family of stratified functions coincides with the topology generated by the fuzzy metric. Moreover, we get the concrete form of metric function under some special conditions.
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页数：5
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