β-compactness in Pythagorean fuzzy topological spaces

Ameerah Abu Suurah; Hind Alaeb

doi:10.69667/ajs.26706

β-compactness in Pythagorean fuzzy topological spaces

Authors

Ameerah Abu Suurah Department of Mathematics, Faculty of Education, Abi Issa, University of Zawia, Libya Author https://orcid.org/0009-0009-9667-2189
Hind Alaeb Department of General Sciences, Faculty of Engineering, University of Zawia, Libya Author https://orcid.org/0009-0002-2514-4353

DOI:

https://doi.org/10.69667/ajs.26706

Keywords:

Pythagorean fuzzy, Pythagorean fuzzy β-open set, Pythagorean fuzzy β-compact space

Abstract

In this paper, we introduce a new type of compact spaces called compact spaces in a Pythagorean fuzzy topological space, using Pythagorean fuzzy -β open sets. We study some of their properties and discuss the relationship between these spaces and other types of compactness. We have reached many results, such as every Pythagorean fuzzy strongly compact space that satisfies the condition "every Pythagorean fuzzy -open set of is denes" is compact.