A Novel Framework for Generalizations of Soft Open Sets and Its Applications via Soft Topologies

Soft topological spaces (STSs) have received a lot of attention recently, and numerous soft ideas been created from differing viewpoints. Herein, we put forth new class generalizations open sets called “weakly semi-open subsets” following an approach inspired by the components set. This opens door to reformulating existing concepts examining their behaviors. First, deliberate main structural properties this detect its relationships with previous assistance suitable counterexamples. In addition, probe some features that are obtained under specific stipulations elucidate forgoing missing in class. Next, initiate interior closure operators respect classes weakly semi-closed subsets look at fundamental characteristics. Ultimately, pursue concept semi-continuity furnish descriptions. By counterexample, elaborate characterizations continuous functions invalid for semi-continuous functions.