Approximation of k-Lipschitz t-norms by strict and nilpotent k-Lipschitz t-norms.

Some topological properties of k-Lipschitz triangular norms are investigated, generalizing the results known for the case [image omitted] . For any fixed [image omitted]  the class of all k-Lipschitz t-norms is shown to be compact. Moreover, it is shown that the set of all k-Lipschitz t-norms is the closure of both the set of all strict k-Lipschitz t-norms and the set of all nilpotent k-Lipschitz t-norms. [ABSTRACT FROM AUTHOR]