On Generalized Compactness in Fuzzy Bitopological Spaces

Authors

  • Ahlam Ahmed Alharbi
  • Adem Kilicman University Putra Malaysia

DOI:

https://doi.org/10.29020/nybg.ejpam.v17i1.5027

Keywords:

Fuzzy bitopological spaces (fbts) 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), and fuzzy generalized compact ((i,j)−g−compact).

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 generalized compactness in fuzzy bitopological spaces and their types and explores the relationships between these concepts, their important theories, and some relevant counterexamples. The results established in this paper are new in the domain of fuzzy bitopology.

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Published

2024-01-31

Issue

Vol. 17 No. 1: (January 2024)

Section

Nonlinear Analysis

License

Copyright (c) 2024 European Journal of Pure and Applied Mathematics

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How to Cite

On Generalized Compactness in Fuzzy Bitopological Spaces. (2024). European Journal of Pure and Applied Mathematics, 17(1), 30-41. https://doi.org/10.29020/nybg.ejpam.v17i1.5027