The equivalence of uninorms induced by the U-partial order

In this paper, some properties of an order induced by uninorms are investigated. In thisaim, the set of incomparable elements with respect to the U-partial order for any uninormis introduced and studied. Also, by defining such an order, an equivalence relation on theclass of uninorms is defined and this equivalence is deeply investigated. Finally, another setof incomparable elements with respect to the U-partial order for any uninorm is introducedand studied.