Filter with its applications in fuzzy soft topological spaces
In this paper, we introduce the convergence of a fuzzy soft filter with the help of the Q-neighborhoods and study the relations between fuzzy soft nets and fuzzy soft filters. In addition, we use fuzzy soft filters to characterize some basic concepts of a fuzzy soft topological space, such as open s...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2021-01-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | http://www.aimspress.com/article/doi/10.3934/math.2021143?viewType=HTML |
| _version_ | 1818700339431342080 |
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| author | Rui Gao Jianrong Wu |
| author_facet | Rui Gao Jianrong Wu |
| author_sort | Rui Gao |
| collection | DOAJ |
| description | In this paper, we introduce the convergence of a fuzzy soft filter with the help of the Q-neighborhoods and study the relations between fuzzy soft nets and fuzzy soft filters. In addition, we use fuzzy soft filters to characterize some basic concepts of a fuzzy soft topological space, such as open sets, closure, T2 separation and continuity. |
| first_indexed | 2024-12-17T15:03:22Z |
| format | Article |
| id | doaj.art-fb7a6ce0182d4f329cb9dc1a9e26c781 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-17T15:03:22Z |
| publishDate | 2021-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-fb7a6ce0182d4f329cb9dc1a9e26c7812022-12-21T21:43:50ZengAIMS PressAIMS Mathematics2473-69882021-01-01632359236810.3934/math.2021143Filter with its applications in fuzzy soft topological spacesRui Gao0Jianrong Wu1College of Mathematics Science, Suzhou University of Science and Technology, Suzhou, Jiangsu 215009, P. R. ChinaCollege of Mathematics Science, Suzhou University of Science and Technology, Suzhou, Jiangsu 215009, P. R. ChinaIn this paper, we introduce the convergence of a fuzzy soft filter with the help of the Q-neighborhoods and study the relations between fuzzy soft nets and fuzzy soft filters. In addition, we use fuzzy soft filters to characterize some basic concepts of a fuzzy soft topological space, such as open sets, closure, T2 separation and continuity.http://www.aimspress.com/article/doi/10.3934/math.2021143?viewType=HTMLfuzzy soft setfuzzy soft topologyfuzzy soft netfuzzy soft filterconvergence |
| spellingShingle | Rui Gao Jianrong Wu Filter with its applications in fuzzy soft topological spaces AIMS Mathematics fuzzy soft set fuzzy soft topology fuzzy soft net fuzzy soft filter convergence |
| title | Filter with its applications in fuzzy soft topological spaces |
| title_full | Filter with its applications in fuzzy soft topological spaces |
| title_fullStr | Filter with its applications in fuzzy soft topological spaces |
| title_full_unstemmed | Filter with its applications in fuzzy soft topological spaces |
| title_short | Filter with its applications in fuzzy soft topological spaces |
| title_sort | filter with its applications in fuzzy soft topological spaces |
| topic | fuzzy soft set fuzzy soft topology fuzzy soft net fuzzy soft filter convergence |
| url | http://www.aimspress.com/article/doi/10.3934/math.2021143?viewType=HTML |
| work_keys_str_mv | AT ruigao filterwithitsapplicationsinfuzzysofttopologicalspaces AT jianrongwu filterwithitsapplicationsinfuzzysofttopologicalspaces |