%0 Journal Article
%T Approximation of a Fuzzy Function by Using Radial Basis Functions Interpolation
%J International Journal of Mathematical Modelling & Computations
%I Islamic Azad University, Central Tehran Branch
%Z 2228-6225
%A Firouzdor, Reza
%A Amirfakhrian, Majid
%D 2017
%\ 11/01/2017
%V 7
%N 4 (FALL)
%P 299-307
%! Approximation of a Fuzzy Function by Using Radial Basis Functions Interpolation
%K Radial Basis Function interpolation
%K fuzzy function
%K fuzzy-valued function
%K an approximation of a fuzzy function
%R
%X In the present paper, Radial Basis Function interpolations are applied to approximate a fuzzy function $tilde{f}:Rrightarrow mathcal{F}(R)$, 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.
%U http://ijm2c.iauctb.ac.ir/article_663724_ce48161f971bb5d8d6495499424c47cf.pdf