APPLICATIONS OF SOFT g# SEMI CLOSED SETS IN SOFT TOPOLOGICAL SPACES

In this research work, we introduce and investigate four innovative types of soft spaces, pushing the boundaries of traditional spatial concepts. These new types of soft spaces are named as soft T-b space, soft T-b(#) space, soft T-b(##) space and soft(alpha)T(b)(#) space. Through rigorous analysis and experimentation, we uncover and propose distinct characteristics that define and differentiate these spaces. In this research work, we have established that every soft T-1/2 space is a soft T-alpha(b)# space, every soft T-b space is a soft T-alpha(b)# space, every soft T-b(#) space is a soft T-alpha(b)# space, every soft T-b space is a soft T-b(#) space, every soft T-b(#) space is a soft T-b(##) space, every soft $T_{\frac{1}{2}}$ space is a soft T-#(b) space and every soft T-b space is a soft #T-b space.