<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.
Authors
- Nehmat K. Ahmed (ORCID: https://orcid.org/0000-0002-7134-3348)
- Shaymaa M. Mohammed (ORCID: https://orcid.org/0009-0006-7522-2953)
Institutions
- Salahaddin University-Erbil (IQ)
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
- Field-Weighted Citation Impact
- 0.00