Pretopological Spaces Induced by Rough Sets and Their Applications

Authors

  • Abd El-Fattah Azzam Department of Mathematics, Faculty of Science and Humanities, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi Arabia
  • Roshdey Mareay Kafrelsheikh University
  • Gehad M. Abd-Elhamed Department of Mathematics, Faculty of Science and Humanities, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi Arabia
  • M. Aldawood Department of Mathematics, Faculty of Science and Humanities, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi Arabia
  • Manal E. Ali Department of Physics and Engineering Mathematics, Faculty of Engineering, Kafrelsheikh University, Kafrelsheikh, 33516, Egypt

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i2.5831

Keywords:

Topological space, Pretopological spaces, Rough sets.

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.

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Published

2025-05-01

Issue

Vol. 18 No. 2: (April 2025)

Section

Topology

License

Copyright (c) 2025 Abd El-Fattah Azzam, Roshdey Mareay, Gehad M. Abd-Elhamed, M. Aldawood, Manal E. Ali

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How to Cite

Pretopological Spaces Induced by Rough Sets and Their Applications. (2025). European Journal of Pure and Applied Mathematics, 18(2), 5831. https://doi.org/10.29020/nybg.ejpam.v18i2.5831