Compactness in intuitionistic fuzzy topological spaces
We introduce fuzzy almost continuous mapping, fuzzy weakly continuous mapping, fuzzy compactness, fuzzy almost compactness, and fuzzy near compactness in intuitionistic fuzzy topological space in view of the definition of Šostak, and study some of their properties. Also, we investigate the behavior...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.19 |
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| _version_ | 1832565750734258176 |
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| author | A. A. Ramadan S. E. Abbas A. A. Abd El-Latif |
| author_facet | A. A. Ramadan S. E. Abbas A. A. Abd El-Latif |
| author_sort | A. A. Ramadan |
| collection | DOAJ |
| description | We introduce fuzzy almost continuous mapping, fuzzy weakly
continuous mapping, fuzzy compactness, fuzzy almost compactness,
and fuzzy near compactness in intuitionistic fuzzy topological
space in view of the definition of Šostak, and study some of
their properties. Also, we investigate the behavior of fuzzy
compactness under several types of fuzzy continuous mappings. |
| format | Article |
| id | doaj-art-e6788aaa06ce4dec886d59b16e93ac82 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-e6788aaa06ce4dec886d59b16e93ac822025-02-03T01:06:54ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-0120051193210.1155/IJMMS.2005.19Compactness in intuitionistic fuzzy topological spacesA. A. Ramadan0S. E. Abbas1A. A. Abd El-Latif2Department of Mathematics, Faculty of Sciences, King Saud University, P.O. Box 237, Burieda 81999, Saudi ArabiaDepartment of Mathematics, Faculty of Science, South Valley University, Sohag 82524, EgyptDepartment of Mathematics, Faculty of Science, Cairo University, Beni Suef, EgyptWe introduce fuzzy almost continuous mapping, fuzzy weakly continuous mapping, fuzzy compactness, fuzzy almost compactness, and fuzzy near compactness in intuitionistic fuzzy topological space in view of the definition of Šostak, and study some of their properties. Also, we investigate the behavior of fuzzy compactness under several types of fuzzy continuous mappings.http://dx.doi.org/10.1155/IJMMS.2005.19 |
| spellingShingle | A. A. Ramadan S. E. Abbas A. A. Abd El-Latif Compactness in intuitionistic fuzzy topological spaces International Journal of Mathematics and Mathematical Sciences |
| title | Compactness in intuitionistic fuzzy topological spaces |
| title_full | Compactness in intuitionistic fuzzy topological spaces |
| title_fullStr | Compactness in intuitionistic fuzzy topological spaces |
| title_full_unstemmed | Compactness in intuitionistic fuzzy topological spaces |
| title_short | Compactness in intuitionistic fuzzy topological spaces |
| title_sort | compactness in intuitionistic fuzzy topological spaces |
| url | http://dx.doi.org/10.1155/IJMMS.2005.19 |
| work_keys_str_mv | AT aaramadan compactnessinintuitionisticfuzzytopologicalspaces AT seabbas compactnessinintuitionisticfuzzytopologicalspaces AT aaabdellatif compactnessinintuitionisticfuzzytopologicalspaces |