Linear system of equations have long been studied, with applications in Physics, Statistics and numerous fields of Enginnering. In this report, we investigate linear systems in which variables are fuzzy numbers. We start by giving a direct method for solving such systems and move on to iterative methods such as Guassian-Seidel and Jacobian. We finish the report by implementing aforementioned iterative methods using Sympy and Jupyter Notebook.

if you only want to read the report, check out the PDF main.pdf. Notebook is both embedded in the report and available at code.ipynb. Make sure to install Sympy before running the code. Sympy is a beautiful python library for symbolic mathematics. To install Sympy run the following command

$ pip install sympy

You will need the following requirements

• Tex Live
• Xetex, a packge for rendering Farsi letters in Tex

here's a link to the report in overleaf

This work was done as part of an undergraduate course in Numerical Linear Algebra by Amirkabir University of Technology. I wanted to thank Dr. Akbar Shirilord for his invaluable advice, continuous support, and detailed feedbacks.