Some Applications of Soft ∂-Closed Sets in Soft Closure Spaces.

This study aims to present some applications of the notion of soft ∂-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∂-continuous
and S∂-closed maps and present their various properties with some supported examples. Moreover,
we propose two separation properties, which utilize the notion of S∂-closed sets and explore their
characteristics.