RBF Neural Network Implementation of Fuzzy Systems: Application to Time Series Modeling

  • Authors:
  • Milan Marček;Dušan Marček

  • Affiliations:
  • Faculty of Philosophy and Science, Silesian University, 746 01 0pava, Czech Republic & MEDIS Nitra, Ltd., Pri Dobrotke 659/81, 949 01 Nitra-Dražžžovce, Slovak Republic;Faculty of Philosophy and Science, Silesian University, 746 01 0pava, Czech Republic & Faculty of Management Science and Informatics, University of Zilina, 010 26 Zilina, Slovak Republic

  • Venue:
  • RSFDGrC '07 Proceedings of the 11th International Conference on Rough Sets, Fuzzy Sets, Data Mining and Granular Computing
  • Year:
  • 2009

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Abstract

At first, we discuss the basic structure of the fuzzy system as a simple yet powerful fuzzy modeling technique. Neural networks and fuzzy logic models are based on very similar underlying mathematics. The similarity between RBF networks and fuzzy models is noted in detail. Then, we propose the extension of RBF neural networks by the cloud model. Time series approximation and prediction by applying RBF neural networks or fuzzy models and comparisons between the various types of RBF networks and statistical models are discussed at length.