A New Approach to (∈, ∈ ∨q)-Fuzzy Subgroup Theory via Soft Sets
Yıldıray Çelik *
Department of Mathematics, Ordu University, Ordu, Turkey.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we give the notion of (∈, ∈ ∨q)-fuzzy soft group and introduce its some properties and structural characteristics. Moreover, the definition of (∈, ∈ ∨q)-fuzzy normal soft group is given and some of its basic properties are studied. Also, the theorem regarding of homomorphic image and homomorphic pre-image of a (∈, ∈ ∨q)-fuzzy soft group under a fuzzy soft function is given.
Keywords: Fuzzy soft set, Fuzzy soft group, (∈, ∈ ∨q)-fuzzy soft group.