Hyperclones Determined by Total-Parts of Hyper-relations

This paper studies sets  of hyper-operations preserving relations on power set without emptyset. For a particular property of a relation, such a set  is hyperclone. We consider relations having total part exactly from Rosenberg´s classes of relations.  By investigating nontrivial equivalence relations,  central relations and regular relations as total part, we show that sets of hyper-operations preserving such hyper-relations are maximal hyperclones.