Solving fuzzy equations: a new solution concept
Fuzzy Sets and Systems
Solving linear and quadratic fuzzy equations
Fuzzy Sets and Systems
Solving systems of linear fuzzy equations
Fuzzy Sets and Systems
Embedding problem of fuzzy number space: Part I
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Duality in fuzzy linear systems
Fuzzy Sets and Systems
Iteration algorithms for solving a system of fuzzy linear equations
Fuzzy Sets and Systems
Fuzzy Optimization and Decision Making
Fuzzy linear systems of the form A1x+b1=A2x+b2
Fuzzy Sets and Systems
Perturbation analysis of fuzzy linear systems
Information Sciences: an International Journal
Maximal- and minimal symmetric solutions of fully fuzzy linear systems
Journal of Computational and Applied Mathematics
Fuzzy symmetric solutions of fuzzy linear systems
Journal of Computational and Applied Mathematics
Information Sciences: an International Journal
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In this paper, we propose a simple and practical method to solve the dual fuzzy matrix equation Ax@?+B~=Cx@?+D~, in which A,C are mxn matrices and B~,D~ are mxp LR fuzzy numbers matrices. By means of the arithmetic operations on LR fuzzy numbers space, the dual fuzzy matrix equation could be converted into two classical matrix equations, and the LR minimal fuzzy solution and the strong (weak) LR minimal fuzzy solutions of the dual fuzzy matrix equation are derived by solving two classical matrix equations based on the generalized inverses of matrices. Meanwhile, as a special case of the dual fuzzy matrix equation, the fuzzy solutions of the dual fuzzy linear systems are investigated. Finally, some numerical examples are given to illustrate the effectiveness of the proposed method.