Additive generation of some classes of finitely-valued t–conorms

J. Martín, G. Mayor, J. Monreal.

This paper deals with the problem of the additive generation of triangular conorms defined on a finite totally ordered set. We obtain a generalization of the known result about the existence of an additive generator for any divisible t-conorm by considering ordinal sums of t-conorms belonging to a Lukasiewicz-like class, and after defining a new method to construct t-conorms by a nesting procedure, we study the existence of additive generators for t-conorms obtained from nesting appropriate t-conorms in the basic maximum, drastic and Lukasiewicz t-conorms.

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