论文信息 - A discussion on "Calculating fuzzy inverse matrix using fuzzy linear equation system"

A discussion on "Calculating fuzzy inverse matrix using fuzzy linear equation system"

In the present note it is shown that the examples presented in a recent paper by Basaran are incorrect. The correct exact solutions are also presented here. In this way, a new direction for approximating fuzzy inverse matrix is proposed. In this paper, the first step we solve the center part of fully fuzzy linear system, then we solve the spread part of the equation system.

Maryam Mosleh | Mahmood Otadi | M. Otadi | M. Mosleh

[1] Mehdi Dehghan,et al. Solution of the fully fuzzy linear systems using iterative techniques , 2007 .

[2] S. Abbasbandy,et al. Minimal solution of general dual fuzzy linear systems , 2008 .

[3] Saeid Abbasbandy,et al. Conjugate gradient method for fuzzy symmetric positive definite system of linear equations , 2005, Appl. Math. Comput..

[4] Saeid Abbasbandy,et al. Numerical solution of fully fuzzy linear systems by fuzzy neural network , 2011, Soft Comput..

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

[6] D. Dubois,et al. Systems of linear fuzzy constraints , 1980 .

[7] Murat Alper Basaran,et al. Calculating fuzzy inverse matrix using fuzzy linear equation system , 2012, Appl. Soft Comput..

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

[9] Maryam Mosleh,et al. SIMULATION AND EVALUATION OF DUAL FULLY FUZZY LINEAR SYSTEMS BY FUZZY NEURAL NETWORK , 2011 .

[10] D. Dubois,et al. Operations on fuzzy numbers , 1978 .

[11] Saeid Abbasbandy,et al. LU decomposition method for solving fuzzy system of linear equations , 2006, Appl. Math. Comput..

[12] Silvia Muzzioli,et al. Fuzzy linear systems of the form A1x+b1=A2x+b2 , 2006, Fuzzy Sets Syst..