Paper Info
Title
Information Entropy and Granulation Co---Entropy of Partitions and Coverings: A Summary
Abstract
Some approaches to the covering information entropy and some definitions of orderings and quasi---orderings of coverings will be described, generalizing the case of the partition entropy and ordering. The aim is to extend to covering the general result of anti---tonicity (strictly decreasing monotonicity) of partition entropy. In particular an entropy in the case of incomplete information systems is discussed, with the expected anti-tonicity result, making use of a partial partition strategy in which the missing information is treated as a peculiar value of the system.On the other side, an approach to generate a partition from a covering is illustrated. In particular, if we have a covering 驴 coarser than another covering 驴 with respect to a certain quasi order relation on coverings, the induced partition 驴(驴) results to be coarser than 驴(驴) with respect to the standard partial ordering on partitions. Thus, one can compare the two coverings through the entropies of the induced partitions.
Year
DOI
Venue
2009
10.1007/978-3-642-03281-3_2
T. Rough Sets
Keywords
DocType
Volume
coverings,missing information,expected anti-tonicity result,probability distributions,partitions,entropy,induced partition,certain quasi order relation,partial partition strategy,anti-tonicity.,co-entropy,partition entropy,isotonicity,information entropy,partial ordering,partial partitions,granulation co,incomplete information system,peculiar value,quasi-ordering,measure distributions,general result,incomplete information,partial order,probability distribution
Journal
10
ISSN
Citations 
PageRank 
0302-9743
31
0.95
References 
Authors
16
2
Name
Order
Citations
PageRank
Daniela Bianucci1804.30
Gianpiero Cattaneo256658.22