Title of article :
Approximation of a Fuzzy Function by Using Radial Basis Functions Interpolation
Author/Authors :
Firouzdor, R Young Researcher Elite Club - Central Tehran Branch - Islamic Azad University, Tehran , Amirfakhrian, M Department of Mathematics - Central Tehran Branch - Islamic Azad University, Tehran
Abstract :
In the present paper, Radial Basis Function interpolations are applied to
approximate a fuzzy function ~ f : R ! F(R), on a discrete point set X = fx1; x2; : : : ; xng,
by a fuzzy-valued function ~ 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 dening coecient vector, target function will be approximated.
Finally for showing the eciency of the method we give some numerical examples.
Keywords :
Radial Basis Function interpolation , Fuzzy function , Fuzzy-valued function , An approximation of a fuzzy function
Journal title :
Astroparticle Physics
