Application of ‎F‎uzzy Bicubic Splines Interpolation for Solving ‎T‎wo-Dimensional Linear Fuzzy Fredholm Integral ‎Equations‎‎

‎In this paper‎, ‎firstly‎, ‎we review approximation of fuzzy functions‎ ‎by fuzzy bicubic splines interpolation and present a new approach‎ ‎based on the two-dimensional fuzzy splines interpolation and‎ ‎iterative method to approximate the solution of two-dimensional‎ ‎linear fuzzy Fredholm integral equation (۲DLFFIE)‎. ‎Also‎, ‎we prove‎ ‎convergence analysis and numerical stability analysis for the‎ ‎proposed numerical algorithm‎. ‎Finally‎, ‎by an example‎, ‎we show the‎ ‎efficiency of the proposed ‎method.‎

کلیدواژه ها:

Two-dimensional linear fuzzy‎ ‎Fredholm integral equations ، Two dimensional fuzzy splines‎ ‎interpolation ، Iterative method ، Fuzzy‎ ‎numbers‎