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Generalized compactness in fuzzy bitopological spaces


Citation

Alharbi, Ahlam Ahmed and Kilicman, Adem (2024) Generalized compactness in fuzzy bitopological spaces. European Journal of Pure and Applied Mathematics, 17 (1). pp. 30-41. ISSN 1307-5543

Abstract

The main objective of this research is to study some types of generalized closed sets in fuzzy bitopology including (i, j)-gα-cld, (i, j)-gs-cld, (i, j)-gp-cld, and (i, j)-gβ-cld. We then present basic theorems for determining their relationships and explain their properties, such as closure and interior. In addition, there are many interesting counterexamples. The last part of the research focuses on compactness as an application of the types of fuzzy generalized closed sets in fuzzy bitopological spaces and their types and explores the relationships between these concepts, their important theories, and some relevant counterexamples. This approach provides a better characterization of fuzzy compactness and allows for more precise characterization in fuzzy bitopology. The results of this study are new to the domain of fuzzy bitopology.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
DOI Number: https://doi.org/10.29020/nybg.ejpam.v17i1.5027
Publisher: New York Business Global
Keywords: Fuzzy bitopological spaces (f bts); Fuzzy generalized closed sets ((i, j)−g − cld); Fuzzy generalized closure operator ((i, j) − g − cl); Fuzzy generalized interior operator ((i, j) − g − int); Fuzzy generalized continuous ((i, j) − g − conts); Fuzzy generalized irresolute ((i, j) − g − irres); Fuzzy generalized compact ((i, j) − g − compact)
Depositing User: Mr. Mohamad Syahrul Nizam Md Ishak
Date Deposited: 12 May 2024 10:31
Last Modified: 12 May 2024 10:31
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.29020/nybg.ejpam.v17i1.5027
URI: http://psasir.upm.edu.my/id/eprint/106249
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