Decompositions of Some Types of Supra Soft Sets and Soft Continuity

S. A. El-Sheikh; A. M. Abd El-latif

doi:https://doi.org/10.14445/22315373/IJMTT-V9P504

International Journal of Mathematics Trends and Technology

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Volume 9 | Number 1 | Year 2014 | Article Id. IJMTT-V9P504 | DOI : https://doi.org/10.14445/22315373/IJMTT-V9P504

Decompositions of Some Types of Supra Soft Sets and Soft Continuity

S. A. El-Sheikh , A. M. Abd El-latif

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.

Keywords

Soft set, Soft topological space, Soft interior, Soft closure, Open soft, Closed soft, Supra pre-open soft set, Supra semi-open soft set, Supra pre-continuous soft functions, Supra semi-continuous soft functions.

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Citation :

S. A. El-Sheikh , A. M. Abd El-latif, "Decompositions of Some Types of Supra Soft Sets and Soft Continuity," International Journal of Mathematics Trends and Technology (IJMTT), vol. 9, no. 1, pp. 37-56, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V9P504