DocumentCode
3161482
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
Volume
2
fYear
1999
fDate
22-25 Aug. 1999
Firstpage
1024
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Fuzzy Systems Conference Proceedings, 1999. FUZZ-IEEE '99. 1999 IEEE International
Conference_Location
Seoul, South Korea
ISSN
1098-7584
Print_ISBN
0-7803-5406-0
Type
conf
DOI
10.1109/FUZZY.1999.793093
Filename
793093
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