Title :
Sobolev approximation by means of fuzzy systems with overlapping Gaussian concepts
Author :
Ferrari-Trecate, G. ; Rovatti, R.
Author_Institution :
Inst. fur Autom., Swiss Fed. Inst. of Technol., Zurich, Switzerland
Abstract :
In this paper the approximating capabilities of fuzzy systems with overlapping Gaussian concepts are considered. 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. Moreover, the connection with radial basis functions approximations is highlighted.
Keywords :
Gaussian processes; Hilbert spaces; function approximation; fuzzy set theory; Mamdani systems; Sobolev approximation; fuzzy systems; overlapping Gaussian concepts; radial basis functions approximations; system coefficients; target function; Convergence; Finite element methods; Function approximation; Fuzzy systems; Gaussian approximation; Gaussian processes; Hilbert space; Kernel; Mathematical model; Sampling methods;
Conference_Titel :
Fuzzy Systems Conference Proceedings, 1999. FUZZ-IEEE '99. 1999 IEEE International
Conference_Location :
Seoul, South Korea
Print_ISBN :
0-7803-5406-0
DOI :
10.1109/FUZZY.1999.793093
