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Note on generalized neighborhoods structures in fuzzy bitopological spaces


Citation

Ahmed Alharbi, Ahlam and Kilicman, Adem (2023) Note on generalized neighborhoods structures in fuzzy bitopological spaces. European Journal of Pure and Applied Mathematics, 16 (3). pp. 1980-1990. ISSN 1307-5543

Abstract

This article's main aim is to study the concepts of the generalized neighborhood and generalized quasi-neighborhood in fuzzy bitopological spaces. It also introduces fundamental theorems for determining the relationships between them. Additionally, some significant examples were examined to demonstrate the significance of the interconnections, some theorems were also introduced to study some main properties of neighborhood structures. Finally, we also studied the concepts of closure, interior, and each of their critical theories and properties by generalized neighborhood systems in fuzzy bitopological spaces.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
DOI Number: https://doi.org/10.29020/nybg.ejpam.v16i3.4808
Publisher: New York Business Global LLC
Keywords: Fuzzy bitopological spaces $(fbts)$; Fuzzy generalized closed sets $(g − closed); Fuzzy closure operator ($cl)$; Fuzzy interior operator $(int)$; Fuzzy generalized neigborhood $(N^{g\varphi })$; fuzzy generalized quasi neigborhood $(N^{g\varphi Q})$; Industry, Innovation and Infrastructure
Depositing User: Ms. Che Wa Zakaria
Date Deposited: 11 Oct 2024 08:33
Last Modified: 11 Oct 2024 08:33
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.29020/nybg.ejpam.v16i3.4808
URI: http://psasir.upm.edu.my/id/eprint/108745
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