An efficient method for solving LR fuzzy dual matrix systems

DOI10.3233/IFS-151781zbMath1375.65044OpenAlexW2196795176MaRDI QIDQ2988459

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Publication date: 19 May 2017

Published in: Journal of Intelligent & Fuzzy Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3233/ifs-151781

zbMATH Keywords

optimizationlinear programmingfuzzy numbertriangular fuzzy numberfuzzy matrix equation

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Linear programming (90C05) Matrix equations and identities (15A24) Direct numerical methods for linear systems and matrix inversion (65F05) Fuzzy matrices (15B15)

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Algebraic solution of fuzzy linear system as: \(\widetilde{A}\widetilde{X}+\widetilde{B}\widetilde{X}=\widetilde{Y}\)

Cites Work

• Fuzzy symmetric solutions of fuzzy linear systems
• Maximal- and minimal symmetric solutions of fully fuzzy linear systems
• Elementary fuzzy calculus
• Systems of linear fuzzy constraints
• Successive over relaxation iterative method for fuzzy system of linear equations
• The Adomian decomposition method for fuzzy system of linear equations
• Numerical methods for fuzzy system of linear equations
• Duality in fuzzy linear systems
• \(LU\) decomposition method for solving fuzzy system of linear equations
• Solution of a fuzzy system of linear equation
• Steepest descent method for system of fuzzy linear equations
• Fuzzy linear systems of the form \(A_{1}x+b_{1}=A_{2}x+b_{2}\)
• Block Jacobi two-stage method with Gauss-Seidel inner iterations for fuzzy system of linear equations
• Fuzzy linear systems

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