On Some Types of Multigranulation Covering Based on Binary Relations. (8th November 2021)

• Record Type: Journal Article
• Authors: Nawar, Ashraf; Elsakhawy, E. A.
• Other Names: Matucci Serena Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-11-08
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/1022955
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : 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.