A novel fuzzy neural network and its approximation capability
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The polygonal fuzzy numbers are employed to define a new fuzzy arithmetic. A novel extension principle is also introduced for the increasing function σ: ℝ → ℝ. Thus it is convenient to construct 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.
Keywordsn polygonal fuzzy number fuzzy neural network universal approximator fuzzy arithmetic
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