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

Title:
Some Topological Approaches of Rough Sets through Minimal Neighborhoods and Decision Making
Authors:
Ismail T. Shbair, Amgad Salem Salama, O. A. Embaby, Abd El Fattah El Atik
Source:
Journal of Mathematics, Vol 2024 (2024)
Publisher Information:
Wiley, 2024.
Publication Year:
2024
Subject Terms:
Topology (electrical circuits), Rough Sets Theory and Applications, Probabilistic Rough Sets, Computational Mechanics, Shape Optimization, 02 engineering and technology, Structural Analysis, 3. Good health, Engineering, Computational Theory and Mathematics, Combinatorics, Computer Science, Physical Sciences, Shape Matching and Object Recognition, QA1-939, 0202 electrical engineering, electronic engineering, information engineering, FOS: Mathematics, Computer Vision and Pattern Recognition, Rough Sets, Feature Selection, Isogeometric Analysis in Computational Engineering, Mathematics
Document Type:
Fachzeitschrift Article<br />Other literature type
Language:
English
ISSN:
2314-4785
2314-4629
DOI:
10.1155/2024/2214422
DOI:
10.60692/b7ywg-nfd83
DOI:
10.60692/8bcbk-g7j56
Access URL:
https://doaj.org/article/237d9eddbf62469da43db83ade40e239
Rights:
CC BY
Accession Number:
edsair.doi.dedup.....682e1686c524de1c3300b9a8d05df11d
Database:
OpenAIRE

Weitere Informationen

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.