论文信息 - A Novel Method to Solve Fuzzy Linear Systems

A Novel Method to Solve Fuzzy Linear Systems

In this paper fuzzy linear system (FLS) is investigated from a new point of view. In this method the original FLS is decomposed by Adomian method. In fact in this paper the method of using Adomian method in fuzzy environment. The algorithm is illustrated by solving some numerical examples.

R. Rakhshani | R. Rakhshani

[1] Y. Cherruault,et al. Convergence of Adomian's method applied to differential equations , 1994 .

[2] Abraham Kandel,et al. Fuzzy linear systems , 1998, Fuzzy Sets Syst..

[3] George Adomian,et al. Solving Frontier Problems of Physics: The Decomposition Method , 1993 .

[4] Tofigh Allahviranloo,et al. Numerical methods for fuzzy system of linear equations , 2004, Appl. Math. Comput..

[5] Tofigh Allahviranloo,et al. A comment on fuzzy linear systems , 2003, Fuzzy Sets Syst..

[6] George Adomian,et al. Nonlinear Stochastic Systems Theory and Applications to Physics , 1988 .

[7] Tofigh Allahviranloo,et al. The Adomian decomposition method for fuzzy system of linear equations , 2005, Appl. Math. Comput..

[8] Tofigh Allahviranloo,et al. Successive over relaxation iterative method for fuzzy system of linear equations , 2005, Appl. Math. Comput..