Title :
An axiomatization of generalized entropy of partitions
Author :
Simovici, Dan A. ; Jaroszewicz, Szymon
Author_Institution :
Dept. of Math. & Comput. Sci., Massachusetts Univ., Boston, MA, USA
Abstract :
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
Keywords :
data mining; information theory; Gini index; Havrada-Charvat entropy; Shannon´s entropy; axiomatization; classification; data mining; generalized entropy of partitions; Artificial intelligence; Circuits; Data mining; Entropy; Impurities; Logic functions; Minimization; Power dissipation; Random variables;
Conference_Titel :
Multiple-Valued Logic, 2001. Proceedings. 31st IEEE International Symposium on
Conference_Location :
Warsaw
Print_ISBN :
0-7695-1083-3
DOI :
10.1109/ISMVL.2001.924582
