Canonical representation for approximating solution of fuzzy polynomial equations

In this paper, the concept of canonical representation is proposed to find fuzzy roots of fuzzy polynomial equations. We transform fuzzy polynomial equations to system of crisp polynomial equations, this transformation is perform by using canonical representation based on three parameters Value, Ambiguity and Fuzziness.

[1]  S. Lou,et al.  Nonclassical symmetry reductions for the dispersive wave equations in shallow water , 1992 .

[2]  Abdul-Majid Wazwaz,et al.  The tanh method: exact solutions of the sine-Gordon and the sinh-Gordon equations , 2005, Appl. Math. Comput..

[3]  Ji-Huan He,et al.  Variational iteration method for autonomous ordinary differential systems , 2000, Appl. Math. Comput..

[4]  A. Wazwaz.  THE TANH AND THE SINE–COSINE METHODS FOR A RELIABLE TREATMENT OF THE MODIFIED EQUAL WIDTH EQUATION AND ITS VARIANTS , 2006 .

[5]  Sheng Zhang,et al.  Application of Exp-function method to a KdV equation with variable coefficients , 2007 .

[6]  Sen-Yue Lou,et al.  Symmetries and algebras of the integrable dispersive long wave equations in (2+1)-dimensional spaces , 1994 .

[7]  Ji-Huan He.  Variational iteration method – a kind of non-linear analytical technique: some examples , 1999 .

[8]  Mingliang Wang.  Exact solutions for a compound KdV-Burgers equation , 1996 .

[9]  W. Hereman,et al.  The tanh method: I. Exact solutions of nonlinear evolution and wave equations , 1996 .

[10]  Sheng Zhang,et al.  The (G′/G)-expansion method for a discrete nonlinear Schrödinger equation , 2010 .

[11]  M. A. Abdou.  The extended F-expansion method and its application for a class of nonlinear evolution equations , 2007 .

[12]  Jafar Biazar,et al.  Exact solutions for non-linear Schrödinger equations by He's homotopy perturbation method , 2007 .

[13]  Pavel Winternitz,et al.  Group theoretical analysis of dispersive long wave equations in two space dimensions , 1990 .

[14]  Ji-Huan He,et al.  Exp-function method for nonlinear wave equations , 2006 .

[15]  Lou Sen-yue.  Similarity solutions of dispersive long‐wave equations in two space dimensions , 1995 .

[16]  Ji-Huan He.  Application of homotopy perturbation method to nonlinear wave equations , 2005 .

[17]  Jafar Biazar,et al.  AN ALTERNATE ALGORITHM FOR COMPUTING ADOMIAN DECOMPOSITION METHOD IN SPECIAL CASES , 2003 .

[18]  New exact solutions to MKDV-Burgers equation and (2 + 1)-dimensional dispersive long wave equation via extended Riccati equation method , 2009 .

[19]  Mingliang Wang,et al.  The (G' G)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics , 2008 .

[20]  M. Boiti,et al.  Spectral transform for a two spatial dimension extension of the dispersive long wave equation , 1987 .