Neutrosophic Hypercompositional Structures defined by Binary Relations

Abstract

The objective of this paper is to study neutrosophic hypercompositional structures ( ) H I  arising from the hypercompositions derived from the binary relations τ on a neutrosophic set ( ) H I . We give the characterizations of τ that make ( ) H I  hypergroupoids,quasihypergroups, semihypergroups, neutrosophic hypergroupoids, neutrosophic quasihypergroups, neutrosophic semihypergroups and neutrosophic hypergroups.