International Journal of Fuzzy Mathematical Archive
Year : 2023, Volume : 21, Issue : 2
First page : ( 57) Last page : ( 70)
Print ISSN : 2320-3242. Online ISSN : 2320-3250.
Article DOI : 10.22457/ijfma.v21n2a52395

Solution of system of real neutrosophic linear equations by successive over relaxation method

Khamrai Priyanka^*

Department of Applied Mathematics, Vidyasagar University, Midnapore-721102, India

^*Email: priyankakhamrai20001@gmail.com

Online published on 22 November, 2024.

Abstract

This thesis presents a novel approach for solving systems of real Neutrosophic linear equations using the Successive Over-Relaxation (SOR) method. Neutrosophic logic, which incorporates the elements of truth, indeterminacy, and falsity, provides a comprehensive framework for addressing data that is uncertain, inconsistent, and incomplete. By adopting the SOR method, an iterative technique traditionally used for solving linear equations, this research effectively handles the unique characteristics of Neutrosophic numbers. The modified SOR method is rigorously analyzed for convergence properties and its effectiveness is demonstrated through numerical experiments. The results indicate that the adapted SOR method is a robust and reliable tool for solving complex Neutrosophic linear equations, contributing significantly to the field of numerical methods and expanding the applicability of Neutrosophic logic in computational mathematics.

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Keywords

Fuzzy number, Neutrosophic number, System of linear equations, SOR method.

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