On Neutrosophic Canonical Hypergroups and Neutrosophic Hyperrings

A neutrosophic hyperstructure is an algebraic structure generated by a given hyperstructure H and an indeterminacy factor I under the hyperoperation(s) of H. The objective of this paper is to study canonical hypergroups and hyperrings in which addition and multiplication are hyperoperations in a neutrosophic environment. Some basic properties of neutrosophic canonical hypergroups and neutrosophic hyperrings are presented. Quotient neutrosophic canonical hypergroups and neutrosophic hyperrings are presented.