Bioperators on soft topological spaces

To contribute to soft topology, we originate the notion of soft bioperators ỹ and ỹ’. Then, we apply them to analyze soft (ỹ, ỹ’)-open sets and study main properties. We also prove that every soft (ỹ, ỹ’)-open set is soft open; however, the converse is true only when the soft topological space is soft (ỹ, ỹ’)-regular. After that, we define and study two classes of soft closures namely Cl_{( ỹ , ỹ’ )} and Ť_{( ỹ , ỹ’ )}-Cl operators, and two classes of soft interior namely Int_{( ỹ , ỹ’ )} and τ_{( ỹ , ỹ’ )}-Int operators. Moreover, we introduce the notions of soft (ỹ, ỹ’)-g.closed sets and soft (ỹ, ỹ’)-T_½ spaces, and explore their 2 fundamental properties. In general, we explain the relationships between these notions, and give some counterexamples.