Application of radial basis functions in solving fuzzy integral equations

Application of radial basis functions in solving fuzzy integral equations

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 Ψ C = G is obtained. Then target function would be approximated by defining coefficient vec...

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Veröffentlicht in:Neural computing & applications 2019-10, Vol.31 (10), p.6373-6381
Hauptverfasser: Asari, Sh. S., Amirfakhrian, M., Chakraverty, S.
Format: Artikel
Sprache:eng
Schlagworte:
Artificial Intelligence
Computational Biology/Bioinformatics
Computational Science and Engineering
Computer Science
Data Mining and Knowledge Discovery
Fuzzy systems
Image Processing and Computer Vision
Integral equations
Mathematical analysis
Numerical methods
Original Article
Probability and Statistics in Computer Science
Radial basis function
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Zusammenfassung: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 Ψ 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.
ISSN:0941-0643
1433-3058
DOI:10.1007/s00521-018-3459-4