Measuring and Reducing Clutter in Euler Diagrams

Authors:
Chris John
Affiliations:
Visual Modelling Group, University of Brighton, Brighton BN2 4GJ, UK
Venue:
Electronic Notes in Theoretical Computer Science (ENTCS)
Year:
2005

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Abstract

When modelling with three or more sets Euler diagrams can become crowded or cluttered and their ability to intuitively represent relationships between sets diminishes. Projections are a notation that bring syntactic efficiency to Euler diagrams and the flexibility to represent relationships between sets in a variety of semantically equivalent ways. This paper briefly outlines the first sound and complete system of Euler diagrams to incorporate the notation of projections. It defines a metric for measuring clutter in a diagram and outlines an algorithm that, given a diagram of the system, finds a semantically equivalent diagram(s) with the minimal measure of clutter.