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

摘要

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 ton-ary hypergroup theory. The concepts of(∈γ,∈γ∨qδ)-fuzzy soft (invertible)n-ary subhypergroups over a commutativen-ary hypergroup are introduced and some related properties and characterizations are obtained. The homomorphism properties of(∈γ,∈γ∨qδ)-fuzzy soft (invertible)n-ary subhypergroups are also derived.