On (L,M)-Double Fuzzy Filter Spaces
We give in this paper the definitions of (L,M)-double fuzzy filter base and (L,M)-double fuzzy filter structures where L and M are strictly two-sided commutative quantales, and we also investigate the relations between them. Moreover, we propose second-order image and preimage operators of (L,M)-dou...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2018/3871282 |
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| author | A. A. Abd El-Latif H. Aygün V. Çetkin |
| author_facet | A. A. Abd El-Latif H. Aygün V. Çetkin |
| author_sort | A. A. Abd El-Latif |
| collection | DOAJ |
| description | We give in this paper the definitions of (L,M)-double fuzzy filter base and (L,M)-double fuzzy filter structures where L and M are strictly two-sided commutative quantales, and we also investigate the relations between them. Moreover, we propose second-order image and preimage operators of (L,M)-double fuzzy filter base and study some of its fundamental properties. Finally, we handle the given structures in the categorical aspect. For instance, we show that the category (L,M)-DFIL of (L,M)-double fuzzy filter spaces and filter maps between these spaces is a topological category over the category SET. |
| format | Article |
| id | doaj-art-3f1eedee4d514cfe958b1267f997f2a2 |
| institution | OA Journals |
| issn | 1687-7101 1687-711X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-3f1eedee4d514cfe958b1267f997f2a22025-08-20T02:08:07ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2018-01-01201810.1155/2018/38712823871282On (L,M)-Double Fuzzy Filter SpacesA. A. Abd El-Latif0H. Aygün1V. Çetkin2Department of Mathematics, Faculty of Science and Arts at Balgarn, P.O. Box 60, University of Bisha, Sabt Al-Alaya 61985, Saudi ArabiaDepartment of Mathematics, Kocaeli University, 41380 Kocaeli, TurkeyDepartment of Mathematics, Kocaeli University, 41380 Kocaeli, TurkeyWe give in this paper the definitions of (L,M)-double fuzzy filter base and (L,M)-double fuzzy filter structures where L and M are strictly two-sided commutative quantales, and we also investigate the relations between them. Moreover, we propose second-order image and preimage operators of (L,M)-double fuzzy filter base and study some of its fundamental properties. Finally, we handle the given structures in the categorical aspect. For instance, we show that the category (L,M)-DFIL of (L,M)-double fuzzy filter spaces and filter maps between these spaces is a topological category over the category SET.http://dx.doi.org/10.1155/2018/3871282 |
| spellingShingle | A. A. Abd El-Latif H. Aygün V. Çetkin On (L,M)-Double Fuzzy Filter Spaces Advances in Fuzzy Systems |
| title | On (L,M)-Double Fuzzy Filter Spaces |
| title_full | On (L,M)-Double Fuzzy Filter Spaces |
| title_fullStr | On (L,M)-Double Fuzzy Filter Spaces |
| title_full_unstemmed | On (L,M)-Double Fuzzy Filter Spaces |
| title_short | On (L,M)-Double Fuzzy Filter Spaces |
| title_sort | on l m double fuzzy filter spaces |
| url | http://dx.doi.org/10.1155/2018/3871282 |
| work_keys_str_mv | AT aaabdellatif onlmdoublefuzzyfilterspaces AT haygun onlmdoublefuzzyfilterspaces AT vcetkin onlmdoublefuzzyfilterspaces |