Some aspects of triangular norms

Abstract

Triangular norms are an indispensable tool for the interpretation of the conjunction in fuzzy logics and, subsequently, for the intersection of fuzzy sets. They are, however, interesting mathematical objects for themselves. Triangular norms, as we use them today, they also play an important role in decision-making. In this memory, we have studied some algebraic, analytic and logic aspects of triangular norms. As application, we have studied triangular orders (t-order for short), they are partial orders on a bounded lattice. Obtained from a t-norm on this bounded lattice.