Determination of the smallest-greatest uni-nullnorms and null-uninorms on an arbitrary bounded lattice L

Abstract

In this paper, we study uni-nullnorms and null-uninorms on bounded lattices, which are generalizations of uninorms, nullnorms, t-norms and t-conorms. We construct two uni-nullnorms and two null-uninorms on a bounded lattice L. We determine the smallest-greatest uni-nullnorms with 2-neutral element {e, 1}(a) and the smallest-greatest null-uninorms with 2-neutral element {0,e}(a) by using these construction methods.