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.

Keywords

Radial basis functions interpolation Inverse multi-quadric function Fuzzy integral equation Fuzzy number 

Notes

Compliance with ethical standards

Conflict of interest

All authors declare that they have no conflict of interest.

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Copyright information

© The Natural Computing Applications Forum 2018

Authors and Affiliations

  1. 1.Department of MathematicsIslamic Azad University, Central Tehran BranchTehranIran
  2. 2.Department of MathematicsNational Institute of TechnologyRourkelaIndia

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