The combination of two elements in a group structure is an element, while, hypergroup, the non-empty set. use hypergroups appears mainly certain subclasses. For instance, polygroups, which are special subcategory hypergroups, used many branches mathematics and basic sciences. On other hand, multi-fuzzy set, element universal set may occur more than once with possibly same or different membershi...

In this paper, we introduce and study the notion of a partial n-hypergroupoid, associated with a binary relation. Some important results concerning Rosenberg partial hypergroupoids, induced by relations, are generalized to the case of n-hypergroupoids. Then, n-hypergroups associated with union, intersection, products of relations and also mutually associative n-hypergroupoids are analyzed. Fina...

We study closure properties with respect to products for hypergroupoids, semihypergroups and hypergroups associated to binary relations. Using some basic category theory tools, from a certain point, the investigation turns into studying closure properties with respect to direct products for some classes of monounary multialgebras.