Categories isomorphic to (L,M)-DFTOP
The aim of this paper is to introduce the notion of (L,M)-double fuzzy quasi-coincident neighborhood system, and investigate the relationships between (L,M)-double fuzzy quasi-coincident neighborhood spaces and (L,M)-double fuzzy topological spaces in the category aspect. Also, we give a characteriz...
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Format: | Article |
Language: | English |
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SpringerOpen
2016-10-01
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Series: | Journal of the Egyptian Mathematical Society |
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Online Access: | http://www.sciencedirect.com/science/article/pii/S1110256X15000255 |
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author | A.A. Ramadan A.A. Abd El-latif |
author_facet | A.A. Ramadan A.A. Abd El-latif |
author_sort | A.A. Ramadan |
collection | DOAJ |
description | The aim of this paper is to introduce the notion of (L,M)-double fuzzy quasi-coincident neighborhood system, and investigate the relationships between (L,M)-double fuzzy quasi-coincident neighborhood spaces and (L,M)-double fuzzy topological spaces in the category aspect. Also, we give a characterization of (L,M)-DFTOP, which is called compatible antichain L-double topologies and consider the categorical connections between them. Finally, to better understand (L,M)-DFTOP, several categories were introduced. |
first_indexed | 2024-12-13T03:04:02Z |
format | Article |
id | doaj.art-3ff1fc5d8c1848c4a6f8313479f0684c |
institution | Directory Open Access Journal |
issn | 1110-256X |
language | English |
last_indexed | 2024-12-13T03:04:02Z |
publishDate | 2016-10-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of the Egyptian Mathematical Society |
spelling | doaj.art-3ff1fc5d8c1848c4a6f8313479f0684c2022-12-22T00:01:45ZengSpringerOpenJournal of the Egyptian Mathematical Society1110-256X2016-10-0124449950710.1016/j.joems.2015.02.004Categories isomorphic to (L,M)-DFTOPA.A. Ramadan0A.A. Abd El-latif1Department of Mathematics, Faculty of Science, Beni-suef University, EgyptDepartment of Mathematics, Faculty of Science and Arts at Balgarn, P.O. Box 60, Sabt Al-Alaya 61985, Bisha University, Saudi ArabiaThe aim of this paper is to introduce the notion of (L,M)-double fuzzy quasi-coincident neighborhood system, and investigate the relationships between (L,M)-double fuzzy quasi-coincident neighborhood spaces and (L,M)-double fuzzy topological spaces in the category aspect. Also, we give a characterization of (L,M)-DFTOP, which is called compatible antichain L-double topologies and consider the categorical connections between them. Finally, to better understand (L,M)-DFTOP, several categories were introduced.http://www.sciencedirect.com/science/article/pii/S1110256X15000255(L,M)-double fuzzy topology(L,M)-double fuzzy quasi-coincident neighborhood spaceIsomorphic category |
spellingShingle | A.A. Ramadan A.A. Abd El-latif Categories isomorphic to (L,M)-DFTOP Journal of the Egyptian Mathematical Society (L,M)-double fuzzy topology (L,M)-double fuzzy quasi-coincident neighborhood space Isomorphic category |
title | Categories isomorphic to (L,M)-DFTOP |
title_full | Categories isomorphic to (L,M)-DFTOP |
title_fullStr | Categories isomorphic to (L,M)-DFTOP |
title_full_unstemmed | Categories isomorphic to (L,M)-DFTOP |
title_short | Categories isomorphic to (L,M)-DFTOP |
title_sort | categories isomorphic to l m dftop |
topic | (L,M)-double fuzzy topology (L,M)-double fuzzy quasi-coincident neighborhood space Isomorphic category |
url | http://www.sciencedirect.com/science/article/pii/S1110256X15000255 |
work_keys_str_mv | AT aaramadan categoriesisomorphictolmdftop AT aaabdellatif categoriesisomorphictolmdftop |