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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Main Authors: Mohammed Atef, A. A. Azzam
Format: Article
Language:English
Published: Wiley 2021-01-01
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.
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institution Kabale University
issn 2314-4629
2314-4785
language English
publishDate 2021-01-01
publisher Wiley
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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