Generalized fuzzy n-ary subhypergroups of a commutative n-ary hypergroup

Mathematica Slovaca

Xiaokun Huang¹  Jianming Zhan¹  Yunqiang Yin¹ 

关键词: n-ary hypergroups;    (invertible) (∈;    ∈∨q)-fuzzy n-ary hypergroups;    n-ary quotient hypergroups;    homomorphism;   

DOI  :  10.2478/s12175-012-0004-2

学科分类：数学（综合）

来源: Slovenska Akademia Vied * Matematicky Ustav / Slovak Academy of Sciences, Mathematical Institute

【 摘 要 】

In this paper, by means of a new idea, the concept of (invertible) (∈,∈∨q)-fuzzy n-ary subhypergroups of a commutative n-ary hypergroup is introduced and some related properties are investigated. A kind of n-ary quotient hypergroup by an (∈, ∈∨q)-fuzzy n-ary subhypergroup is provided and the relationships among (∈, ∈∨q)-fuzzy n-ary subhypergroups, n-ary quotient hypergroups and homomorphism are investigated. Several isomorphism theories of n-ary hypergroups are established.

【 授权许可】

Unknown