An axiomatization of partition entropy

  title={An axiomatization of partition entropy},
  author={Dan A. Simovici and Szymon Jaroszewicz},
  journal={IEEE Trans. Information Theory},
The aim of this paper is to present an axiomatization of a generalization of Shannon’s entropy starting from partitions of finite sets. The proposed axiomatization yields as special cases the Havrda-Charvat entropy, and thus, provides axiomatizations for the Shannon entropy, the Gini index, and for other types of entropy used in classification and data mining. Keywords—Shannon entropy, Gini index, Havrda-Charvat entropy, non-Shannon entropy. 
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