On Neutrosophic Canonical Hypergroups and Neutrosophic Hyperrings

Abstract

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 hyper- groups and hyperrings in which addition and multiplica- tion are hyperoperations in a neutrosophic environment. Some basic properties of neutrosophic canonical hyper- groups and neutrosophic hyperrings are presented. Quo- tient neutrosophic canonical hypergroups and neutro- sophic hyperrings are presented.