G-Calculus-Based Compositional Rule of Inference

Abstract

We review a specific case, in which the investigated structure is a real semi-ring with pseudo-operations as a step toward investigating the problem of approximate reasoning in fuzzy systems. We focus on special-type fuzzy sets, i.e. <I>g</I> -generated quasi-triangular fuzzy numbers, and special <I>g</I> -generated t-norms and implication in fuzzy approximate reasoning.