Fuzzy systems with overlapping Gaussian concepts: Approximation properties in Sobolev norms
The approximating capabilities of fuzzy systems with overlapping Gaussian concepts are considered. The target function is assumed to be sampled either on a regular grid 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.
scientific article; zbMATH DE number 1864829