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

Nehmat K. Ahmed; Shaymaa M. Mohammed

doi:10.30526/38.4.4071

Authors

Nehmat K. Ahmed Department of Mathematics, College of Education, Salahaddin University, Erbil, Iraq https://orcid.org/0000-0002-7134-3348
Shaymaa M. Mohammed Department of Mathematics, College of Education, Salahaddin University, Erbil, Iraq https://orcid.org/0009-0006-7522-2953

DOI:

https://doi.org/10.30526/38.4.4071

Keywords:

soƒt β_s- open, soft β-open, soft semi-closed, soƒt β_s-continuous function

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.

Author Biographies

Nehmat K. Ahmed, Department of Mathematics, College of Education, Salahaddin University, Erbil, Iraq

MATH
Shaymaa M. Mohammed, Department of Mathematics, College of Education, Salahaddin University, Erbil, Iraq

MATH

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