用分段多项式模糊系统求函数的最优逼近

18th International Conference of the North American Fuzzy Information Processing Society - NAFIPS (Cat. No.99TH8397) Pub Date : 1999-06-10 DOI:10.1109/NAFIPS.1999.781681

S. Nejim

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引用次数: 2

摘要

提出了一种构造方法，用于设计具有任意精度逼近给定实连续函数的最优SISO分段多项式模糊系统。根据最优性的定义，考虑了三种情况。给出了一个例子来说明该方法，并证实了考虑多项式隶属函数的兴趣。

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Optimal approximation of functions using piecewise polynomial fuzzy systems

A constructive method for the design of an optimal SISO piecewise polynomial fuzzy system approximating a given real continuous function with arbitrary accuracy is proposed. Three cases are considered according to the definition of optimality. An example is given that illustrates the method and confirms the interest in considering polynomial membership functions.

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

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