A Proposed Method for Solving Fuzzy System of Linear Equations

This paper proposes a new method for solving fuzzy system of linear equations with crisp coefficients matrix and fuzzy or interval right hand side. Some conditions for the existence of a fuzzy or interval solution of m × n linear system are derived and also a practical algorithm is introduced in det...

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Detalles Bibliográficos
Autores principales: Kargar, Reza, Allahviranloo, Tofigh, Rostami-Malkhalifeh, Mohsen, Jahanshaloo, Gholam Reza
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4152988/
https://www.ncbi.nlm.nih.gov/pubmed/25215332
http://dx.doi.org/10.1155/2014/782093
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author Kargar, Reza
Allahviranloo, Tofigh
Rostami-Malkhalifeh, Mohsen
Jahanshaloo, Gholam Reza
author_facet Kargar, Reza
Allahviranloo, Tofigh
Rostami-Malkhalifeh, Mohsen
Jahanshaloo, Gholam Reza
author_sort Kargar, Reza
collection PubMed
description This paper proposes a new method for solving fuzzy system of linear equations with crisp coefficients matrix and fuzzy or interval right hand side. Some conditions for the existence of a fuzzy or interval solution of m × n linear system are derived and also a practical algorithm is introduced in detail. The method is based on linear programming problem. Finally the applicability of the proposed method is illustrated by some numerical examples.
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spelling pubmed-41529882014-09-11 A Proposed Method for Solving Fuzzy System of Linear Equations Kargar, Reza Allahviranloo, Tofigh Rostami-Malkhalifeh, Mohsen Jahanshaloo, Gholam Reza ScientificWorldJournal Research Article This paper proposes a new method for solving fuzzy system of linear equations with crisp coefficients matrix and fuzzy or interval right hand side. Some conditions for the existence of a fuzzy or interval solution of m × n linear system are derived and also a practical algorithm is introduced in detail. The method is based on linear programming problem. Finally the applicability of the proposed method is illustrated by some numerical examples. Hindawi Publishing Corporation 2014 2014-08-19 /pmc/articles/PMC4152988/ /pubmed/25215332 http://dx.doi.org/10.1155/2014/782093 Text en Copyright © 2014 Reza Kargar et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Kargar, Reza
Allahviranloo, Tofigh
Rostami-Malkhalifeh, Mohsen
Jahanshaloo, Gholam Reza
A Proposed Method for Solving Fuzzy System of Linear Equations
title A Proposed Method for Solving Fuzzy System of Linear Equations
title_full A Proposed Method for Solving Fuzzy System of Linear Equations
title_fullStr A Proposed Method for Solving Fuzzy System of Linear Equations
title_full_unstemmed A Proposed Method for Solving Fuzzy System of Linear Equations
title_short A Proposed Method for Solving Fuzzy System of Linear Equations
title_sort proposed method for solving fuzzy system of linear equations
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4152988/
https://www.ncbi.nlm.nih.gov/pubmed/25215332
http://dx.doi.org/10.1155/2014/782093
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