dual synthesis;  dual fuzzy matrix equations;  minimal solution;  Great solution;  Maximum solution matrix

The properties of the solution of the dual fuzzy matrix equation are discussed, the concept of the minimum solution M is proposed, and the method of on-table operation is given that is very simple to operate. The concept of maximum solution Xi is proposed, and the structural theorem Я=∪ki=1{X|MXXi} and the solution of the dual fuzzy matrix equation are given, and Я≠ΦM is the smallest solution. By solving the maximum solution matrix and the maximum solution combination of the simplest equations, the specific method of solving the maximum solution is given, and a complete theoretical system is established for the dual fuzzy matrix equation.