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Section B

Numerical solution of fuzzy linear system

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Pages 151-162 | Received 04 Jan 2007, Accepted 30 Jul 2007, Published online: 07 Nov 2008
 

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.

2000 AMS Subject Classification :

Acknowledgements

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

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