TY - JOUR
AU - Nasseri, S. H.
AU - Gholami, M.
PY - 2011
TI - Linear System of Equations with Trapezoidal Fuzzy Numbers
JO - Journal of Mathematics and Computer Science
SP - 71--79
VL - 3
IS - 1
AB - 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.
SN - ISSN 2008-949X
UR - http://dx.doi.org/10.22436/jmcs.03.01.06
DO - 10.22436/jmcs.03.01.06
ID - Nasseri2011
ER -
TY - JOUR
TI - A Method for Solving Fuzzy Linear Systems
AU - S. Abbasbandy
AU - M. Alavi
JO - Iranian Journal of Fuzzy Systems
PY - 2005
DA - 2005//
VL - 2
ID - Abbasbandy2005
ER -
TY - JOUR
TI - Successive over relaxation iterative method for fuzzy system of linear equation
AU - T. Allahviranloo
JO - Applied Mathematics and Computation
PY - 2005
DA - 2005//
VL - 162
ID - Allahviranloo2005
ER -
TY - JOUR
TI - The adomian decomposition method for fuzzy system of linear equations
AU - T. Allahviranloo
JO - Applied Mathematics and Computation
PY - 2005
DA - 2005//
VL - 163
ID - Allahviranloo 2005
ER -
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TI - Solving systems of linear fuzzy equations
AU - J. J. Buckley
AU - Y. Qu
JO - Fuzzy Sets and Systems
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DA - 1991//
VL - 43
ID - Buckley1991
ER -
TY - JOUR
TI - Computational methods for solving fully fuzzy linear systems
AU - M. Dehghan
AU - B. Hashemi
AU - M. Ghatee
JO - Applied Mathematics and Computation
PY - 2006
DA - 2006//
VL - 179
ID - Dehghan2006
ER -
TY - JOUR
TI - Fuzzy linear systems
AU - M. Friedman
AU - M. Ming
AU - A. Kandel
JO - Fuzzy Sets and Systems
PY - 1998
DA - 1998//
VL - 96
ID - Friedman1998
ER -
TY - JOUR
TI - Solving fuzzy linear system of equations by use of the matrix decomposition
AU - S. H. Nasseri
JO - International Journal of Applied Mathematics
PY - 2008
DA - 2008//
VL - 21
ID - Nasseri2008
ER -