descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 19 Mar 2024 English Publisher:WileyJournal:Journal of Mathematics, volume 2,024, pages 1-10 (issn: 2314-4629, eissn: 2314-4785,

Authors: Ismail T. Shbair; Amgad Salem Salama; O. A. Embaby; Abd El Fattah El Atik;

doi: 10.1155/2024/2214422 , 10.60692/b7ywg-nfd83 , 10.60692/8bcbk-g7j56

Some Topological Approaches of Rough Sets through Minimal Neighborhoods and Decision Making

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Abstract

Rough set has an important role to deal with uncertainty objects. The aim of this article is to introduce some kinds of generalization for rough sets through minimal neighborhoods using special kinds of binary relations. Moreover, four different types of dual approximation operators will be constructed in terms of minimal neighborhoods. The comparison between these types of approximation operators is discussed. Some new kinds of topological structures induced by minimal neighborhoods are established and some of their properties are studied. Finally, we give a comparison between these topologies that help for determining the major components of COVID-19 infections. In this application, the components of infections help the expert in decision making in medicine.

Related Organizations

Tanta University
Egypt

Keywords

Topology (electrical circuits), Rough Sets Theory and Applications, Probabilistic Rough Sets, Computational Mechanics, Shape Optimization, Structural Analysis, Engineering, Computational Theory and Mathematics, Combinatorics, Computer Science, Physical Sciences, Shape Matching and Object Recognition, QA1-939, FOS: Mathematics, Computer Vision and Pattern Recognition, Rough Sets, Feature Selection, Isogeometric Analysis in Computational Engineering, Mathematics

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