On Metrization of the Topologies Induced by Fuzzy Metrics
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. Moreo...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/4731357 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832566439127547904 |
|---|---|
| author | Jianrong Wu Hao Yang |
| author_facet | Jianrong Wu Hao Yang |
| author_sort | Jianrong Wu |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-c90dd9e90eaa4c3796e7226e48ba510d |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-c90dd9e90eaa4c3796e7226e48ba510d2025-02-03T01:04:09ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/47313574731357On Metrization of the Topologies Induced by Fuzzy MetricsJianrong Wu0Hao Yang1College of Mathematics and Physics, Suzhou University of Science and Technology, Suzhou, Jiangsu 215009, ChinaCollege of Mathematics and Physics, Suzhou University of Science and Technology, Suzhou, Jiangsu 215009, ChinaIn 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.http://dx.doi.org/10.1155/2020/4731357 |
| spellingShingle | Jianrong Wu Hao Yang On Metrization of the Topologies Induced by Fuzzy Metrics Journal of Mathematics |
| title | On Metrization of the Topologies Induced by Fuzzy Metrics |
| title_full | On Metrization of the Topologies Induced by Fuzzy Metrics |
| title_fullStr | On Metrization of the Topologies Induced by Fuzzy Metrics |
| title_full_unstemmed | On Metrization of the Topologies Induced by Fuzzy Metrics |
| title_short | On Metrization of the Topologies Induced by Fuzzy Metrics |
| title_sort | on metrization of the topologies induced by fuzzy metrics |
| url | http://dx.doi.org/10.1155/2020/4731357 |
| work_keys_str_mv | AT jianrongwu onmetrizationofthetopologiesinducedbyfuzzymetrics AT haoyang onmetrizationofthetopologiesinducedbyfuzzymetrics |