  Impulsive noise is a problem encountered during the acquisition and
transmission of digital images. Fuzzy metrics dealing nicely with the nonlinear
nature of digital images are used in vector median-based filters for noise
reduction in colour and multichannel images. In this paper, We generalize the
concept of Fuzzy metric space (In the sense of George and Veeramani) and
introduce the notion of Generalized Fuzzy n-Metric Space. The theory for such
spaces is developed and as practical application, we propose some new filters
based on these Generalized fuzzy metrics for colour image processing.
