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QR-decomposition method for solving fuzzy system of linear equations

S. H. Nasseri, M. Matinfar, M. Sohrabi

Abstract


A convenient model of fuzzy linear systems is an n × n linear system whose coefficients matrix is crisp and the right-hand side column is an arbitrary fuzzy vector. In this paper, we consider an m×n fuzzy linear systems and propose the QR-decomposition method for solving fuzzy system of linear equations. The method in detail is discussed by convergence theorem. We illustrate our method by solving some numerical examples.

Keywords


fuzzy linear system of equations, fuzzy number, QR-decomposition.

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