Fuzzy systems with overlapping Gaussian concepts: approximation properties in Sobolev norms

  • Authors:
  • Giancarlo Ferrari-Trecate;Riccardo Rovatti

  • Affiliations:
  • Institut für Automatik, ETH-Swiss Federal Institute of Technology, ETHZ-ETLI 24.2, Physikstrasse 3, CH 8092 Zurich, Switzerland and Dipartimento di Informatica e Sistemistica, Università ...;D.E.I.S., Università di Bologna, Viale Risorgimento 2, 40136 Bologna, Italy

  • Venue:
  • Fuzzy Sets and Systems - Fuzzy models
  • Year:
  • 2002

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Abstract

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.