Title
Information measures based on fractional calculus
Abstract
In this letter, fractional calculus is used to propose the fractional entropy (FE) and the fractional mutual information (FMI) as the new forms of the information measure in a generalized Euclidean metric space. Being position-related and causal, FE and FMI are natural extensions and more generalized forms of Shannon entropy and mutual information, respectively.
Year
DOI
Venue
2012
10.1016/j.ipl.2012.08.019
Inf. Process. Lett.
Keywords
Field
DocType
generalized euclidean metric space,information measure,fractional mutual information,mutual information,shannon entropy,generalized form,new form,natural extension,fractional entropy,fractional calculus,entropy,randomized algorithms
Discrete mathematics,Transfer entropy,Joint quantum entropy,Quantum mutual information,Pure mathematics,Information diagram,Mutual information,Joint entropy,Fractional calculus,Entropy (information theory),Calculus,Mathematics
Journal
Volume
Issue
ISSN
112
23
0020-0190
Citations 
PageRank 
References 
2
0.40
5
Authors
4
Name
Order
Citations
PageRank
Shiwei Yu1689.54
T. Z. Huang211518.95
Xiaoyun Liu3497.10
Wufan Chen451159.06