Solving Linear Fuzzy Fredholm Integral Equations System by Triangular Functions

Authors

  • Elias Hengamian Asl

Keywords:

Fuzzy number, Fuzzy Fredholm integral equations system of the second kind (FFIES-2), Two m-sets of triangular functions (TFs).

Abstract

In this paper, we present a numerical method to solve linear fuzzy Fredholm integral equations system of the second kind. This method converts the given fuzzy system into a linear system of algebraic equations by using triangular orthogonal functions. The proposed method is tested by two examples and also results are compared with the exact solution, by using computer simulations.

Key words and phrases. Fuzzy number, Fuzzy Fredholm integral equations system of the second kind (FFIES-2), Two m-sets of triangular functions (TFs).

2000 Mathematics Subject Classification. 45B05, 45B99

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Published

2025-05-18

How to Cite

Elias Hengamian Asl. (2025). Solving Linear Fuzzy Fredholm Integral Equations System by Triangular Functions. Jordan Journal of Mathematics and Statistics, 9(3), 185–201. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/1033

Issue

Vol. 9 No. 3 (2016)

Section

Articles