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A novel fuzzy neural network and its approximation capability

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, Beijing Normal University, 100875, Beijing, China

    Liu Puyin

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  1. Liu Puyin
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Liu, P. A novel fuzzy neural network and its approximation capability. Sci China Ser F 44, 184–194 (2001). https://doi.org/10.1007/BF02714569

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  • DOI: https://doi.org/10.1007/BF02714569

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