K-l(p)-Lipschitz t-norms
k-l(p)-Lipschitz t-norms are shown to be ordinal sums of k-l(p)-Lipschitz Archimedean t-norms. Additive generators of k-l(p)-Lipschitz t-norms are characterized by means of k-p-convexity. Several necessary and sufficient conditions for a function to be a k-p-convex additive generator are also given. (C) 2007 Elsevier Inc. All rights reserved.
additive generator l(p) norm lipschitz property triangular norm