Abstract
ABSTRACT This is the second part of a two-part paper which discusses the structure of idempotent uninorms on bounded lattices such that the set of all points incomparable with the neutral element contains at most one point. In Part I we have completely characterized idempotent uninorms on bounded lattices such that all points are comparable with the neutral element. Moreover, we have shown some basic properties and observations on idempotent uninorms on bounded lattices with one point incomparable with the neutral element and we have completely characterized the class of internal uninorms on such lattices. In the present Part II we characterize two special classes of idempotent uninorms on bounded lattices with one point incomparable with the neutral element, including idempotent uninorms with annihilator incomparable with the neutral element, and by composition of these special cases we show the complete characterization of idempotent uninorms on such lattices.
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