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» An axiomatization of partition entropy
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96
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TIT
2002
96views more  TIT 2002»
15 years 1 days ago
An axiomatization of partition entropy
Abstract-- 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 ...
Dan A. Simovici, Szymon Jaroszewicz
90
Voted
ISMVL
2007
IEEE
100views Hardware» more  ISMVL 2007»
15 years 6 months ago
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. T...
Dan A. Simovici
95
Voted
WCE
2007
15 years 1 months ago
A mathematical review of the generalized entropies and their matrix trace inequalities
Abstract– We review the properties of the generalized entropies in our previous papers in the following way. (1)A generalized Fannes’ inequality is shown by the axiomatically c...
Shigeru Furuichi
125
Voted
ISMVL
2005
IEEE
114views Hardware» more  ISMVL 2005»
15 years 6 months ago
An Abstract Axiomatization of the Notion of Entropy
Ivo G. Rosenberg, Dan A. Simovici
80
Voted
EOR
2008
99views more  EOR 2008»
14 years 12 months ago
An axiomatization of entropy of capacities on set systems
Aoi Honda, Michel Grabisch