Covering Fuzzy Rough Sets via Variable Precision
Lately, covering fuzzy rough sets via variable precision according to a fuzzy γ-neighborhood were established by Zhan et al. model. Also, Ma et al. gave the definition of complementary fuzzy γ-neighborhood with reflexivity. In a related context, we used the concepts by Ma et al. to construct three n...
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Format: | Article |
Language: | English |
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Wiley
2021-01-01
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Series: | Journal of Mathematics |
Online Access: | http://dx.doi.org/10.1155/2021/5525766 |
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author | Mohammed Atef A. A. Azzam |
author_facet | Mohammed Atef A. A. Azzam |
author_sort | Mohammed Atef |
collection | DOAJ |
description | Lately, covering fuzzy rough sets via variable precision according to a fuzzy γ-neighborhood were established by Zhan et al. model. Also, Ma et al. gave the definition of complementary fuzzy γ-neighborhood with reflexivity. In a related context, we used the concepts by Ma et al. to construct three new kinds of covering-based variable precision fuzzy rough sets. Furthermore, we establish the relevant characteristics. Also, we study the relationships between Zhan’s model and our three models. Finally, we introduce a MADM approach to make a decision on a real problem. |
format | Article |
id | doaj-art-781395e7e3e64bdc816eac49972b95d4 |
institution | Kabale University |
issn | 2314-4629 2314-4785 |
language | English |
publishDate | 2021-01-01 |
publisher | Wiley |
record_format | Article |
series | Journal of Mathematics |
spelling | doaj-art-781395e7e3e64bdc816eac49972b95d42025-02-03T06:47:04ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/55257665525766Covering Fuzzy Rough Sets via Variable PrecisionMohammed Atef0A. A. Azzam1Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, Menoufia, EgyptDepartment of Mathematics, Faculty of Science and Humanities, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi ArabiaLately, covering fuzzy rough sets via variable precision according to a fuzzy γ-neighborhood were established by Zhan et al. model. Also, Ma et al. gave the definition of complementary fuzzy γ-neighborhood with reflexivity. In a related context, we used the concepts by Ma et al. to construct three new kinds of covering-based variable precision fuzzy rough sets. Furthermore, we establish the relevant characteristics. Also, we study the relationships between Zhan’s model and our three models. Finally, we introduce a MADM approach to make a decision on a real problem.http://dx.doi.org/10.1155/2021/5525766 |
spellingShingle | Mohammed Atef A. A. Azzam Covering Fuzzy Rough Sets via Variable Precision Journal of Mathematics |
title | Covering Fuzzy Rough Sets via Variable Precision |
title_full | Covering Fuzzy Rough Sets via Variable Precision |
title_fullStr | Covering Fuzzy Rough Sets via Variable Precision |
title_full_unstemmed | Covering Fuzzy Rough Sets via Variable Precision |
title_short | Covering Fuzzy Rough Sets via Variable Precision |
title_sort | covering fuzzy rough sets via variable precision |
url | http://dx.doi.org/10.1155/2021/5525766 |
work_keys_str_mv | AT mohammedatef coveringfuzzyroughsetsviavariableprecision AT aaazzam coveringfuzzyroughsetsviavariableprecision |