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System of fully fuzzy nonlinear equations with fuzzy neural network

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Abstract

In this paper, a new approach for solving system of fully fuzzy nonlinear equations based on fuzzy neural network is presented. This method can also lead to improve numerical methods. In this work, an architecture of fuzzy neural networks is also proposed to find a fuzzy root of a system of fuzzy nonlinear equations (if exists) by introducing a learning algorithm. We propose a learning algorithm from the cost function for adjusting of fuzzy weights. Finally, we illustrate our approach by numerical examples.

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Authors and Affiliations

  1. Department of Mathematics, Firoozkooh Branch, Islamic Azad University, Firoozkooh, Iran

    Mahmood Otadi

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  1. Mahmood Otadi
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Correspondence to Mahmood Otadi.

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Otadi, M. System of fully fuzzy nonlinear equations with fuzzy neural network. Neural Comput & Applic 21 (Suppl 1), 369–376 (2012). https://doi.org/10.1007/s00521-012-0970-x

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  • DOI: https://doi.org/10.1007/s00521-012-0970-x

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