Fuzzy Inverse Compactness
We introduce definitions of fuzzy inverse compactness, fuzzy inverse countable compactness, and fuzzy inverse Lindelöfness on arbitrary 𝐿-fuzzy sets in 𝐿-fuzzy topological spaces. We prove that the proposed definitions are good extensions of the corresponding concepts in ordinary topology and obtain...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2008-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2008/436570 |
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| author | Halis Aygün A. Arzu Bural S. R. T. Kudri |
| author_facet | Halis Aygün A. Arzu Bural S. R. T. Kudri |
| author_sort | Halis Aygün |
| collection | DOAJ |
| description | We introduce definitions of fuzzy inverse compactness, fuzzy inverse countable compactness, and fuzzy inverse Lindelöfness on arbitrary 𝐿-fuzzy sets in 𝐿-fuzzy topological spaces. We prove that the proposed definitions are good extensions of the corresponding concepts in ordinary topology and obtain different characterizations of fuzzy inverse compactness. |
| format | Article |
| id | doaj-art-4d9999a02b8e48e1a95acbd5b3acce14 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2008-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-4d9999a02b8e48e1a95acbd5b3acce142025-02-03T06:01:17ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252008-01-01200810.1155/2008/436570436570Fuzzy Inverse CompactnessHalis Aygün0A. Arzu Bural1S. R. T. Kudri2Department of Mathematics, Faculty of Arts and Sciences, Kocaeli University, Kocaeli 41380, TurkeyDepartment of Mathematics, Faculty of Education, Kocaeli University, Kocaeli 41380, TurkeyDepartment of Mathematics, Federal University of Parana, P.O. Box 019081, Curitiba, PR 81531-990, BrazilWe introduce definitions of fuzzy inverse compactness, fuzzy inverse countable compactness, and fuzzy inverse Lindelöfness on arbitrary 𝐿-fuzzy sets in 𝐿-fuzzy topological spaces. We prove that the proposed definitions are good extensions of the corresponding concepts in ordinary topology and obtain different characterizations of fuzzy inverse compactness.http://dx.doi.org/10.1155/2008/436570 |
| spellingShingle | Halis Aygün A. Arzu Bural S. R. T. Kudri Fuzzy Inverse Compactness International Journal of Mathematics and Mathematical Sciences |
| title | Fuzzy Inverse Compactness |
| title_full | Fuzzy Inverse Compactness |
| title_fullStr | Fuzzy Inverse Compactness |
| title_full_unstemmed | Fuzzy Inverse Compactness |
| title_short | Fuzzy Inverse Compactness |
| title_sort | fuzzy inverse compactness |
| url | http://dx.doi.org/10.1155/2008/436570 |
| work_keys_str_mv | AT halisaygun fuzzyinversecompactness AT aarzubural fuzzyinversecompactness AT srtkudri fuzzyinversecompactness |