Net-convergence and weak separation axioms in (L,M)-fuzzy topological molecular lattices
In this paper, we used the concept of (L,M)-fuzzy remote neighborhood system to study and establish the convergence theory of molecular nets. Next, we introduce the Ti-axioms (i = −1,0,1,2) in (L,M)-fuzzy topological molecular lattices, and discuss some of their characterizations. Finally, we show t...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2013-10-01
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| Series: | Journal of the Egyptian Mathematical Society |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110256X13000321 |
| _version_ | 1819135822512783360 |
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| author | Kamal El-Saady A. Ghareeb |
| author_facet | Kamal El-Saady A. Ghareeb |
| author_sort | Kamal El-Saady |
| collection | DOAJ |
| description | In this paper, we used the concept of (L,M)-fuzzy remote neighborhood system to study and establish the convergence theory of molecular nets. Next, we introduce the Ti-axioms (i = −1,0,1,2) in (L,M)-fuzzy topological molecular lattices, and discuss some of their characterizations. Finally, we show that the Ti-axioms (i = −1,0,1,2) are preserved under homeomorphisms. |
| first_indexed | 2024-12-22T10:25:11Z |
| format | Article |
| id | doaj.art-e2b6a46ac82549f0aa87e2ea2d766bfc |
| institution | Directory Open Access Journal |
| issn | 1110-256X |
| language | English |
| last_indexed | 2024-12-22T10:25:11Z |
| publishDate | 2013-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of the Egyptian Mathematical Society |
| spelling | doaj.art-e2b6a46ac82549f0aa87e2ea2d766bfc2022-12-21T18:29:31ZengSpringerOpenJournal of the Egyptian Mathematical Society1110-256X2013-10-0121330531010.1016/j.joems.2013.03.003Net-convergence and weak separation axioms in (L,M)-fuzzy topological molecular latticesKamal El-Saady0A. Ghareeb1Department of Mathematics, Faculty of Science at Qena, South Valley University, Qena 83523, EgyptDepartment of Mathematics, Faculty of Science at Qena, South Valley University, Qena 83523, EgyptIn this paper, we used the concept of (L,M)-fuzzy remote neighborhood system to study and establish the convergence theory of molecular nets. Next, we introduce the Ti-axioms (i = −1,0,1,2) in (L,M)-fuzzy topological molecular lattices, and discuss some of their characterizations. Finally, we show that the Ti-axioms (i = −1,0,1,2) are preserved under homeomorphisms.http://www.sciencedirect.com/science/article/pii/S1110256X13000321Co-topologyTopological molecular latticesFuzzy remote neighborhood systems |
| spellingShingle | Kamal El-Saady A. Ghareeb Net-convergence and weak separation axioms in (L,M)-fuzzy topological molecular lattices Journal of the Egyptian Mathematical Society Co-topology Topological molecular lattices Fuzzy remote neighborhood systems |
| title | Net-convergence and weak separation axioms in (L,M)-fuzzy topological molecular lattices |
| title_full | Net-convergence and weak separation axioms in (L,M)-fuzzy topological molecular lattices |
| title_fullStr | Net-convergence and weak separation axioms in (L,M)-fuzzy topological molecular lattices |
| title_full_unstemmed | Net-convergence and weak separation axioms in (L,M)-fuzzy topological molecular lattices |
| title_short | Net-convergence and weak separation axioms in (L,M)-fuzzy topological molecular lattices |
| title_sort | net convergence and weak separation axioms in l m fuzzy topological molecular lattices |
| topic | Co-topology Topological molecular lattices Fuzzy remote neighborhood systems |
| url | http://www.sciencedirect.com/science/article/pii/S1110256X13000321 |
| work_keys_str_mv | AT kamalelsaady netconvergenceandweakseparationaxiomsinlmfuzzytopologicalmolecularlattices AT aghareeb netconvergenceandweakseparationaxiomsinlmfuzzytopologicalmolecularlattices |