Physica2022,Vol.59610.DOI:10.1016/j.physa.2022.127214

A unified formulation of entropy and its application

Balakrishnan, Narayanaswamy Buono, Francesco Longobardi, Maria
Physica2022,Vol.59610.DOI:10.1016/j.physa.2022.127214

A unified formulation of entropy and its application

Balakrishnan, Narayanaswamy 1Buono, Francesco 2Longobardi, Maria2
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作者信息

  • 1. McMaster Univ
  • 2. Univ Napoli Federico II
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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. (C) 2022 Elsevier B.V. All rights reserved.

Key words

Measures of information/Shannon entropy/Tsallis entropy/Fractional entropy/Deng entropy/DempsterShafer theory of evidence

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出版年

2022
Physica

Physica

ISSN:0378-4371
被引量26
参考文献量21
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