Triangular norms on the real unit square.
Bernard De Baets, Radko Mesiar · Ghent University Academic Bibliography (Ghent University) · 1999
T norms were introduced by Schweizer and Sklar see e g in the framework of probabilistic metric spaces and are based on a notion used by Menger in or der to extend the triangle inequality in the de nition of metric spaces towards probabilistic metric spaces They have been used extensively for de ning the in tersection of fuzzy sets and for modelling the logical and in fuzzy logic Continuous t norms on the real unit interval have been completely characterized as or dinal sums of continuous Archimedean t norms The structure of non continuous t norms is not known yet