Mathematics

Permanent URI for this collection

Now showing 1 - 1 of 1

Interpolation of Radial Basis Functions Using Trapezoidal Fuzzy Numbers
(An-Najah National University, 2021-09-27) Al-Saifi, Alia Mufeed Mohammed; الصيفي, علياء مفيد محمد
Interpolation is one of the important and widespread problems in different scientific technical fields such as image processing, visualization of computational graphics, geometric modeling, design and many others. It is used to create a new determined or estimated data points between known data points on a graph (or the discussed issue). In this thesis, a new radial basis function’s (RBF’s) methodology is interpolating a function by using trapezoidal fuzzy numbers (TFNs) through the Gaussian RBFs. The methodology uses two approximation errors: E_c (root mean forecast error) and E_l (root mean square error) to measure the performance of the methodology in approximating the interpolation function to the original function. Finally, using two numerical examples, results made it possible to conclude that as the number of RBF’s centers is increased, the accuracy of the interpolation is increased which is measured through two common metrics: the E_c and E_l errors by using MATLAB software.