Title
On non-pointwise entropies of coverings: relationship with anti-monotonicity
Abstract
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
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 Bianucci1804.30
Gianpiero Cattaneo256658.22