<b>sβ<sub>s</sub>- Open Sets and sβ<sub>s</sub>- Continuous in Soft Topological Spaces</b>

Our work introduces the notion of -open set. This class of - open sets is not directly comparable to the categories of soft open, -closed. We demonstrate that the category of -open sets lies strictly between the class of -open sets and -open sets. Additionally, we investigate the connections that exist between -open sets along with other kinds of soft sets. Moreover, we provide several criteria that are sufficient for determining the equivalence between -open sets and every one of -open sets and -open sets. Also, according to our findings, the family of -open sets is a supra soft topology. Furthermore, we make it clear the correlation that exists between the respective categories of -open sets in a soft topological space and in its soft topological subspace. Finally, the class of -continuous function is introduced, it is main properties are studied and derive some of the properties of these soft functions under the soft composition of soft functions.

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Publication Details

Journal
Ibn AL- Haitham Journal For Pure and Applied Science
Published
2025-10-20
DOI
https://doi.org/10.30526/38.4.4071
Primary Topic
Fuzzy and Soft Set Theory
Type
article
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article

sβs- Open Sets and sβs- Continuous in Soft Topological Spaces

Nehmat K. Ahmed, Shaymaa M. Mohammed
Ibn AL- Haitham Journal For Pure and Applied Science
Fuzzy and Soft Set Theory
article

sβs- Open Sets and sβs- Continuous in Soft Topological Spaces

Nehmat K. Ahmed, Shaymaa M. Mohammed
article en

Abstract

Our work introduces the notion of -open set. This class of - open sets is not directly comparable to the categories of soft open, -closed. We demonstrate that the category of -open sets lies strictly between the class of -open sets and -open sets. Additionally, we investigate the connections that exist between -open sets along with other kinds of soft sets. Moreover, we provide several criteria that are sufficient for determining the equivalence between -open sets and every one of -open sets and -open sets. Also, according to our findings, the family of -open sets is a supra soft topology. Furthermore, we make it clear the correlation that exists between the respective categories of -open sets in a soft topological space and in its soft topological subspace. Finally, the class of -continuous function is introduced, it is main properties are studied and derive some of the properties of these soft functions under the soft composition of soft functions.

Ibn AL- Haitham Journal For Pure and Applied ScienceVol. 38(4)
Salahaddin University-Erbil (IQ)
Openalex Percentile: Top 62%
Fuzzy and Soft Set Theory
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