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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 positivedefinite system of linear equations, Applied Mathematics and Computation, 171 (2005), 11841191. Google Scholar 
[2] 
S. Abbasbandy S., R. Ezzati and A. Jafarian, LU decomposition method for solving fuzzy system of linear equations, Applied Mathematics and Computation 172 (2006), 633643. Google Scholar 
[3] 
S. Abbasbandy and A. Jafarian, Steepest descent method for system of fuzzy linear equations, Applied Mathematics and Computation 175 (2006), 823833 . Google Scholar 
[4] 
T. Allahviranloo, Numerical methods for fuzzy system of linear equations, Applied Mathematics and Computation 155 (2004), 493502. Google Scholar 
[5] 
T. Allahviranloo, Successive over relaxation iterative method for fuzzy system of linear equations, Applied Mathematics and Computation 162 (2004), 189196. Google Scholar 
[6] 
T. Allahviranloo, The adomian decomposition method for fuzzy system of linear equations, Applied Mathematics and Computation 163 (2005), 553563. Google Scholar 
[7] 
T. Allahviranloo, M. Ghanbari, A. A. Hosseinzadeh, E. Haghi and R. Nuraei, A note on fuzzy linear systems, Fuzzy Sets and Systems 177(1) (2011), 8792. Google Scholar 
[8] 
T. Allahviranloo, E. Ahmady and N. Ahmady, A method for solving nth order fuzzy linear differential equations, International Journal of Computer Mathematics, 86(4) (2009), 730742. Google Scholar 
[9] 
D. Behera and S. Chakraverty, Solution of Fuzzy System of Linear Equations with Polynomial Parameteric form, Applications and Applied Mathematics, 7(2) (2012), 648657. Google Scholar 
[10] 
J. J. Buckley and Y. Qu, Solving linear and quadratic fuzzy equations, Fuzzy Sets and Systems, 38 (1990), 4349. Google Scholar 
[11] 
M. Dehghan, B. Hashemi and M. Ghatee, Computational methods for solving fully fuzzy linear systems, Applied Mathematics and Computation, 179 (2006), 328343. Google Scholar 
[12] 
M. Dehghan and B. Hashemi, Solution of the fully fuzzy linear system using the decomposition procedure, Applied Mathematics and Computation, 182 (2006), 15681580. Google Scholar 
[13] 
D. Dubois and H. Prade, Fuzzy Sets and Systems: Theory and Applications, Academic Press,New York, 1980. Google Scholar 
[14] 
M. Friedman, M. Ming and A. Kandel, Fuzzy linear systems, Fuzzy Sets and Systems, 96 (1998), 201209. Google Scholar 
[15] 
G. Klir and B.Yuan, Fuzzy Sets and Fuzzy Logic Theory and Applications, Prentice Hall, 1997. Google Scholar 
[16] 
M. Matinfar, S. H. Nasseri and M. Sohrabi, Solving Fuzzy Linear System of Equations by Using Householder Decomposition Method, Applied Mathematical Sciences, 2(52) (2008), 25692575. Google Scholar 
[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(7) (2011), 714. Google Scholar 
[18] 
S. H. Nasseri and M. Sohrabi, GramSchmidt approach for linear System of Equations with fuzzy parameters, The Journal of Mathematics and Computer Science, 1(2) (2010), 8089. Google Scholar 
[19] 
M. J. Quinn, Parallel Computing Theory and Practice, Oregon State University, Second Edition. (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(5) (2009), 535541. Google Scholar 
[21] 
A. Sadeghi, I. M. Ahmad and A. F. Jameel, Solving Systems of Fuzzy Differential Equation, International Mathematical Forum, 6 (42) (2011), 20872100. Google Scholar 
[22] 
L. A. Zadeh, Fuzzy sets, Information and Control, 8 (1965), 338353 . Google Scholar 
show all references
References:
[1] 
S. Abbasbandy S., A. Jafarian and R. Ezzati, Conjugate gradient method for fuzzy symmetric positivedefinite system of linear equations, Applied Mathematics and Computation, 171 (2005), 11841191. Google Scholar 
[2] 
S. Abbasbandy S., R. Ezzati and A. Jafarian, LU decomposition method for solving fuzzy system of linear equations, Applied Mathematics and Computation 172 (2006), 633643. Google Scholar 
[3] 
S. Abbasbandy and A. Jafarian, Steepest descent method for system of fuzzy linear equations, Applied Mathematics and Computation 175 (2006), 823833 . Google Scholar 
[4] 
T. Allahviranloo, Numerical methods for fuzzy system of linear equations, Applied Mathematics and Computation 155 (2004), 493502. Google Scholar 
[5] 
T. Allahviranloo, Successive over relaxation iterative method for fuzzy system of linear equations, Applied Mathematics and Computation 162 (2004), 189196. Google Scholar 
[6] 
T. Allahviranloo, The adomian decomposition method for fuzzy system of linear equations, Applied Mathematics and Computation 163 (2005), 553563. Google Scholar 
[7] 
T. Allahviranloo, M. Ghanbari, A. A. Hosseinzadeh, E. Haghi and R. Nuraei, A note on fuzzy linear systems, Fuzzy Sets and Systems 177(1) (2011), 8792. Google Scholar 
[8] 
T. Allahviranloo, E. Ahmady and N. Ahmady, A method for solving nth order fuzzy linear differential equations, International Journal of Computer Mathematics, 86(4) (2009), 730742. Google Scholar 
[9] 
D. Behera and S. Chakraverty, Solution of Fuzzy System of Linear Equations with Polynomial Parameteric form, Applications and Applied Mathematics, 7(2) (2012), 648657. Google Scholar 
[10] 
J. J. Buckley and Y. Qu, Solving linear and quadratic fuzzy equations, Fuzzy Sets and Systems, 38 (1990), 4349. Google Scholar 
[11] 
M. Dehghan, B. Hashemi and M. Ghatee, Computational methods for solving fully fuzzy linear systems, Applied Mathematics and Computation, 179 (2006), 328343. Google Scholar 
[12] 
M. Dehghan and B. Hashemi, Solution of the fully fuzzy linear system using the decomposition procedure, Applied Mathematics and Computation, 182 (2006), 15681580. Google Scholar 
[13] 
D. Dubois and H. Prade, Fuzzy Sets and Systems: Theory and Applications, Academic Press,New York, 1980. Google Scholar 
[14] 
M. Friedman, M. Ming and A. Kandel, Fuzzy linear systems, Fuzzy Sets and Systems, 96 (1998), 201209. Google Scholar 
[15] 
G. Klir and B.Yuan, Fuzzy Sets and Fuzzy Logic Theory and Applications, Prentice Hall, 1997. Google Scholar 
[16] 
M. Matinfar, S. H. Nasseri and M. Sohrabi, Solving Fuzzy Linear System of Equations by Using Householder Decomposition Method, Applied Mathematical Sciences, 2(52) (2008), 25692575. Google Scholar 
[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(7) (2011), 714. Google Scholar 
[18] 
S. H. Nasseri and M. Sohrabi, GramSchmidt approach for linear System of Equations with fuzzy parameters, The Journal of Mathematics and Computer Science, 1(2) (2010), 8089. Google Scholar 
[19] 
M. J. Quinn, Parallel Computing Theory and Practice, Oregon State University, Second Edition. (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(5) (2009), 535541. Google Scholar 
[21] 
A. Sadeghi, I. M. Ahmad and A. F. Jameel, Solving Systems of Fuzzy Differential Equation, International Mathematical Forum, 6 (42) (2011), 20872100. Google Scholar 
[22] 
L. A. Zadeh, Fuzzy sets, Information and Control, 8 (1965), 338353 . Google Scholar 
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