Publication details


G. Ferrari-Trecate and R. Rovatti. Fuzzy systems with overlapping Gaussian concepts: Approximation properties in Sobolev norms. Fuzzy Sets and Systems , 130(2):137--145, 2002.


In this paper the approximating capabilities of fuzzy systems with overlapping Gaussian concepts are considered. The target function is assumed to be sampled either on a regular gird or according to a uniform probability density. By exploiting a connection with Radial Basis Functions approximators, a new method for the computation of the system coefficients is provided, showing that it guarantees uniform approximation of the derivatives of the target function.