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Fuzzy system of linear equations
1. | Department of Applied Mathematics, Faculty of Technology and Engineering, The M. S. University of Baroda, Vadodara, Gujarat, India |
References:
[1] |
S. Abbasbandy S., A. Jafarian and R. Ezzati, Conjugate gradient method for fuzzy symmetric positive-definite system of linear equations,, Applied Mathematics and Computation, 171 (2005), 1184.
|
[2] |
S. Abbasbandy S., R. Ezzati and A. Jafarian, LU decomposition method for solving fuzzy system of linear equations,, Applied Mathematics and Computation \textbf{172} (2006), 172 (2006), 633.
|
[3] |
S. Abbasbandy and A. Jafarian, Steepest descent method for system of fuzzy linear equations,, Applied Mathematics and Computation \textbf{175} (2006), 175 (2006), 823.
|
[4] |
T. Allahviranloo, Numerical methods for fuzzy system of linear equations,, Applied Mathematics and Computation \textbf{155} (2004), 155 (2004), 493.
|
[5] |
T. Allahviranloo, Successive over relaxation iterative method for fuzzy system of linear equations,, Applied Mathematics and Computation \textbf{162} (2004), 162 (2004), 189.
|
[6] |
T. Allahviranloo, The adomian decomposition method for fuzzy system of linear equations,, Applied Mathematics and Computation \textbf{163} (2005), 163 (2005), 553.
|
[7] |
T. Allahviranloo, M. Ghanbari, A. A. Hosseinzadeh, E. Haghi and R. Nuraei, A note on fuzzy linear systems,, Fuzzy Sets and Systems \textbf{177}(1) (2011), 177 (2011), 87.
|
[8] |
T. Allahviranloo, E. Ahmady and N. Ahmady, A method for solving nth order fuzzy linear differential equations,, International Journal of Computer Mathematics, 86 (2009), 730.
|
[9] |
D. Behera and S. Chakraverty, Solution of Fuzzy System of Linear Equations with Polynomial Parameteric form,, Applications and Applied Mathematics, 7 (2012), 648.
|
[10] |
J. J. Buckley and Y. Qu, Solving linear and quadratic fuzzy equations,, Fuzzy Sets and Systems, 38 (1990), 43.
|
[11] |
M. Dehghan, B. Hashemi and M. Ghatee, Computational methods for solving fully fuzzy linear systems,, Applied Mathematics and Computation, 179 (2006), 328.
|
[12] |
M. Dehghan and B. Hashemi, Solution of the fully fuzzy linear system using the decomposition procedure,, Applied Mathematics and Computation, 182 (2006), 1568.
|
[13] |
D. Dubois and H. Prade, Fuzzy Sets and Systems: Theory and Applications,, Academic Press, (1980).
|
[14] |
M. Friedman, M. Ming and A. Kandel, Fuzzy linear systems,, Fuzzy Sets and Systems, 96 (1998), 201.
|
[15] |
G. Klir and B.Yuan, Fuzzy Sets and Fuzzy Logic Theory and Applications,, Prentice Hall, (1997).
|
[16] |
M. Matinfar, S. H. Nasseri and M. Sohrabi, Solving Fuzzy Linear System of Equations by Using Householder Decomposition Method,, Applied Mathematical Sciences, 2 (2008), 2569.
|
[17] |
S. H. Nasseri, M. Abdi and B. Khabiri, An Application of Fuzzy linear System of Equations in Economic Sciences,, Australian Journal of Basic and Applied Sciences, 5 (2011), 7. Google Scholar |
[18] |
S. H. Nasseri and M. Sohrabi, Gram-Schmidt approach for linear System of Equations with fuzzy parameters,, The Journal of Mathematics and Computer Science, 1 (2010), 80. Google Scholar |
[19] |
M. J. Quinn, Parallel Computing Theory and Practice,, Oregon State University, (2002). Google Scholar |
[20] |
T. Rahgooy, H. Sadoghi and R. Monsefi, Fuzzy Complex System of linear equations Applied to Circuit Analysis,, International Journal of Computer and Electrical Engineering, 1 (2009), 535. Google Scholar |
[21] |
A. Sadeghi, I. M. Ahmad and A. F. Jameel, Solving Systems of Fuzzy Differential Equation,, International Mathematical Forum, 6 (2011), 2087.
|
[22] |
L. A. Zadeh, Fuzzy sets,, Information and Control, 8 (1965), 338.
|
show all references
References:
[1] |
S. Abbasbandy S., A. Jafarian and R. Ezzati, Conjugate gradient method for fuzzy symmetric positive-definite system of linear equations,, Applied Mathematics and Computation, 171 (2005), 1184.
|
[2] |
S. Abbasbandy S., R. Ezzati and A. Jafarian, LU decomposition method for solving fuzzy system of linear equations,, Applied Mathematics and Computation \textbf{172} (2006), 172 (2006), 633.
|
[3] |
S. Abbasbandy and A. Jafarian, Steepest descent method for system of fuzzy linear equations,, Applied Mathematics and Computation \textbf{175} (2006), 175 (2006), 823.
|
[4] |
T. Allahviranloo, Numerical methods for fuzzy system of linear equations,, Applied Mathematics and Computation \textbf{155} (2004), 155 (2004), 493.
|
[5] |
T. Allahviranloo, Successive over relaxation iterative method for fuzzy system of linear equations,, Applied Mathematics and Computation \textbf{162} (2004), 162 (2004), 189.
|
[6] |
T. Allahviranloo, The adomian decomposition method for fuzzy system of linear equations,, Applied Mathematics and Computation \textbf{163} (2005), 163 (2005), 553.
|
[7] |
T. Allahviranloo, M. Ghanbari, A. A. Hosseinzadeh, E. Haghi and R. Nuraei, A note on fuzzy linear systems,, Fuzzy Sets and Systems \textbf{177}(1) (2011), 177 (2011), 87.
|
[8] |
T. Allahviranloo, E. Ahmady and N. Ahmady, A method for solving nth order fuzzy linear differential equations,, International Journal of Computer Mathematics, 86 (2009), 730.
|
[9] |
D. Behera and S. Chakraverty, Solution of Fuzzy System of Linear Equations with Polynomial Parameteric form,, Applications and Applied Mathematics, 7 (2012), 648.
|
[10] |
J. J. Buckley and Y. Qu, Solving linear and quadratic fuzzy equations,, Fuzzy Sets and Systems, 38 (1990), 43.
|
[11] |
M. Dehghan, B. Hashemi and M. Ghatee, Computational methods for solving fully fuzzy linear systems,, Applied Mathematics and Computation, 179 (2006), 328.
|
[12] |
M. Dehghan and B. Hashemi, Solution of the fully fuzzy linear system using the decomposition procedure,, Applied Mathematics and Computation, 182 (2006), 1568.
|
[13] |
D. Dubois and H. Prade, Fuzzy Sets and Systems: Theory and Applications,, Academic Press, (1980).
|
[14] |
M. Friedman, M. Ming and A. Kandel, Fuzzy linear systems,, Fuzzy Sets and Systems, 96 (1998), 201.
|
[15] |
G. Klir and B.Yuan, Fuzzy Sets and Fuzzy Logic Theory and Applications,, Prentice Hall, (1997).
|
[16] |
M. Matinfar, S. H. Nasseri and M. Sohrabi, Solving Fuzzy Linear System of Equations by Using Householder Decomposition Method,, Applied Mathematical Sciences, 2 (2008), 2569.
|
[17] |
S. H. Nasseri, M. Abdi and B. Khabiri, An Application of Fuzzy linear System of Equations in Economic Sciences,, Australian Journal of Basic and Applied Sciences, 5 (2011), 7. Google Scholar |
[18] |
S. H. Nasseri and M. Sohrabi, Gram-Schmidt approach for linear System of Equations with fuzzy parameters,, The Journal of Mathematics and Computer Science, 1 (2010), 80. Google Scholar |
[19] |
M. J. Quinn, Parallel Computing Theory and Practice,, Oregon State University, (2002). Google Scholar |
[20] |
T. Rahgooy, H. Sadoghi and R. Monsefi, Fuzzy Complex System of linear equations Applied to Circuit Analysis,, International Journal of Computer and Electrical Engineering, 1 (2009), 535. Google Scholar |
[21] |
A. Sadeghi, I. M. Ahmad and A. F. Jameel, Solving Systems of Fuzzy Differential Equation,, International Mathematical Forum, 6 (2011), 2087.
|
[22] |
L. A. Zadeh, Fuzzy sets,, Information and Control, 8 (1965), 338.
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