Some Properties of Fuzzy Supra Soft Topological Spaces

Alaa Abd El-latif

Abstract

In this paper, we introduce the notion of fuzzy supra soft topological spaces, which is a generalization to the notion of fuzzy soft topological spaces and supra soft topological spaces. Also, we consider the notion of fuzzy supra soft continuity as a generalization to fuzzy soft continuity, supported by examples and counterexamples. These examples illustrating the notions used in the paper are included. So we can see that all these concepts are independent from each other or
does implies the other. Finally, as a direct application to fuzzy supra soft topological spaces, we introduce the notion of fuzzy supra soft compact (resp. fuzzy supra soft lindel ̈of) spaces to such spaces as a generalization to fuzzy soft compactness. Furthermore, we establish some interesting properties of this notion.

Keywords

Soft fuzzy set, Fuzzy supra soft topological space, Supra fuzzy soft con- tinuous mapping, Supra fuzzy soft compactness.

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