Wθg-Closed and Wδg-Closed in [0,1]-Topological Spaces
We investigate various classes of generalized closed fuzzy sets in [0,1]-topological spaces, namely, Wθg-closed fuzzy sets and Wδg-closed fuzzy sets. Also, we introduce a new separation axiom FT3/4∗ of the [0,1]-topological spaces, and we prove that every FT3/4∗-space is a FT3/4-space. Furthermore,...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2011/853870 |
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| author | M. E. El-Shafei A. H. Zakari |
| author_facet | M. E. El-Shafei A. H. Zakari |
| author_sort | M. E. El-Shafei |
| collection | DOAJ |
| description | We investigate various classes of generalized closed fuzzy sets in [0,1]-topological spaces, namely, Wθg-closed fuzzy sets and Wδg-closed fuzzy sets. Also, we introduce a new separation axiom FT3/4∗ of the [0,1]-topological spaces, and we prove that every FT3/4∗-space is a FT3/4-space. Furthermore, we using the new generalized closed fuzzy sets to construct new types of fuzzy mappings. |
| format | Article |
| id | doaj-art-ccec5142d511475bb610eb1c31fa2e2d |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-ccec5142d511475bb610eb1c31fa2e2d2025-08-20T02:19:52ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252011-01-01201110.1155/2011/853870853870Wθg-Closed and Wδg-Closed in [0,1]-Topological SpacesM. E. El-Shafei0A. H. Zakari1Department of Mathematics, Mansoura University, P.O. Box 35516, Mansoura 35516, EgyptDepartment of Mathematics, Jazan University, P.O. Box 100, Jaza, Damad, Saudi ArabiaWe investigate various classes of generalized closed fuzzy sets in [0,1]-topological spaces, namely, Wθg-closed fuzzy sets and Wδg-closed fuzzy sets. Also, we introduce a new separation axiom FT3/4∗ of the [0,1]-topological spaces, and we prove that every FT3/4∗-space is a FT3/4-space. Furthermore, we using the new generalized closed fuzzy sets to construct new types of fuzzy mappings.http://dx.doi.org/10.1155/2011/853870 |
| spellingShingle | M. E. El-Shafei A. H. Zakari Wθg-Closed and Wδg-Closed in [0,1]-Topological Spaces International Journal of Mathematics and Mathematical Sciences |
| title | Wθg-Closed and Wδg-Closed in [0,1]-Topological Spaces |
| title_full | Wθg-Closed and Wδg-Closed in [0,1]-Topological Spaces |
| title_fullStr | Wθg-Closed and Wδg-Closed in [0,1]-Topological Spaces |
| title_full_unstemmed | Wθg-Closed and Wδg-Closed in [0,1]-Topological Spaces |
| title_short | Wθg-Closed and Wδg-Closed in [0,1]-Topological Spaces |
| title_sort | wθg closed and wδg closed in 0 1 topological spaces |
| url | http://dx.doi.org/10.1155/2011/853870 |
| work_keys_str_mv | AT meelshafei wthgclosedandwdgclosedin01topologicalspaces AT ahzakari wthgclosedandwdgclosedin01topologicalspaces |