فهرست نشریات علمی دسترسی آزاد ایران

In this article, the triangular and symmetric splitting iterative method is suggested for solving linear homogeneous systems of equations $πQ = 0$, where $Q$ is the stochastic rate matrix and π is the steady state vector. The homogeneous system is converted to the nonhomogeneous regularized fuzzy linear system $Ax = b$ with the small perturbation parameter $0 < r ≤ 1$. The regularized fuzzy linear system is converted into an embedded linear system. The iterative scheme is established; convergence criteria and its sensitivity analysis are analyzed using the numerical examples and conver-gence theorems. From the numerical results, it is evident to conclude that the proposed method is effective and efficient compared to the theoretical results.