Application of radial basis functions in solving fuzzy integral equations

被引：5

作者：

Asari, Sh. S. ^{[1
]}

Amirfakhrian, M. ^{[1
]}

Chakraverty, S. ^{[2
]}

机构：

[1] Islamic Azad Univ, Cent Tehran Branch, Dept Math, Tehran 1416894351, Iran

[2] Natl Inst Technol, Dept Math, Rourkela 769008, Orissa, India

来源：

NEURAL COMPUTING & APPLICATIONS | 2019年 / 31卷 / 10期

关键词：

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

D O I：

10.1007/s00521-018-3459-4

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

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.

引用

页码：6373 / 6381

页数：9

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