Fractional Order Generalized Information

Entropy

关键词: information;    entropy;    fractional calculus;   

DOI  :  10.3390/e16042350

来源: mdpi

【 摘 要 】

This paper formulates a novel expression for entropy inspired in the properties of Fractional Calculus. The characteristics of the generalized fractional entropy are tested both in standard probability distributions and real world data series. The results reveal that tuning the fractional order allow an high sensitivity to the signal evolution, which is useful in describing the dynamics of complex systems. The concepts are also extended to relative distances and tested with several sets of data, confirming the goodness of the generalization.

【 授权许可】

CC BY   
© 2014 by the authors; licensee MDPI, Basel, Switzerland