Research Article

Numerical Solutions for Coupled Trapezoidal Fully Fuzzy Sylvester Matrix Equations

Algorithm 1

Fuzzy matrix vectorization and Kronecker product algorithm for solving CTrFFSME
Step 1. Convert the CTrFFSME in equation (1) to four systems of linear matrix equations using Theorem 3
Step 2. Apply Vec-operator and Kronecker product on the systems obtained in Step 1
Step 3. Convert the obtained systems in Step 2 to a single system
Step 4. Multiply both sides of the system obtained in Step 3 by
Step 5. Solve the system of matrix equations in Step 4 and write the positive fuzzy solution as follows: