On Axiomatization of Conditional Entropy of Functions Between Finite Sets

Authors:
Szymon Jaroszewicz;Dan A. Simovici
Affiliations:
-;-
Venue:
ISMVL '99 Proceedings of the Twenty Ninth IEEE International Symposium on Multiple-Valued Logic
Year:
1999

Citing 0
Cited 3

Generalized Entropy and Projection Clustering of Categorical Data

PKDD '00 Proceedings of the 4th European Conference on Principles of Data Mining and Knowledge Discovery
An algebraic approach to entropy and its generalizations: a survey

Beyond two
Several remarks on the metric space of genetic codes

International Journal of Data Mining and Bioinformatics

Quantified Score

Hi-index	0.00

Visualization

Abstract

In this paper we present a new axiomatization of the notion of entropy of functions between finite sets and we introduce and axiomatize the notion of conditional entropy between functions. The results can be directly applied to logic functions, which can be regarded as functions between finite sets. Our axiomatizations are based on properties of entropy with regard to operations commonly applied to discrete functions and are related to the usage of entropy as a measure of the energy dissipated by circuits that implement discrete functions.