]> 2011 3 1 100
Linear System of Equations with Trapezoidal Fuzzy Numbers Linear System of Equations with Trapezoidal Fuzzy Numbers en en A general fuzzy linear system of equations is investigated using embedding approach. In the literature of fuzzy systems two types of linear systems are more important: 1) Fuzzy Linear Systems, 2) Fully Fuzzy Linear Systems. In both class of these systems usually the authors considered triangular type of fuzzy numbers. In this paper, we introduce a linear system of equations with trapezoidal fuzzy numbers as an extension of the fuzzy linear systems which was first introduced by Friedman et al. . Conditions for the existence of a trapezoidal fuzzy solution to n×n linear system are derived and a numerical procedure for calculating the solution is illustrated with some examples. 71 79 S. H. Nasseri M. Gholami Fuzzy linear system Embedding approach Triangular and trapezoidal fuzzy numbers Trapezoidal fuzzy linear system. Article.6.pdf  S. Abbasbandy, M. Alavi , A Method for Solving Fuzzy Linear Systems, Iranian Journal of Fuzzy Systems, 2 (2005), 37-44 ## T. Allahviranloo, Successive over relaxation iterative method for fuzzy system of linear equation, Applied Mathematics and Computation, 162 (2005), 189-196 ## T. Allahviranloo , The adomian decomposition method for fuzzy system of linear equations, Applied Mathematics and Computation, 163 (2005), 553-563 ## J. J. Buckley, Y. Qu, Solving systems of linear fuzzy equations, Fuzzy Sets and Systems, 43 (1991), 33-43 ## M. Dehghan, B. Hashemi, M. Ghatee, Computational methods for solving fully fuzzy linear systems, Applied Mathematics and Computation, 179 (2006), 328-343 ## M. Friedman, M. Ming, A. Kandel, Fuzzy linear systems, Fuzzy Sets and Systems, 96 (1998), 201-209 ## S. H. Nasseri, Solving fuzzy linear system of equations by use of the matrix decomposition, International Journal of Applied Mathematics, 21 (2008), 435-445