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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Main Authors: A.A. Ramadan, A.A. Abd El-latif
Format: Article
Language:English
Published: SpringerOpen 2016-10-01
Series:Journal of the Egyptian Mathematical Society
Subjects:
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.
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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