An algebraic approach to similarity and categorization (1997) [1 citations — 0 self]
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by Mehdi Dastani, Bipin Indurkhya
In An Interdisciplinary Workshop On Similarity and Categorization
http://www.cs.uu.nl/~mehdi/publication/simcat.ps
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Abstract:
We extend Leeuwenberg's Structural Information Theory (SIT) to an algebraic framework, where domaindependent operators are allowed to become part of the perceptual gestalts. Using the SIT notion of `information load', we provide a structural notion of similarity and categorization. We introduce two complexity measures, namely descriptor complexity and member complexity, which drive categorization to opposite extremes, and propose a simple additive function to find an optimum balance between the two. We remark on how context effect in similarity and categorization can be modeled in our approach. Finally, we examine some implications of our work for the empirical research on categorization and similarity.
