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This paper provides a comprehensive analysis of the working and requirements of fuzzy systems with the view to devise appropriate visualisation framework and techniques for these systems using a user- and task-oriented approach. We firstly discuss the nature of fuzzy data and the essential components of typical fuzzy systems, then categorise different visualisation requirements from three perspectives: user of fuzzy systems, designer of fuzzy systems and designer of visualisation systems. The visualisation framework also include mechanisms for capturing users' profiles in order to customise the system to their own needs. We then examine how different visualisation techniques can be adapted to satisfy these requirements. Motivations for an architecture of a visualisation system which is based on a multi-agent approach are also presented.