Name
Title | ||
|---|---|---|
Entropies and Co-Entropies of Coverings with Application to Incomplete Information Systems |
Abstract | ||
|---|---|---|
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 Liang-Xu approach to entropy is investigated, both from the "global" and the "local" point of view. For each of these three possible entropies the complementary entropy (or co-entropy) is defined showing in particular that the Liang-Xu entropy is a co-entropy. |
Year | Venue | Keywords |
|---|---|---|
2007 | Fundam. Inform. | complementary entropy,associated entropy,standard counting measure,standard approach,incomplete information systems,finite universe x,corresponding probability distribution,liang-xu entropy,probability distribution,liang-xu approach,possible entropy,rough set theory,incomplete information |
DocType | Volume | Issue |
Journal | 75 | 1-4 |
ISSN | Citations | PageRank |
0169-2968 | 38 | 1.26 |
References | Authors | |
8 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Daniela Bianucci | 1 | 80 | 4.30 |
| Gianpiero Cattaneo | 2 | 566 | 58.22 |
| Davide Ciucci | 3 | 672 | 53.74 |