Hyperstructures associated with binary relations

In this paper, we deal with the partial hyperoperation <ÕR> introduced and studied by Corsini [1]. Various characterizations of the relations R, so that (H, ÕR) is a hypergroupoid, are given by means of the associated Boolean matrices. All hypergroupoids (H, ÕR) obtained from the set H, card H=2, 3, 4 are calculated.