PROCEEDINGS IPMU '08
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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