Approximate solution of dual fuzzy matrix equations

2014 ◽  
Vol 266 ◽  
pp. 112-133 ◽  
Author(s):  
Zengtai Gong ◽  
Xiaobin Guo ◽  
Kun Liu
Keyword(s):  
Approximate Solution ◽  
Matrix Equations ◽  
Fuzzy Matrix

scholarly journals Fuzzy Approximate Solution of Positive Fully Fuzzy Linear Matrix Equations

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Xiaobin Guo ◽  
Dequan Shang
Keyword(s):  
Approximate Solution ◽  
Fuzzy Systems ◽  
Fuzzy Numbers ◽  
Existence Condition ◽  
Linear Matrix ◽  
Matrix Equations ◽  
Arithmetic Operations ◽  
Fuzzy Matrix ◽  
Fuzzy Solution ◽  
Linear Matrix Equations

The fuzzy matrix equationsA~⊗X~⊗B~=C~in whichA~,B~, andC~arem×m,n×n, andm×nnonnegative LR fuzzy numbers matrices, respectively, are investigated. The fuzzy matrix systems is extended into three crisp systems of linear matrix equations according to arithmetic operations of LR fuzzy numbers. Based on pseudoinverse of matrix, the fuzzy approximate solution of original fuzzy systems is obtained by solving the crisp linear matrix systems. In addition, the existence condition of nonnegative fuzzy solution is discussed. Two examples are calculated to illustrate the proposed method.

A note on “approximate solution of dual fuzzy matrix equations”

2017 ◽  
Vol 418-419 ◽  
pp. 184-185 ◽  
Author(s):  
Jeevan Jot Kaur ◽  
Amit Kumar
Keyword(s):  
Approximate Solution ◽  
Matrix Equations ◽  
Fuzzy Matrix

scholarly journals Inconsistent LR Fuzzy Matrix Equation

2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
Xiaobin Guo ◽  
Lijuan Wu
Keyword(s):  
Approximate Solution ◽  
Matrix Equation ◽  
Generalized Inverse ◽  
Matrix Theory ◽  
Sufficient Conditions ◽  
Mean Value ◽  
Matrix Equations ◽  
Fuzzy Matrix ◽  
Left And Right ◽  
The Mean

In this paper, the inconsistent LR fuzzy matrix equation A X ˜ = B ˜ is proposed and discussed. Firstly, the LR fuzzy matrix equation is transformed into two crisp matrix equations in which one determines the mean value and the other determines the left and right extends of fuzzy approximate solution. Secondly, the approximate solution of the LR fuzzy matrix equation is obtained by solving two crisp matrix equations according to the generalized inverse of crisp matrix theory. Then, sufficient conditions for the existence of strong LR fuzzy approximate solution are given. Finally, some numerical examples are given to illustrate our proposed method.

scholarly journals Solving fully fuzzy matrix equations

2012 ◽  
Vol 36 (12) ◽  
pp. 6114-6121 ◽  
Author(s):  
Mahmood Otadi ◽  
Maryam Mosleh
Keyword(s):  
Matrix Equations ◽  
Fuzzy Matrix

A method for solving fuzzy matrix equations

2017 ◽  
Vol 22 (7) ◽  
pp. 2095-2103 ◽  
Author(s):  
M. Amirfakhrian ◽  
M. Fallah ◽  
R. Rodríguez-López
Keyword(s):  
Matrix Equations ◽  
Fuzzy Matrix

scholarly journals Conjugate gradient algorithm for consistent generalized Sylvester-transpose matrix equations

2022 ◽  
Vol 7 (4) ◽  
pp. 5386-5407
Author(s):  
Kanjanaporn Tansri ◽  
◽  
Sarawanee Choomklang ◽  
Pattrawut Chansangiam
Keyword(s):  
Approximate Solution ◽  
Conjugate Gradient ◽  
Matrix Equation ◽  
Numerical Experiments ◽  
Finite Sequence ◽  
Gradient Algorithm ◽  
Matrix Equations ◽  
Effective Algorithm ◽  
Initial Matrix ◽  
And Performance

<abstract><p>We develop an effective algorithm to find a well-approximate solution of a generalized Sylvester-transpose matrix equation where all coefficient matrices and an unknown matrix are rectangular. The algorithm aims to construct a finite sequence of approximated solutions from any given initial matrix. It turns out that the associated residual matrices are orthogonal, and thus, the desire solution comes out in the final step with a satisfactory error. We provide numerical experiments to show the capability and performance of the algorithm.</p></abstract>

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