Between Soft θ-Openness and Soft ω0-Openness

In this paper, we define and investigate soft ωθ-open sets as a novel type of soft set. We characterize them and demonstrate that they form a soft topology that lies strictly between the soft topologies of soft θ-open sets and soft ω0-open sets. Moreover, we show that soft ωθ-open sets and soft ω0-open sets are equivalent for soft regular spaces. Furthermore, we investigate the connections between particular types of soft sets in a given soft anti-locally countable space and the soft topological space of soft ωθ-open sets generated by it. In addition to these, we define soft ωθ,ω-sets and soft ωθ,θ-sets as two classes of sets, and via these sets, we introduce two decompositions of soft θ-open sets and soft ωθ-open sets, respectively. Finally, the relationships between these three new classes of soft sets and their analogs in general topology are examined.