Classical retrieval and overlap measures satisfy the requirements for rankings based on a Lorenz curve

Authors:
Leo Egghe;Ronald Rousseau
Affiliations:
LUC, Universitaire Campus, B-3590 Diepenbeek, Belgium and UA, IBW, Universiteitsplein 1, B-2610 Wilrijk, Belgium;UA, IBW, Universiteitsplein 1, B-2610 Wilrijk, Belgium and KHBO, IWT, Zeedijk 101, B-8400 Oostende, Belgium
Venue:
Information Processing and Management: an International Journal - Special issue: Formal methods for information retrieval
Year:
2006

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Abstract

Classical information retrieval and overlap measures such as the Jaccard index, the Dice coefficient and Salton's cosine measure can be characterized by Lorenz curves. This result demonstrates the existence of a formal link between information retrieval and the information sciences on the one hand, and concentration and diversity theory, as used, e.g., in social economics and ecology on the other.