Numerical Methods for Solving Fuzzy Linear Systems

Lubna Inearat and Naji Qatanani
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Lubna Inearat: Department of Mathematics, An–Najah National University, Nablus, P.O. Box 7, Palestine
Naji Qatanani: Department of Mathematics, An–Najah National University, Nablus, P.O. Box 7, Palestine

Mathematics, 2018, vol. 6, issue 2, 1-9

Abstract: In this article, three numerical iterative schemes, namely: Jacobi, Gauss–Seidel and Successive over-relaxation (SOR) have been proposed to solve a fuzzy system of linear equations (FSLEs). The convergence properties of these iterative schemes have been discussed. To display the validity of these iterative schemes, an illustrative example with known exact solution is considered. Numerical results show that the SOR iterative method with ? = 1.3 provides more efficient results in comparison with other iterative techniques.

Keywords: fuzzy system of linear equations (FSLEs); iterative schemes; strong and weak solutions; Hausdorff (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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