Abstract

This paper considers the perturbation analysis to the positive solution of fuzzy linear systems when both the coefficient matrix and the right hand side are perturbed. The original fuzzy linear systems are extended into a brand new and simple crisp matrix equation using an embedding method. By discussing the perturbation of the solution of extended crisp linear equation, the respective relative error bounds for solutions of fuzzy linear system are derived. A numerical example is given to illustrated our results.

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