Some Applications of Soft \(\partial\)-Closed Sets in Soft Closure Spaces

Authors

DOI:

https://doi.org/10.26713/cma.v14i2.2303

Keywords:

Soft set, S∂-closed set, soft closure space, S∂-continuous maps, \(S\partial\)-\(T_{{{\frac{1}{2}}}}\) and \(S\partial\)-\(T^{*}_{{{\frac{1}{2}}}}\) spaces

Abstract

This study aims to present some applications of the notion of soft \(\partial\)-closed sets in soft closure spaces, which not only generalizes classical soft closed sets but also establishes a connection with soft \(g\)-closed sets. We discuss their basic characterizations of these sets and examine their implications in soft closure spaces. Furthermore, we apply these sets to introduce the notion of \(S\partial\)-continuous and \(S\partial\)-closed maps and present their various properties with some supported examples. Moreover, we propose two separation properties, which utilize the notion of \(S\partial\)-closed sets and explore their characteristics.

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Published

18-09-2023
CITATION

How to Cite

Saleh, S., Flaih, L. R., & Jasim, K. F. (2023). Some Applications of Soft \(\partial\)-Closed Sets in Soft Closure Spaces. Communications in Mathematics and Applications, 14(2), 481–492. https://doi.org/10.26713/cma.v14i2.2303

Issue

Vol. 14 No. 2 (2023)

Section

Research Article

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