Dominance of Ordinal Sums of TL and TP.
Susanne Saminger‐Platz, Peter Sarkoci · 2007
Dominance is a relation on operations which are defined on a common poset. We treat the dominance relation on the set of ordinal sum t-norms which involve either exclusively the ̷Lukasiewicz t-norm or exclusively the product t-norm as summand operations. We show that in both cases, the question of dominance can be reduced to a simple property of the idempotent elements of the dominating t-norm. We finally discuss the obtained results and possibilities of their generalization.