Perturbation analysis for a class of fuzzy linear systems

摘要

In this paper, the perturbation analysis is presented for a class of fuzzy linear systems which can be solved by an embedding method. We deduce the nonlinear upper perturbation bounds for the solutions, and discuss the normwise, mixed and componentwise condition numbers. The results show how the perturbations of the coefficient matrix and the right-hand vector impact the solutions to fuzzy linear systems.