A method for constructing non-t-representable intuitionistic fuzzy t-norms satisfying the residuation principle
Glad Deschrijver, Etienne E. Kerre · Ghent University Academic Bibliography (Ghent University) · 2003
Intuitionistic fuzzy sets constitute an extension of fuzzy sets giving both a membership degree and a non-membership degree, whose sum must be smaller than or equal to 1. In fuzzy set theory, an important class of triangular norms is the class of those that satisfy the residuation principle. In this paper we give a construction for intuitionistic fuzzy t-norms satisfying the residuation principle which are not t-representable.