Supra Generalized Closed Soft Sets with Respect to an Soft Ideal in Supra Soft Topological Spaces

Abstract

Abstract:The concept of soft ideal was first introduced by Kandil et al. [13]. In 1999, Molodtsov [22] introduced the concept of soft sets as a general mathematical tool for dealing with uncertain objects. The concept of generalized closed soft sets in soft topological spaces was introduced by Kannan [15] in 2012. The notions of supra soft topological space were first introduced by Kandil et al. [14]. In this paper, we introduce the concept of supra generalized closed soft sets(supra g-closed soft for short) in a supra topological space (X, µ, E) and study their properties in detail. Also, we introduce the concept of supra generalized closed soft sets with respect to a soft ideal (supra-Ĩg-closed soft for short) in a supra topological space (X, µ, E) and study their properties in detail, which is the extension of the concept of supra generalized closed soft sets.

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