Triangular norms and conorms on the set of discrete fuzzy numbers

Abstract

In this paper, we study different methods to construct triangular operations (t-norms and t-conorms) on the bounded distributive lattice AL1, of discrete fuzzy numbers whose support is a subset of consecutive natural numbers on a finite chain L of consecutive natural numbers. Moreover, we propose a method to compare two t-norms (t-conorms) defined on AL1. © Springer-Verlag Berlin Heidelberg 2010.