Estudio del reductor de tipo centroide usando aproximación por polinomios de Bernstein

Abstract

This monograph aims to study the centroid type reducer for diffuse type 2 systems using Bernstein polynomials. This is possible because most methods are iterative and therefore the execution times are high for real-time applications. The Cl and Cr Constants are two constants that represent the ends of a diffuse set type 1 that are born from all the centroids embedded in a diffuse set type 2, thanks to these constants it is possible to make a reduction by centroid method. This work uses the technique of approximating 2 monotonous functions using Bernstein approximations, later obtaining the zeros of these functions which will represent the values of Cl and Cr.