Triangular Functions with Convergence for Solving Linear System of Two-Dimensional Fuzzy Fredholm Integral Equation

Abstract

In this paper, we present a review on triangular functions (TFs) to solve linear two-dimensional fuzzy Fredholm integral equations system of the second kind (2D-FFIES-2). The properties of triangular functions are utilized to reduce the 2D-FFIES-2 to a linear system of algebraic equations. Moreover, we state the convergence analysis of the method. Finally, some examples show the simplicity and the validity of the present numerical method.

Key words and phrases. two-dimensional fuzzy Fredholm integral equations system of the second kind (2D-FFIES-2), Two m-sets of one-dimensional triangular functions (1D-TFs), Two-dimensional triangular functions (2D-TFs), Convergence analysis.

2000 Mathematics Subject Classification. 45B05, 45B99