A unified formulation of entropy and its application

Narayanaswamy Balakrishnan, Francesco Buono and Maria Longobardi

Physica A: Statistical Mechanics and its Applications, 2022, vol. 596, issue C

Abstract: In this paper, a general formulation of entropy is proposed. It depends on two parameters and includes Shannon, Tsallis and fractional entropy, all as special cases. This measure of information is referred to as fractional Tsallis entropy and some of its properties are then studied. Furthermore, the corresponding entropy in the context of Dempster–Shafer theory of evidence is proposed and referred to as fractional version of Tsallis–Deng entropy. Finally, an application to two classification problems is presented.

Keywords: Measures of information; Shannon entropy; Tsallis entropy; Fractional entropy; Deng entropy; Dempster–Shafer theory of evidence (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:596:y:2022:i:c:s0378437122002011

DOI: 10.1016/j.physa.2022.127214

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