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A novel fuzzy neural network and its approximation capability 被引量:2

A novel fuzzy neural network and its approximation capability
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摘要 The polygonal fuzzy numbers are employed to define a new fuzzy arithmetic. A novel ex-tension principle is also introduced for the increasing function σ:R→R. Thus it is convenient to con-struct a fuzzy neural network model with succinct learning algorithms. Such a system possesses some universal approximation capabilities, that is, the corresponding three layer feedforward fuzzy neural networks can be universal approximators to the continuously increasing fuzzy functions. The polygonal fuzzy numbers are employed to define a new fuzzy arithmetic. A novel ex-tension principle is also introduced for the increasing function σ:R→R. Thus it is convenient to con-struct a fuzzy neural network model with succinct learning algorithms. Such a system possesses some universal approximation capabilities, that is, the corresponding three layer feedforward fuzzy neural networks can be universal approximators to the continuously increasing fuzzy functions.
作者 刘普寅
出处 《Science in China(Series F)》 2001年第3期184-194,共11页 中国科学(F辑英文版)
基金 The author would like to thank Professor H. Wang for helpful suggestions This work was supported by the National Natural Science Foundation of China( Grants Nos. 69974006 and 69974041) .
关键词 n polygonal fuzzy number fuzzy neural network universal approximator fuzzy arithmetic. n polygonal fuzzy number, fuzzy neural network, universal approximator, fuzzy arithmetic.
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