Generalized Rough Neighborhood Approximations and Related Topological Approaches

Amgad Salem Salama; Abdelfattah A. El-Atik; Ali Hussein Salem; Osamy Embaby; Mona Samy Bondok

doi:10.20944/preprints202308.1036.v1

Version 1 : Received: 13 August 2023 / Approved: 14 August 2023 / Online: 15 August 2023 (02:42:31 CEST)

How to cite: Salama, A.S.; El-Atik, A.A.; Salem, A.H.; Embaby, O.; Bondok, M.S. Generalized Rough Neighborhood Approximations and Related Topological Approaches. Preprints 2023, 2023081036. https://doi.org/10.20944/preprints202308.1036.v1 Salama, A.S.; El-Atik, A.A.; Salem, A.H.; Embaby, O.; Bondok, M.S. Generalized Rough Neighborhood Approximations and Related Topological Approaches. Preprints 2023, 2023081036. https://doi.org/10.20944/preprints202308.1036.v1

Abstract

This work aims to generate some types of M_(j )–neighborhoods. Relationships among these M_(j )-neighborhoods and some other types of neighborhoods are discussed. Additionally, M_(j )-lower, M_(j )-upper approximations and M_(j )-accuracy in terms of M_(j )-neighborhoods are presented. Their properties, with some examples, are investigated. Finally, We addressed the comparisons among M_(j )approach and other approaches.

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Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Generalized Rough Neighborhood Approximations and Related Topological Approaches

Abstract

Keywords

Subject

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