On Some Types of Multigranulation Covering Based on Binary Relations

Recently, the notions of right and left covering rough sets were constructed by right and left neighborhoods to propose four types of multigranulation covering rough set (MGCRS) models. These models were constructed using the granulations as equivalence relations. In this paper, we introduce four ty...

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Autores principales:	Ashraf Nawar, E. A. Elsakhawy
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/4fbc229018394479ab67e01a29b8df0a
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spelling	oai:doaj.org-article:4fbc229018394479ab67e01a29b8df0a2021-11-22T01:09:29ZOn Some Types of Multigranulation Covering Based on Binary Relations2314-888810.1155/2021/1022955https://doaj.org/article/4fbc229018394479ab67e01a29b8df0a2021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/1022955https://doaj.org/toc/2314-8888Recently, the notions of right and left covering rough sets were constructed by right and left neighborhoods to propose four types of multigranulation covering rough set (MGCRS) models. These models were constructed using the granulations as equivalence relations. In this paper, we introduce four types of multigranulation covering rough set models under arbitrary relations using the q-minimal and q-maximal descriptors of objects in a given universe. We also study the properties of these new models. Thus, we explore the relationships between these models. Then, we put forward an algorithm to illustrate the method of reduction based on the presented model. Finally, we give an illustrative example to show its efficiency and importance.Ashraf NawarE. A. ElsakhawyHindawi LimitedarticleMathematicsQA1-939ENJournal of Function Spaces, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Mathematics QA1-939
spellingShingle	Mathematics QA1-939 Ashraf Nawar E. A. Elsakhawy On Some Types of Multigranulation Covering Based on Binary Relations
description	Recently, the notions of right and left covering rough sets were constructed by right and left neighborhoods to propose four types of multigranulation covering rough set (MGCRS) models. These models were constructed using the granulations as equivalence relations. In this paper, we introduce four types of multigranulation covering rough set models under arbitrary relations using the q-minimal and q-maximal descriptors of objects in a given universe. We also study the properties of these new models. Thus, we explore the relationships between these models. Then, we put forward an algorithm to illustrate the method of reduction based on the presented model. Finally, we give an illustrative example to show its efficiency and importance.
format	article
author	Ashraf Nawar E. A. Elsakhawy
author_facet	Ashraf Nawar E. A. Elsakhawy
author_sort	Ashraf Nawar
title	On Some Types of Multigranulation Covering Based on Binary Relations
title_short	On Some Types of Multigranulation Covering Based on Binary Relations
title_full	On Some Types of Multigranulation Covering Based on Binary Relations
title_fullStr	On Some Types of Multigranulation Covering Based on Binary Relations
title_full_unstemmed	On Some Types of Multigranulation Covering Based on Binary Relations
title_sort	on some types of multigranulation covering based on binary relations
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/4fbc229018394479ab67e01a29b8df0a
work_keys_str_mv	AT ashrafnawar onsometypesofmultigranulationcoveringbasedonbinaryrelations AT eaelsakhawy onsometypesofmultigranulationcoveringbasedonbinaryrelations
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On Some Types of Multigranulation Covering Based on Binary Relations

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