A New Class of Hypergroupoids Associated to Binary Relations
Mario de Salvo and Giovanni Lo Faro
In this paper a systematic study of certain (partial) hypergroupoids HR associated to binary relations is made. Various characterizations of (partial) semi-hypergroups are found, by means of algebraic properties of the relations and boolean matrices. The number of (partial) semi-hypergroups HR, also up to isomorphisms, is determined when the size is less or equal to five.