Generalized fuzzy soft quasi separation axioms in generalized fuzzy soft topological spaces

Generalized fuzzy soft quasi separation axioms in generalized fuzzy soft topological spaces

Abstract: In this paper, generalized fuzzy soft quasi separation axioms in generalized fuzzy soft fuzzy topological such as generalized fuzzy soft quasi $R_i-$spaces $(i=0,1)$, generalized fuzzy soft quasi regular (normal)-spaces, and generalized fuzzy soft quasi $T_i-$spaces $(i=0,1,2,3,4)$ are defined and studied by using generalized fuzzy soft quasi-coincident relation and generalized fuzzy soft quasi -neighborhood system. We discuss its characterizations and relationship among them. Also, generalized fuzzy soft hereditary property are discussed.

Keywords: Soft set, fuzzy soft set, generalized fuzzy soft set, generalized fuzzy soft topology, generalized fuzzy soft quasi $R_i-$spaces $(i=0,1)$, generalized fuzzy soft quasi regular (normal)-spaces, generalized fuzzy soft quasi $T_i-$spaces $(i=0,1,2,3,4)$.