Pretopological Spaces Induced by Rough Sets and Their Applications

In this paper, we generate pretopological spaces from a binary relation. We introduce a new approximation space by using pretopological concepts. Some properties and the comparison among different types of lower approximation and the upper approximation are studied. We introduce an application of pretopological spaces in rough approximation. some generalizations of rough sets concepts based on pretopological space are introduced.

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Publication Details

Journal
European Journal of Pure and Applied Mathematics
Published
2025-05-01
DOI
https://doi.org/10.29020/nybg.ejpam.v18i2.5831
Primary Topic
Rough Sets and Fuzzy Logic
Type
article
Field-Weighted Citation Impact
0.00

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article

Pretopological Spaces Induced by Rough Sets and Their Applications

R. Mareay, A. A. Azzam, Manal E. Ali, M. Aldawood et al.
European Journal of Pure and Applied Mathematics
Rough Sets and Fuzzy Logic
article

Pretopological Spaces Induced by Rough Sets and Their Applications

R. Mareay, A. A. Azzam, Manal E. Ali, M. Aldawood, Gehad M. Abd-Elhamed
article en

Abstract

In this paper, we generate pretopological spaces from a binary relation. We introduce a new approximation space by using pretopological concepts. Some properties and the comparison among different types of lower approximation and the upper approximation are studied. We introduce an application of pretopological spaces in rough approximation. some generalizations of rough sets concepts based on pretopological space are introduced.

European Journal of Pure and Applied MathematicsVol. 18(2)
Kafrelsheikh University (EG), Prince Sattam Bin Abdulaziz University (SA)
Prince Sattam bin Abdulaziz University
Openalex Percentile: Top 90%
Rough Sets and Fuzzy Logic
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