A View on Connectedness and Compactness in Fuzzy Soft Bitopological Spaces

Sayed, A. F.

doi:10.29020/nybg.ejpam.v14i3.3980

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2024

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“…Also, delves into their interrelationships and highlights important theories and counterexamples. Moreover, because the generalized closed sets have many applications in a range of topological concepts, such as neighborhoods, which are discussed and explained in detail in reference [4], they were applied to connectedness as in [3], also to functions as in [5], but we aim to apply them to another topological topic, that is compactness. It provides better characterizations of fuzzy openness and fuzzy compactness and allows for more precise characterizations, which are important properties in fuzzy bitopology.…”

Section: Introductionmentioning

confidence: 99%

On Generalized Compactness in Fuzzy Bitopological Spaces

Ahmed Alharbi,

Kilicman

2024

Eur. J. Pure Appl. Math.

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The main objective of this research is to study some types of generalized closed sets in fuzzy bitopology including $(i,j)-g\alpha-cld$, $(i,j)-gs-cld$, $(i,j)-gp-cld$, and $(i,j)-g\beta-cld$. 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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Section: Introductionmentioning

confidence: 99%