On Strong (i,j)-Semi∗-Gamma-Open Sets in Ideal Bitopological Space

Abstract

In this study, we introduce the concepts of $(i,j)$-semi$^{*}$-$Gamma $-open sets within the context of ideal bitopological spaces. This concept is demonstrated to be weaker than the established the notion of $(i,j)$-semi-$Gamma $-open sets. Subsequently, we define strong $(i,j)$-semi$^{*}$-$Gamma $-open sets in ideal bitopological spaces, elucidating some of their essential characteristics. Furthermore, leveraging this newly introduced concept, we establish the notions of strong $(i,j)$-semi$^{*}$-$Gamma $-interior and strong $(i,j)$-semi$^{*}$-$Gamma $-closure.