New results on soft generalized topological spaces

This work aims to introduce and discuss two new classes of separation properties namely, soft generalized \(R_0\) and \(R_1\) in a soft generalized topological space defined on an initial universe set, by using the notions of soft \(g\)-open sets and soft \(g\)-closure operator. We investigate some of their properties and characterizations. We further, investigate the relationships between different generalized structures of soft topology, providing some illustrative examples and results. Additionally, we present connections between these separation properties and those in some generated topologies. Furthermore, we show that being \({SGR}_i\), \(i=0,1\) are soft generalized topological properties.