Ghanbari, M.Allahviranloo, T.Pedrycz, W.Nuraei, R.2024-05-192024-05-1920231683-35111683-6154https://doi.org10.30546/1683-6154.22.4.2023.382https://hdl.handle.net/20.500.12713/5045In this paper, dual fuzzy Sylvester matrix equations are studied for the first time. Two general approaches are presented to solve these equations. In the first approach, a dual fuzzy Sylvester matrix equation is transformed into a numeric linear system by Vec-operation and Kronecker product, where the dimension of the obtained system is much larger than the di-mension of original equation. In this reason, this method is not feasible for numerical solving of a dual fuzzy Sylvester matrix equation of a large dimension. In the second proposed approach, a dual fuzzy Sylvester matrix equation is transformed into two numeric Sylvester matrix equa-tions of the same dimensionality of the original problem. In the next step, a new iteration method is applied for solving the obtained numeric equations without using Vec-operation and Kronecker product. Finally, the efficiency and ability of the proposed method is illustrated by two numerical examples.eninfo:eu-repo/semantics/closedAccessDual Fuzzy Sylvester Matrix EquationKronecker ProductVec-OperationFuzzy NumberHomotopy Analysis MethodArticle224382399WOS:0011212072000072-s2.0-85179988890N/A10.30546/1683-6154.22.4.2023.382Q1