Abstract | ||
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Some approaches to the entropy of coverings, generalizing the case of the partition entropy, and some definitions of orderings and quasi-orderings of coverings as extensions to the covering context of various formulations of the standard order on partitions. Unfortunately, we here show that the problem of anti-monotonicity of non-pointwise entropy of coverings is still open. On the other side, we will illustrate an approach to generate a partition from a covering; we will then show how we can indirectly compare the entropies of two coverings, that are in a certain order relation, by comparing the entropies of the induced partitions. |
Year | DOI | Venue |
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2008 | 10.1007/978-3-540-79721-0_54 | RSKT |
Keywords | Field | DocType |
induced partition,certain order relation,standard order,partition entropy,non-pointwise entropy,various formulation,partial order,entropy,monotonicity | Monotonic function,Discrete mathematics,Generalization,Partition (number theory),Mathematics,Pointwise | Conference |
Volume | ISSN | ISBN |
5009 | 0302-9743 | 3-540-79720-3 |
Citations | PageRank | References |
2 | 0.40 | 8 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Daniela Bianucci | 1 | 80 | 4.30 |
Gianpiero Cattaneo | 2 | 566 | 58.22 |