Approximation of a Fuzzy Function by Using Radial Basis Functions Interpolation

International Journal of Mathematical Modelling & Computations

مقاله 6، دوره 7، 4 (FALL) - شماره پیاپی 28، بهمن 2017، صفحه 299-307   

نوع مقاله: Full Length Article

نویسندگان

Reza Firouzdor¹؛ Majid Amirfakhrian^{* 2}

¹university

²IAUCTB

چکیده

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.

کلیدواژه‌ها

Radial Basis Function interpolation؛ fuzzy function؛ fuzzy-valued function؛ an approximation of a fuzzy function