使用模糊规则的最优函数逼近

18th International Conference of the North American Fuzzy Information Processing Society - NAFIPS (Cat. No.99TH8397) Pub Date : 1999-06-10 DOI:10.1109/NAFIPS.1999.781679

D. Lisin, M. Gennert

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引用次数: 9

摘要

Kosko(1994)建设性地证明了模糊系统是全称逼近器。然而，该证明并没有提供一种算法来构建一个模糊系统，该系统可以用最小数量的模糊规则将解析定义的函数逼近到任意精度。我们描述了一种方法，利用函数的解析定义中包含的信息，如它的一阶导数和二阶导数，来建立一个近似它的模糊系统。

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Optimal function approximation using fuzzy rules

It has been constructively proven by Kosko (1994) that fuzzy systems are universal approximators. However, the proof does not provide an algorithm to build a fuzzy system that approximates an analytically defined function to an arbitrary precision with a minimum number of fuzzy rules. We describe a method that utilizes the information contained in the analytic definition of a function, such as its first and second derivatives, to build a fuzzy system that approximates it.

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18th International Conference of the North American Fuzzy Information Processing Society - NAFIPS (Cat. No.99TH8397)

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