Approximation of a Fuzzy Function by Using Radial Basis Functions Interpolation

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.

Approximation of a Fuzzy Function by Using Radial Basis Functions Interpolation Keywords:

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