Measurement of Countable Compactness and Lindelöf Property in RL-Fuzzy Topological Spaces
Based on the concepts of pseudocomplement of L-subsets and the implication operator where L is a completely distributive lattice with order-reversing involution, the definition of countable RL-fuzzy compactness degree and the Lindelöf property degree of an L-subset in RL-fuzzy topology are introduce...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/6627372 |
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| _version_ | 1832547675555233792 |
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| author | Xiongwei Zhang Ibtesam Alshammari A. Ghareeb |
| author_facet | Xiongwei Zhang Ibtesam Alshammari A. Ghareeb |
| author_sort | Xiongwei Zhang |
| collection | DOAJ |
| description | Based on the concepts of pseudocomplement of L-subsets and the implication operator where L is a completely distributive lattice with order-reversing involution, the definition of countable RL-fuzzy compactness degree and the Lindelöf property degree of an L-subset in RL-fuzzy topology are introduced and characterized. Since L-fuzzy topology in the sense of Kubiak and Šostak is a special case of RL-fuzzy topology, the degrees of RL-fuzzy compactness and the Lindelöf property are generalizations of the corresponding degrees in L-fuzzy topology. |
| format | Article |
| id | doaj-art-ea9ee8e002554f03982c3b0abae089d0 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-ea9ee8e002554f03982c3b0abae089d02025-02-03T06:43:55ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/66273726627372Measurement of Countable Compactness and Lindelöf Property in RL-Fuzzy Topological SpacesXiongwei Zhang0Ibtesam Alshammari1A. Ghareeb2School of Mathematics and Statistics, Yulin University, Yulin 719000, ChinaDepartment of Mathematics, Faculty of Science, University of Hafr Al Batin, Hafr Al Batin 31991, Saudi ArabiaDepartment of Mathematics, Faculty of Science, South Valley University, Qena, EgyptBased on the concepts of pseudocomplement of L-subsets and the implication operator where L is a completely distributive lattice with order-reversing involution, the definition of countable RL-fuzzy compactness degree and the Lindelöf property degree of an L-subset in RL-fuzzy topology are introduced and characterized. Since L-fuzzy topology in the sense of Kubiak and Šostak is a special case of RL-fuzzy topology, the degrees of RL-fuzzy compactness and the Lindelöf property are generalizations of the corresponding degrees in L-fuzzy topology.http://dx.doi.org/10.1155/2021/6627372 |
| spellingShingle | Xiongwei Zhang Ibtesam Alshammari A. Ghareeb Measurement of Countable Compactness and Lindelöf Property in RL-Fuzzy Topological Spaces Complexity |
| title | Measurement of Countable Compactness and Lindelöf Property in RL-Fuzzy Topological Spaces |
| title_full | Measurement of Countable Compactness and Lindelöf Property in RL-Fuzzy Topological Spaces |
| title_fullStr | Measurement of Countable Compactness and Lindelöf Property in RL-Fuzzy Topological Spaces |
| title_full_unstemmed | Measurement of Countable Compactness and Lindelöf Property in RL-Fuzzy Topological Spaces |
| title_short | Measurement of Countable Compactness and Lindelöf Property in RL-Fuzzy Topological Spaces |
| title_sort | measurement of countable compactness and lindelof property in rl fuzzy topological spaces |
| url | http://dx.doi.org/10.1155/2021/6627372 |
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