The history of triangular norms started with the paper "Statistical metrics" Menger 1942]. The main idea of Karl Menger was to construct metric spaces where probability distributions rather than numbers are used in order to de- scribe the distance between two elements of the space in question. Triangular norms (t-norms for short) naturally came into the picture in the course of the generalization of the classical triangle inequality to this more general set- ting. The original set of axioms for t-norms was considerably weaker, including among others also the functions which are known today...
The history of triangular norms started with the paper "Statistical metrics" Menger 1942]. The main idea of Karl Menger was to construct metric space...