%0 Journal Article
%T Linear System of Equations with Trapezoidal Fuzzy Numbers
%A Nasseri, S. H.
%A Gholami, M.
%J Journal of Mathematics and Computer Science
%D 2011
%V 3
%N 1
%@ ISSN 2008-949X
%F Nasseri2011
%X 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. [6]. 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.
%9 journal article
%R 10.22436/jmcs.03.01.06
%U http://dx.doi.org/10.22436/jmcs.03.01.06
%P 71--79
%0 Journal Article
%T A Method for Solving Fuzzy Linear Systems
%A S. Abbasbandy
%A M. Alavi
%J Iranian Journal of Fuzzy Systems
%D 2005
%V 2
%F Abbasbandy2005
%0 Journal Article
%T Successive over relaxation iterative method for fuzzy system of linear equation
%A T. Allahviranloo
%J Applied Mathematics and Computation
%D 2005
%V 162
%F Allahviranloo2005
%0 Journal Article
%T The adomian decomposition method for fuzzy system of linear equations
%A T. Allahviranloo
%J Applied Mathematics and Computation
%D 2005
%V 163
%F Allahviranloo 2005
%0 Journal Article
%T Solving systems of linear fuzzy equations
%A J. J. Buckley
%A Y. Qu
%J Fuzzy Sets and Systems
%D 1991
%V 43
%F Buckley1991
%0 Journal Article
%T Computational methods for solving fully fuzzy linear systems
%A M. Dehghan
%A B. Hashemi
%A M. Ghatee
%J Applied Mathematics and Computation
%D 2006
%V 179
%F Dehghan2006
%0 Journal Article
%T Fuzzy linear systems
%A M. Friedman
%A M. Ming
%A A. Kandel
%J Fuzzy Sets and Systems
%D 1998
%V 96
%F Friedman1998
%0 Journal Article
%T Solving fuzzy linear system of equations by use of the matrix decomposition
%A S. H. Nasseri
%J International Journal of Applied Mathematics
%D 2008
%V 21
%F Nasseri2008