@article {
author = {Firouzdor, Reza and Amirfakhrian, Majid},
title = {Approximation of a Fuzzy Function by Using Radial Basis Functions Interpolation},
journal = {International Journal of Mathematical Modelling & Computations},
volume = {7},
number = {4 (FALL)},
pages = {299-307},
year = {2017},
publisher = {Islamic Azad University, Central tehran Branch},
issn = {2228-6225},
eissn = {2228-6233},
doi = {},
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.},
keywords = {Radial Basis Function interpolation,fuzzy function,fuzzy-valued function,an approximation of a fuzzy function},
url = {http://ijm2c.iauctb.ac.ir/article_663724.html},
eprint = {http://ijm2c.iauctb.ac.ir/article_663724_ce48161f971bb5d8d6495499424c47cf.pdf}
}