Decompositions of Some Types of Supra Soft Sets and Soft Continuity

Abstract

In this paper we introduce the notion of supra soft topological spaces. We extend the notion of  -operation, pre-open soft sets,  -open soft sets, semi-open soft sets and  -open soft sets to such spaces and study their properties and the relations between them. Also, we introduce the concepts of supra pre (resp.  - , semi-,  -) continuous soft functions on these spaces and study some of their properties. We show that a mapping between two soft topological spaces is supra  -continuous soft if and only if it is supra pre-continuous soft and supra semi -continuous soft. The importance of this approach is that, the class of supra soft topological spaces is wider and more general than the class of soft topological spaces.

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