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Solving Fully Fuzzy Linear Systems by use of a Certain Decomposition of the Coefficient Matrix
Abstract:In this paper, we give a certain decomposition of the coefficient matrix of the fully fuzzy linear system (FFLS) to obtain a simple algorithm for solving these systems. The new algorithm can solve FFLS in a smaller computing process. We will illustrate our method by solving some examples.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1081043Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1370
 H. Anton, R.C. Busby, Contemporary Linear Algebra, John Wiley, 2003.
 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. Dehghan, B. Hashemi, Solution of the fully fuzzy linear systems using the decomposition prodecure , Applied Mathematics and Computation, 182 (2006) 1568-1580.
 D. Dubois, H. Prade, Fuzzy Sets and Systems: Theory and Applications, Academic Press, New York, 1980.
 M. Friedman, M. Ming, A. Kandel, Fuzzy linear systems, Fuzzy Sets and Systems, 96 (1998) 201-209.
 M. Matinfar, S.H. Nasseri, M. Sohrabi, Solving fuzzy linear system of equations by using Householder decomposition method, Applied Mathematical Sciences, 51 (2008) 2569-2575.
 S.H. Nasseri, Solving fuzzy linear system of equations by use of the matrix decomposition, International Journal of Applied Mathematics, In press.
 S.H. Nasseri, M. Khorramizadeh, A new method for solving fuzzy linear systems, International Journal of Applied Mathematics, 20 (2007) 507- 516.