Dominance of Ordinal Sums of TL and TP

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.

• Type: Conference
• Year: 2007
• Where: EUSFLAT
• Authors: Susanne Saminger, Peter Sarkoci
• Keywords: Common Poset, Dominance Relation, EUSFLAT 2007, Ordinal Sum T-norms