title: A new kind of fuzzy n-ary hypergroups in the framework of soft set theory.
abstract: Maji et al. introduced the concept of fuzzy soft sets as a generalization of the standard soft sets and presented an application of fuzzy soft sets in a decision making 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.
authors.affiliation: Mathematics Department of Zhoukou Normal University, Zhoukou 466001, China.
authors.forename: Hongjie
authors.initials: H
authors.lastname: Li
authors.affiliation: School of Sciences, East China Institute of Technology, Nanchang 330013, China.
authors.forename: Yunqiang
authors.initials: Y
authors.lastname: Yin
mesh_terms: D003198:Computer Simulation; D003657:Decision Making; D017143:Fuzzy Logic; D008962:Models, Theoretical; D009716:Numerical Analysis, Computer-Assisted