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.
Daniel Kuhn, Zhi Chen, Wolfram Wiesemann
Daniel Kuhn, Soroosh Shafieezadeh Abadeh, Bahar Taskesen