ABSTRACT
In this paper we consider the ordinal sum of the summands of t-norms, t-conorms, and fuzzy negations and prove some new results about them. In particular, we provide some conditions in order to guarantee that when the summands are De Morgan triples their ordinal sums also are De Morgan triple. We also proved that De Morgan laws are preserved for the the action of automorphisms and N-duality.
Keywords:
t-norm; t-conorm; fuzzy negation; De Morgan triples; ordinal sum