On Some Types of Covering-Based ℐ,T-Fuzzy Rough Sets and Their Applications

The notions of the fuzzy β-minimal and maximal descriptions were established by Yang et al. (Yang and Hu, 2016 and 2019). Recently, Zhang et al. (Zhang et al. 2019) presented the fuzzy covering via ℐ,T-fuzzy rough set model (FCℐTFRS), and Jiang et al. (Jiang et al., in 2019) introduced the covering...

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Main Authors: Mohammed Atef, José Carlos R. Alcantud, Hussain AlSalman, Abdu Gumaei
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/5240501
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author Mohammed Atef
José Carlos R. Alcantud
Hussain AlSalman
Abdu Gumaei
author_facet Mohammed Atef
José Carlos R. Alcantud
Hussain AlSalman
Abdu Gumaei
author_sort Mohammed Atef
collection DOAJ
description The notions of the fuzzy β-minimal and maximal descriptions were established by Yang et al. (Yang and Hu, 2016 and 2019). Recently, Zhang et al. (Zhang et al. 2019) presented the fuzzy covering via ℐ,T-fuzzy rough set model (FCℐTFRS), and Jiang et al. (Jiang et al., in 2019) introduced the covering through variable precision ℐ,T-fuzzy rough sets (CVPℐTFRS). To generalize these models in (Jiang et al., 2019 and Zhang et al. 2019), that is, to improve the lower approximation and reduce the upper approximation, the present paper constructs eight novel models of an FCℐTFRS based on fuzzy β-minimal (maximal) descriptions. Characterizations of these models are discussed. Further, eight types of CVPℐTFRS are introduced, and we investigate the related properties. Relationships among these models are also proposed. Finally, we illustrate the above study with a numerical example that also describes its practical application.
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institution Kabale University
issn 2314-4785
language English
publishDate 2021-01-01
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record_format Article
series Journal of Mathematics
spelling doaj-art-2525ef5d7924433e833acdcbc84e7ee52025-02-03T06:46:01ZengWileyJournal of Mathematics2314-47852021-01-01202110.1155/2021/5240501On Some Types of Covering-Based ℐ,T-Fuzzy Rough Sets and Their ApplicationsMohammed Atef0José Carlos R. Alcantud1Hussain AlSalman2Abdu Gumaei3Mathematics and Computer Science DepartmentBORDA Research UnitDepartment of Computer ScienceComputer Science DepartmentThe notions of the fuzzy β-minimal and maximal descriptions were established by Yang et al. (Yang and Hu, 2016 and 2019). Recently, Zhang et al. (Zhang et al. 2019) presented the fuzzy covering via ℐ,T-fuzzy rough set model (FCℐTFRS), and Jiang et al. (Jiang et al., in 2019) introduced the covering through variable precision ℐ,T-fuzzy rough sets (CVPℐTFRS). To generalize these models in (Jiang et al., 2019 and Zhang et al. 2019), that is, to improve the lower approximation and reduce the upper approximation, the present paper constructs eight novel models of an FCℐTFRS based on fuzzy β-minimal (maximal) descriptions. Characterizations of these models are discussed. Further, eight types of CVPℐTFRS are introduced, and we investigate the related properties. Relationships among these models are also proposed. Finally, we illustrate the above study with a numerical example that also describes its practical application.http://dx.doi.org/10.1155/2021/5240501
spellingShingle Mohammed Atef
José Carlos R. Alcantud
Hussain AlSalman
Abdu Gumaei
On Some Types of Covering-Based ℐ,T-Fuzzy Rough Sets and Their Applications
Journal of Mathematics
title On Some Types of Covering-Based ℐ,T-Fuzzy Rough Sets and Their Applications
title_full On Some Types of Covering-Based ℐ,T-Fuzzy Rough Sets and Their Applications
title_fullStr On Some Types of Covering-Based ℐ,T-Fuzzy Rough Sets and Their Applications
title_full_unstemmed On Some Types of Covering-Based ℐ,T-Fuzzy Rough Sets and Their Applications
title_short On Some Types of Covering-Based ℐ,T-Fuzzy Rough Sets and Their Applications
title_sort on some types of covering based i t fuzzy rough sets and their applications
url http://dx.doi.org/10.1155/2021/5240501
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AT hussainalsalman onsometypesofcoveringbaseditfuzzyroughsetsandtheirapplications
AT abdugumaei onsometypesofcoveringbaseditfuzzyroughsetsandtheirapplications