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

Yunqiang Yin, Jianming Zhan, Xiaokun Huang
2012 Mathematica Slovaca  
AbstractIn 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.
doi:10.2478/s12175-012-0004-2 fatcat:fiidik57vrb77lyjfsgm6ddpsu