Solving Fuzzy Linear Systems of Equations

نویسندگان

  • A. Panahi
  • T. Allahviranloo
  • H. Rouhparvar
چکیده

Systems of linear equations, with uncertainty on the parameters, play a major role in various problems in economics and finance. Fuzzy system of linear equations has been discussed in [1] using LU decomposition when the matrix A in Ax = b is a crisp matrix. Also the Adomian decomposition method and iterative methods have been studied in [2, 6] for fuzzy system of linear equations. In this paper we study such a system with fuzzy coefficients, i.e. the matrix A is a fuzzy matrix. We find two fuzzy matrices, the lower triangular L and the upper triangular U such that A = LU and give a procedure to solve the fuzzy system of linear equations.

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تاریخ انتشار 2009