Soft supra strongly generalized closed sets

Abstract

The notions of supra soft topological space were first introduced by El-Sheikh et al. [5]. In this paper, we introduce the concept of soft supra strongly generalized closed sets (soft supra strongly g-closed for short) in a supra soft topological space (X, μ, E) and study their properties in detail, which is a generalization to the notions of soft strongly g-closed sets [15] and supra generalized closed sets [11]. Here, we used the concept of supra soft closure, supra soft interior and supra soft open sets to define soft supra strongly generalized closed sets. The relationship between soft supra strongly generalized closed sets and other existing soft sets have been investigated. Furthermore, the union and intersection of two soft supra strongly generalized closed (resp. open) sets have been obtained. It has been pointed out in this paper that many of these parameters studied have, in fact, applications in real world situations and therefore I believe that this is an extra justification for the work conducted in this paper.