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مقاله
1 - Approximation of a Fuzzy Function by Using Radial Basis Functions InterpolationInternational Journal of Mathematical Modeling & Computations , شماره 5 , سال 7 , پاییز 2017In 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 combina چکیده کاملIn 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. پرونده مقاله -
مقاله
2 - Using Radial Basis Functions for Numerical Solving Two-Dimensional Voltrra Linear Functional Integral EquationsInternational Journal of Mathematical Modeling & Computations , شماره 1 , سال 10 , زمستان 2020This article is an attempt to obtain the numerical solution of functional linear Voltrra two-dimensional integral equations using Radial Basis Function (RBF) interpolation which isbased on linear composition of terms. By using RBF in functional integral equation, rst a چکیده کاملThis article is an attempt to obtain the numerical solution of functional linear Voltrra two-dimensional integral equations using Radial Basis Function (RBF) interpolation which isbased on linear composition of terms. By using RBF in functional integral equation, rst alinear system C = G will be achieved; then the coecients vector is dened, and nally thetarget function will be approximated. In the end, the validity of the method is shown by anumber of examples. پرونده مقاله