Approximation of a Fuzzy Function by Using Radial Basis Functions Interpolation

Document Type: Full Length Article

Authors

1 university

2 IAUCTB

Abstract

In the present paper, Radial Basis Function interpolations are applied to approximate a fuzzy function
$\tilde{f}:\R\rightarrow \mathcal{F}(\R)$,
on a discrete point set $X=\{x_1,x_2,\ldots,x_n\}$, by a fuzzy-valued function $\tilde{S}$. RBFs are based on linear combinations of terms which include a single univariate function. Applying RBF to approximate a fuzzy function, a linear system will be obtained which by defining coefficient vector, target function will be approximated. Finally for showing the efficiency of the method we give some numerical examples.

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