On the Axiomatization of Generalized Entropic Metrics

Starting from an axiomatization of a generalization of Shannon entropy we introduce a set of axioms for a parametric family of distances over sets of partitions of finite sets. This family includes some well-known metrics used in data mining and in the study of finite functions.

• Type: Conference
• Year: 2007
• Where: ISMVL
• Authors: Dan A. Simovici
• Keywords: Artificial Intelligence, ISMVL 2007, Parametric Family, Shannon Entropy, This Family