Abstract
Recently, we presented a complete representation for nullnorms on bounded lattices, a class of ordered semigroups, in terms of two order-preserving maps, a triangular conorm, a triangular norm and a conditionally associative function, which together satisfy seven conditions. In this paper, we illustrate that each of these seven conditions is independent of the other ones by rewriting the seventh condition. We also discuss in which cases the sixth or the seventh condition becomes dependent.
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