A New Kind of Fuzzy n -ary Hypergroups in the Framework of Soft Set Theory

الملخص EN

Maji et al.

introduced the concept of fuzzy soft sets as a generalizationof the standard soft sets and presented an application of fuzzy soft sets in a decisionmaking problem.

The aim of this paper is to apply the concept of fuzzy soft sets to n -ary hypergroup theory.

The concepts of ( ∈ γ , ∈ γ ∨ q δ ) -fuzzy soft (invertible) n -ary subhypergroups over a commutative n -ary hypergroup are introduced and some related properties and characterizations are obtained.

The homomorphism properties of ( ∈ γ , ∈ γ ∨ q δ ) -fuzzy soft (invertible) n -ary subhypergroups are also derived.