The notion of (m, n)-ary hyperring was introduced by Davvaz at the 10th AHA
congress [9], as the strong distributive structure. In this article we
generalize it, by introducing the notion of (m, n)-ary hyperring with
inclusive distributivity. We present construction of (m, n)-ary hyperrings
associated with binary relations on semigroup. We also state the condition
under which there exists (m, n)-ary hyperring of multiendomorphisms for a
starting m-ary hypergroup (H, f ). Finaly, we analyze connections between the
obtained classes of (m, n)-ary hyperrings.
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