Numerical solution of fuzzy linear system

Abstract

The aim of this paper is to present a numerical method for solving a general n×n fuzzy system of linear equations of the form Ax=b, where A is a crisp matrix and b an arbitrary fuzzy vector. We obtain the solution of n×n fuzzy linear systems by using Jacobi and Gauss-Seidel iterative methods and also show that the order of system will not be increased and the computing time will be shorter than other numerical methods. Finally, we illustrate this method by offering some numerical examples.

Keywords:

• fuzzy number
• fuzzy linear systems
• iterative methods
• Jacobi and Gauss-Seidel methods

2000 AMS Subject Classification :

• 15A06

Acknowledgements

The authors wish to express their thanks to the editorial board and the referees for comments that improved the paper.