Fuzzy systems with overlapping Gaussian concepts: Approximation properties in Sobolev norms (Q1855477)
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scientific article; zbMATH DE number 1864829
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fuzzy systems with overlapping Gaussian concepts: Approximation properties in Sobolev norms |
scientific article; zbMATH DE number 1864829 |
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Fuzzy systems with overlapping Gaussian concepts: Approximation properties in Sobolev norms (English)
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5 February 2003
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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.
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learning
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fuzzy system models
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neuro-fuzzy systems
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radial basis functions
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reproducing kernel Hilbert spaces
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approximation
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derivatives
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