Jordan Journal of Mathematics and Statistics, Volume (12), No (4), Year (2019-12) , Pages (557-580)

Title : ( TRIANGULAR FUNCTIONS WITH CONVERGENCE FOR SOLVING LINEAR SYSTEM OF TWO-DIMENSIONAL FUZZY FREDHOLM INTEGRAL EQUATION )

Authors: Elias Hengamian Asl , Jafar Saberi- Nadjafi ,

Citation: BibTeX | EndNote

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.

Keywords

, 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
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@article{paperid:1088700,
author = {Hengamian Asl, Elias and Saberi- Nadjafi, Jafar},
title = {TRIANGULAR FUNCTIONS WITH CONVERGENCE FOR SOLVING LINEAR SYSTEM OF TWO-DIMENSIONAL FUZZY FREDHOLM INTEGRAL EQUATION},
journal = {Jordan Journal of Mathematics and Statistics},
year = {2019},
volume = {12},
number = {4},
month = {December},
issn = {2075-7905},
pages = {557--580},
numpages = {23},
keywords = {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},
}

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%0 Journal Article
%T TRIANGULAR FUNCTIONS WITH CONVERGENCE FOR SOLVING LINEAR SYSTEM OF TWO-DIMENSIONAL FUZZY FREDHOLM INTEGRAL EQUATION
%A Hengamian Asl, Elias
%A Saberi- Nadjafi, Jafar
%J Jordan Journal of Mathematics and Statistics
%@ 2075-7905
%D 2019

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