Regularity of fuzzy convergence spaces
(Fuzzy) convergence spaces are extensions of (fuzzy) topological spaces. ⊤-convergence spaces are one of important fuzzy convergence spaces. In this paper, we present an extending dual Fischer diagonal condition, and making use of this we discuss a regularity of ⊤-convergence spaces.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2018-12-01
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| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2018-0118 |
| _version_ | 1831767173924651008 |
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| author | Li Lingqiang Jin Qiu Yao Bingxue |
| author_facet | Li Lingqiang Jin Qiu Yao Bingxue |
| author_sort | Li Lingqiang |
| collection | DOAJ |
| description | (Fuzzy) convergence spaces are extensions of (fuzzy) topological spaces. ⊤-convergence spaces are one of important fuzzy convergence spaces. In this paper, we present an extending dual Fischer diagonal condition, and making use of this we discuss a regularity of ⊤-convergence spaces. |
| first_indexed | 2024-12-22T06:36:36Z |
| format | Article |
| id | doaj.art-765c37f3899947c8996bf762136b2116 |
| institution | Directory Open Access Journal |
| issn | 2391-5455 |
| language | English |
| last_indexed | 2024-12-22T06:36:36Z |
| publishDate | 2018-12-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Mathematics |
| spelling | doaj.art-765c37f3899947c8996bf762136b21162022-12-21T18:35:33ZengDe GruyterOpen Mathematics2391-54552018-12-011611455146510.1515/math-2018-0118math-2018-0118Regularity of fuzzy convergence spacesLi Lingqiang0Jin Qiu1Yao Bingxue2College of Mathematics and Sciences, Liaocheng University, Liaocheng, ChinaCollege of Mathematics and Sciences, Liaocheng University, Liaocheng, ChinaCollege of Mathematics and Sciences, Liaocheng University, Liaocheng, China(Fuzzy) convergence spaces are extensions of (fuzzy) topological spaces. ⊤-convergence spaces are one of important fuzzy convergence spaces. In this paper, we present an extending dual Fischer diagonal condition, and making use of this we discuss a regularity of ⊤-convergence spaces.https://doi.org/10.1515/math-2018-0118fuzzy setfuzzy topologyfuzzy convergencediagonal conditionregularity54a4006d10 |
| spellingShingle | Li Lingqiang Jin Qiu Yao Bingxue Regularity of fuzzy convergence spaces Open Mathematics fuzzy set fuzzy topology fuzzy convergence diagonal condition regularity 54a40 06d10 |
| title | Regularity of fuzzy convergence spaces |
| title_full | Regularity of fuzzy convergence spaces |
| title_fullStr | Regularity of fuzzy convergence spaces |
| title_full_unstemmed | Regularity of fuzzy convergence spaces |
| title_short | Regularity of fuzzy convergence spaces |
| title_sort | regularity of fuzzy convergence spaces |
| topic | fuzzy set fuzzy topology fuzzy convergence diagonal condition regularity 54a40 06d10 |
| url | https://doi.org/10.1515/math-2018-0118 |
| work_keys_str_mv | AT lilingqiang regularityoffuzzyconvergencespaces AT jinqiu regularityoffuzzyconvergencespaces AT yaobingxue regularityoffuzzyconvergencespaces |