Information measures based on fractional calculus

Authors:
Shiwei Yu;T. -Z. Huang;Xiaoyun Liu;Wufan Chen
Affiliations:
School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, 610054, China;School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, 610054, China;School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, 610054, China;School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, 610054, China
Venue:
Information Processing Letters
Year:
2012

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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.