This paper considers the problem of non-fragile  H∞ filtering for fuzzy discrete-time systems with the
consideration of the additive gain variations, which reflects the FWL effects in filter implementation. The introduction of the fuzzy property results in a more complex numerical computation problem. A notion of structured vertex separator is employed to approach the problem, and exploited to develop sufficient conditions for the non-fragile H∞ filter design in terms of solutions to a set of linear matrix inequalities(LMIs). The design renders the augmented system asymptotically stable and guarantees the H∞ attenuation level less than a prescribed level. A numerical example shows the effectivness of the proposed method.