Continuous Mapping of Covering Approximation Spaces and Topologies Induced by Arbitrary Covering Relations

In rough set theory, there are many covering approximation spaces, so how to classify covering approximation spaces has become a hot issue. In this paper, we propose the concepts of a covering approximation <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display=&...

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Bibliographic Details
Main Authors: Xiao Shang, Pei Wang, Ronghuo Wu, Hanyu E
Format: Article
Language:English
Published: MDPI AG 2023-09-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/15/10/1808
Description
Summary:In rough set theory, there are many covering approximation spaces, so how to classify covering approximation spaces has become a hot issue. In this paper, we propose the concepts of a covering approximation <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>T</mi><mn>1</mn></msub></semantics></math></inline-formula>-space, <i>F</i>-symmetry, covering rough continuous mapping, and covering rough homeomorphism mapping, and we obtain some interesting results. We have used the above definitions and results to classify covering approximation spaces. Finally, we find a new method for constructing topologies, obtain some properties, and provide an example to illustrate our method’s similarities and differences with other construction methods.
ISSN:2073-8994