Numerical methods for solving fuzzy linear systems
type: Item
instance of: scholarly article
title: Numerical methods for solving fuzzy linear systems
author: Lubna Inearat
author: Naji A. Qatanani
published in: Mathematics
publication date: 2018-08-13T00:00:00Z
review text: Summary: 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 \(\omega = 1.3\) provides more efficient results in comparison with other iterative techniques.
Mathematics Subject Classification ID: 65-XX
Mathematics Subject Classification ID: 90-XX
Mathematics Subject Classification ID: 45-XX
zbMATH DE Number: 6916893
zbMATH Keywords: fuzzy system of linear equations (FSLEs)
zbMATH Keywords: iterative schemes
zbMATH Keywords: strong and weak solutions
zbMATH Keywords: Hausdorff
MaRDI profile type: Publication
full work available at URL: math6020019
OpenAlex ID: W2794339961
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cites work: Fuzzy linear systems
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cites work: Q3410140
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DOI: 10.3390/MATH6020019
description: scientific article; zbMATH DE number 6916893