On the topological equivalence of some fuzzy flows near hyperbolic equilibria (Q423173)

The Grobman-Hartman theorem states that there exists a homeomorphism between a nonlinear system's trajectories and the corresponding linear system's trajectories near hyperbolic equilibria and so these systems are topologically equivalent. In this paper, the authors prove a theorem similar to the Grobman-Hartman theorem for fuzzy dynamical systems which states that, for fuzzy flows obtained from each system, the nonlinear and the linearized systems are topologically equivalent.