MULTI- SOLUTIONS OF FUZZY POLYNOMIALS: A REVIEW

There have been many numerical methods for the solution of fuzzy polynomials. However, these methods have their own algorithm that will make it an efficient method to find real root of fuzzy polynomials. In this study, a current review on the solution of fuzzy polynomials in the form of 0 2 2 1 .... A x A x A x A n n     will be presented. Related articles appearing in the international journals from 1997-2011 (searched via ScienceDirect and ProQuest) are gathered and analyzed. Hopefully this review will provide an input in the study of fuzzy polynomials.

[1]  Tofigh Allahviranloo,et al.  Iterative method for fuzzy equations , 2008, Soft Comput..

[2]  S. Abbasbandy,et al.  A METHOD FOR SOLVING FUZZY LINEAR SYSTEMS , 2005 .

[3]  Lotfi A. Zadeh,et al.  The Concepts of a Linguistic Variable and its Application to Approximate Reasoning , 1975 .

[4]  Y. Cherruault,et al.  Practical formulae for the calculus of multivariable adomian polynomials , 1995 .

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

[6]  Saeid Abbasbandy,et al.  Extended Newton's method for a system of nonlinear equations by modified Adomian decomposition method , 2005, Appl. Math. Comput..

[7]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[8]  Maryam Mosleh,et al.  Solution of fuzzy polynomial equations by modified Adomian decomposition method , 2011, Soft Comput..

[9]  Saeid Abbasbandy,et al.  Improving Newton-Raphson method for nonlinear equations by modified Adomian decomposition method , 2003, Appl. Math. Comput..

[10]  Saeid Abbasbandy,et al.  Numerical approximation of fuzzy functions by fuzzy polynomials , 2006, Appl. Math. Comput..

[11]  Saeid Abbasbandy,et al.  Newton's method for solving fuzzy nonlinear equations , 2004, Appl. Math. Comput..

[12]  M. Amparo Vila,et al.  A fuzziness measure for fuzzy numbers: Applications , 1998, Fuzzy Sets Syst..

[13]  T Allahviranloo,et al.  NUMERICAL SOLUTION OF FUZZY POLYNOMIALS BY NEWTON-RAPHSON METHOD , 2011 .

[14]  G. Alefeld,et al.  Introduction to Interval Computation , 1983 .

[15]  James J. Buckley,et al.  Neural net solutions to fuzzy problems: The quadratic equation , 1997, Fuzzy Sets Syst..

[16]  Saeid Abbasbandy,et al.  Numerical solution of fuzzy polynomials by fuzzy neural network , 2006, Appl. Math. Comput..

[17]  George Adomian,et al.  On the solution of algebraic equations by the decomposition method , 1985 .

[18]  Saeid Abbasbandy,et al.  Numerical solution of a system of fuzzy polynomials by fuzzy neural network , 2008, Inf. Sci..

[19]  Saeid Abbasbandy,et al.  Fuzzy general linear systems , 2005, Appl. Math. Comput..

[20]  Abdollah Hadi-Vencheh,et al.  An iterative method for solving dual fuzzy nonlinear equations , 2005, Appl. Math. Comput..

[21]  M. Amparo Vila,et al.  On a canonical representation of fuzzy numbers , 1998, Fuzzy Sets Syst..

[22]  H. Rouhparvar,et al.  Solving fuzzy polynomial equation by ranking method , 2007 .