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Some Applications of Soft \(\partial\)-Closed Sets in Soft Closure Spaces
Ist Teil von
Communications in Mathematics and Applications, 2023-09, Vol.14 (2), p.481-492
Ort / Verlag
Kingsville: RGN Publications
Erscheinungsjahr
2023
Quelle
EZB Electronic Journals Library
Beschreibungen/Notizen
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.