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# Entropies and Co-Entropies of Coverings with Application to Incomplete Information Systems

@article{Bianucci2007EntropiesAC, title={Entropies and Co-Entropies of Coverings with Application to Incomplete Information Systems}, author={Daniela Bianucci and Gianpiero Cattaneo and Davide Ciucci}, journal={Fundam. Inform.}, year={2007}, volume={75}, pages={77-105} }

- Published 2007 in Fundam. Inform.

Different generalizations to the case of coverings of the standard approach to entropy applied to partitions of a finite universe X are explored. In the first approach any covering is represented by an identity resolution of fuzzy sets on X and a corresponding probability distribution with associated entropy is defined. A second approach is based on a probability distribution generated by the covering normalizing the standard counting measure. Finally, the extension to a generic covering of the… CONTINUE READING