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Application of radial basis functions in solving fuzzy integral equations

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Abstract

In the present paper, a numerical method based on radial basis functions (RBFs) is proposed to approximate the solution of fuzzy integral equations. By applying RBF in fuzzy integral equation, a linear system \(\Psi C=G \) is obtained. Then target function would be approximated by defining coefficient vector C. Error estimation of the method has been shown which is based on exponential convergence rates of RBFs. Finally, validity of the method is illustrated by some examples.

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Authors and Affiliations

  1. Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, 14168-94351, Iran

    Sh. S. Asari & M. Amirfakhrian

  2. Department of Mathematics, National Institute of Technology, Rourkela, Orissa, 769008, India

    S. Chakraverty

Authors
  1. Sh. S. Asari
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  2. M. Amirfakhrian
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  3. S. Chakraverty
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Correspondence to Sh. S. Asari, M. Amirfakhrian or S. Chakraverty.

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Asari, S.S., Amirfakhrian, M. & Chakraverty, S. Application of radial basis functions in solving fuzzy integral equations. Neural Comput & Applic 31, 6373–6381 (2019). https://doi.org/10.1007/s00521-018-3459-4

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  • DOI: https://doi.org/10.1007/s00521-018-3459-4

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