Title :
An abstract axiomatization of the notion of entropy
Author :
Rosenberg, Ivo G. ; Simovici, Dan A.
Author_Institution :
Dept. de Mathematiques, Montreal Univ., Que., Canada
Abstract :
We present an abstract axiomatization of generalized entropy using the notion of ordinal number and the new concept of systemic set of equivalence relations. The axiomatization applies to arbitrary sets and extends previous results obtained for the finite case.
Keywords :
entropy; equivalence classes; set theory; abstract axiomatization; arbitrary set; equivalence relation; generalized entropy; ordinal number; Circuits; Entropy; History; Impurities; Information theory; Logic functions; Minimization; Power dissipation; Probability distribution; Radio access networks;
Conference_Titel :
Multiple-Valued Logic, 2005. Proceedings. 35th International Symposium on
Print_ISBN :
0-7695-2336-6
DOI :
10.1109/ISMVL.2005.7
