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Gradient Projection Method and Equality Index in Recurrent Neural Fuzzy Network

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Fuzzy Sets and Systems — IFSA 2003 (IFSA 2003)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2715))

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Abstract

A novel learning algorithm for recurrent neurofuzzy networks is introduced in this paper. The learning algorithm uses the gradient projection method to update the network weights. Moreover, the core of the learning algorithm uses equality index as the performance measure to be optimized. Equality index is especially important because its properties reflect the fuzzy set-based structure of the neural network and nature of learning. The neural network topology is built with fuzzy neuron units and performs neural processing consistent with fuzzy system methodology. Therefore neural processing and learning are fully embodied within fuzzy set theory. The performance recurrent neurofuzzy network is verified via examples of nonlinear system modeling and time series prediction. The results confirm the effectiveness of the neurofuzzy network.

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Ballini, R., Gomide, F. (2003). Gradient Projection Method and Equality Index in Recurrent Neural Fuzzy Network. In: Bilgiç, T., De Baets, B., Kaynak, O. (eds) Fuzzy Sets and Systems — IFSA 2003. IFSA 2003. Lecture Notes in Computer Science, vol 2715. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44967-1_70

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  • DOI: https://doi.org/10.1007/3-540-44967-1_70

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40383-8

  • Online ISBN: 978-3-540-44967-6

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