Positive fuzzy minimal solution for positive singular fully fuzzy Sylvester matrix equation

This paper aims to obtain positive fuzzy minimal solution for positive singular fully fuzzy Sylvester matrix equation (FFSE). A FFSE is said to be singular when the coefficient fuzzy matrix of the equation is not invertible whereby its determinant equal to zero. In obtaining the solution, first of all, the FFSE is converted to fully fuzzy linear system (FFLS) by using Kronecker product and Vec-operator. Then, by applying an associated linear matrix system approach, the crisp form of matrix is obtained. Finally, the solution of the equation is obtained by using method of pseudoinverse. A numerical example is also given in this paper.