Topological Structure of Vague Soft Sets
We introduce vague soft topological spaces which are defined over an initial universe with a fixed set of parameters. The notions of vague soft open sets, vague soft closed sets, vague soft interior, vague soft closure, and vague soft boundary are introduced and their basic properties and relations...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/504021 |
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| _version_ | 1832561910792323072 |
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| author | Chang Wang Yaya Li |
| author_facet | Chang Wang Yaya Li |
| author_sort | Chang Wang |
| collection | DOAJ |
| description | We introduce vague soft topological spaces which are defined over an initial universe with a fixed set of parameters. The notions of vague soft open sets, vague soft closed sets, vague soft interior, vague soft closure, and vague soft boundary are introduced and their basic properties and relations are investigated. Furthermore, with the help of examples they established that some properties of topological spaces and soft topological spaces do not hold in vague soft topological spaces. Vague soft connectedness and vague soft compactness are also studied. |
| format | Article |
| id | doaj-art-50f8669acfdc4bc98041f6fcd09d9c3d |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-50f8669acfdc4bc98041f6fcd09d9c3d2025-02-03T01:23:58ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/504021504021Topological Structure of Vague Soft SetsChang Wang0Yaya Li1School of Mathematics, Northwest University, Xi’an, Shaanxi 710127, ChinaSchool of Mathematics, Northwest University, Xi’an, Shaanxi 710127, ChinaWe introduce vague soft topological spaces which are defined over an initial universe with a fixed set of parameters. The notions of vague soft open sets, vague soft closed sets, vague soft interior, vague soft closure, and vague soft boundary are introduced and their basic properties and relations are investigated. Furthermore, with the help of examples they established that some properties of topological spaces and soft topological spaces do not hold in vague soft topological spaces. Vague soft connectedness and vague soft compactness are also studied.http://dx.doi.org/10.1155/2014/504021 |
| spellingShingle | Chang Wang Yaya Li Topological Structure of Vague Soft Sets Abstract and Applied Analysis |
| title | Topological Structure of Vague Soft Sets |
| title_full | Topological Structure of Vague Soft Sets |
| title_fullStr | Topological Structure of Vague Soft Sets |
| title_full_unstemmed | Topological Structure of Vague Soft Sets |
| title_short | Topological Structure of Vague Soft Sets |
| title_sort | topological structure of vague soft sets |
| url | http://dx.doi.org/10.1155/2014/504021 |
| work_keys_str_mv | AT changwang topologicalstructureofvaguesoftsets AT yayali topologicalstructureofvaguesoftsets |