An axiomatization of generalized entropy of partitions
Dan A. Simovici, Szymon Jaroszewicz · 2002
The aim of this paper is to present an axiomatization of a generalization of Shannon's entropy. The newly proposed axiomatization yields as special cases the Havrada-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.