Fuzzy soft separation axioms in  fuzzy soft topological spaces.

Mohammed Saleh Malfi; F.H. Khedr; M. A. Abd Allah

Mohammed Saleh Malfi Assiut University, Assiut, Eygpt.
F.H. Khedr Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516
M. A. Abd Allah Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516

Keywords: Fuzzy set, soft set; fuzzy soft set, fuzzy soft topology, fuzzy soft separation axioms; fuzzy soft 𝑇𝑖 −spaces (𝑖 = 0,1,2), fuzzy soft regular; fuzzy soft normal, fuzzy soft topological property.

Abstract

Fuzzy soft separation axioms was introduced by Mahanta and Das ([5]) using the definitions of a `fuzzy soft point' and `the complement of a fuzzy soft point is a fuzzy soft point', and `distinct of fuzzy soft points' in there sense. In this paper we, introduce fuzzy soft separation axioms in terms of the modified definitions of a `fuzzy soft point', the complement of a fuzzy soft point is a fuzzy soft set' and `distinct of fuzzy soft points'([7]). Also, we study some of their properties. Finally, we discuss fuzzy soft topological property for such spaces.

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