The unified extropy and its versions in classical and Dempster–Shafer theories

Measures of uncertainty are a topic of considerable and growing interest. Recently, the introduction of extropy as a measure of uncertainty, dual to Shannon entropy, has opened up interest in new aspects of the subject. Since there are many versions of entropy, a unified formulation has been introdu...

Full description

Saved in:
Bibliographic Details
Published inJournal of applied probability Vol. 61; no. 2; pp. 685 - 696
Main Authors Buono, Francesco, Deng, Yong, Longobardi, Maria
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 01.06.2024
Subjects
Codes
Entropy
Entropy (Information theory)
Original Article
Parameters
Random variables
Uncertainty
extropy
Tsallis entropy
62B10
94A17
Shannon entropy
fractional entropy
62H30
Dempster–Shafer theory
Online AccessGet full text

Cover

More Information
Summary:Measures of uncertainty are a topic of considerable and growing interest. Recently, the introduction of extropy as a measure of uncertainty, dual to Shannon entropy, has opened up interest in new aspects of the subject. Since there are many versions of entropy, a unified formulation has been introduced to work with all of them in an easy way. Here we consider the possibility of defining a unified formulation for extropy by introducing a measure depending on two parameters. For particular choices of parameters, this measure provides the well-known formulations of extropy. Moreover, the unified formulation of extropy is also analyzed in the context of the Dempster–Shafer theory of evidence, and an application to classification problems is given.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0021-9002
1475-6072
DOI:10.1017/jpr.2023.68