Fuzzy TL-uniform spaces
The main purpose of this paper is to introduce a new structure that is a fuzzy TL-uniform space. We show that our structure generates a fuzzy topological space, precisely, a fuzzy T-locality space. Also, we deduce the concept of level uniformities of a fuzzy TL-uniformity. We connect the category of...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/25094 |
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| _version_ | 1850162426019840000 |
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| author | Khaled A. Hashem Nehad N. Morsi |
| author_facet | Khaled A. Hashem Nehad N. Morsi |
| author_sort | Khaled A. Hashem |
| collection | DOAJ |
| description | The main purpose of this paper is to introduce a new structure
that is a fuzzy TL-uniform space. We show that our structure
generates a fuzzy topological space, precisely, a fuzzy
T-locality space. Also, we deduce the concept of level
uniformities of a fuzzy TL-uniformity. We connect the category
of fuzzy TL-uniform spaces with the category of uniform spaces.
We establish a necessary and sufficient condition, under which a
fuzzy TL-uniformity is probabilistic pseudometrizable. Finally,
we define a functor from the category of fuzzy TL-uniform spaces
into the category of fuzzy T-locality spaces and we show that it
preserves optimal lifts. |
| format | Article |
| id | doaj-art-fe784cda84b243498927ca9d1dd11ea6 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-fe784cda84b243498927ca9d1dd11ea62025-08-20T02:22:34ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/2509425094Fuzzy TL-uniform spacesKhaled A. Hashem0Nehad N. Morsi1Department of Mathematics, Faculty of Science, Benha University, Benha, EgyptBasic & Applied Science Department, Arab Academy for Sciences & Technology and Maritime Transport, P.O. Box 2033, Al-Horraya, Heliopolis, Cairo, EgyptThe main purpose of this paper is to introduce a new structure that is a fuzzy TL-uniform space. We show that our structure generates a fuzzy topological space, precisely, a fuzzy T-locality space. Also, we deduce the concept of level uniformities of a fuzzy TL-uniformity. We connect the category of fuzzy TL-uniform spaces with the category of uniform spaces. We establish a necessary and sufficient condition, under which a fuzzy TL-uniformity is probabilistic pseudometrizable. Finally, we define a functor from the category of fuzzy TL-uniform spaces into the category of fuzzy T-locality spaces and we show that it preserves optimal lifts.http://dx.doi.org/10.1155/IJMMS/2006/25094 |
| spellingShingle | Khaled A. Hashem Nehad N. Morsi Fuzzy TL-uniform spaces International Journal of Mathematics and Mathematical Sciences |
| title | Fuzzy TL-uniform spaces |
| title_full | Fuzzy TL-uniform spaces |
| title_fullStr | Fuzzy TL-uniform spaces |
| title_full_unstemmed | Fuzzy TL-uniform spaces |
| title_short | Fuzzy TL-uniform spaces |
| title_sort | fuzzy tl uniform spaces |
| url | http://dx.doi.org/10.1155/IJMMS/2006/25094 |
| work_keys_str_mv | AT khaledahashem fuzzytluniformspaces AT nehadnmorsi fuzzytluniformspaces |