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}
}
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