A Stronger Novel Form of Soft Semi-Open Set

Abstract

In this paper, we introduce the concept of a soft [Formula: see text]-open set. We show that the class of soft [Formula: see text]-open sets lies strictly between the classes of [Formula: see text]-open sets (respectively, soft [Formula: see text]-open) and soft semi-open sets. Additionally, we provide several adequate criteria for the equivalence between soft [Formula: see text]-open sets and each of [Formula: see text]-open sets and soft semi-open sets. Moreover, we demonstrate that the family of soft [Formula: see text]-open sets is a supra soft topology. We study the relationships between soft [Formula: see text]-open sets and other types of soft sets such as soft open, soft pre-open, soft [Formula: see text]-open, soft [Formula: see text]-open, soft [Formula: see text]-open, soft [Formula: see text]-open and soft [Formula: see text]-open. Also, we study the behavior of soft [Formula: see text]-open sets under some soft operators. Finally, we clarify the correspondence between the classes of soft [Formula: see text]-open sets in a soft topological space and in its soft topological subspaces.