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Entropy
Volume 22
Issue 5
10.3390/e22050582
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Article

A Dual Measure of Uncertainty: The Deng Extropy

by
Francesco Buono
1 and
Maria Longobardi
2,*
1
Dipartimento di Matematica e Applicazioni “Renato Caccioppoli”, Università degli Studi di Napoli Federico II, I-80126 Naples, Italy
2
Dipartimento di Biologia, Università degli Studi di Napoli Federico II, I-80126 Naples, Italy
*
Author to whom correspondence should be addressed.
Entropy 2020, 22(5), 582; https://doi.org/10.3390/e22050582
Submission received: 6 May 2020 / Revised: 17 May 2020 / Accepted: 19 May 2020 / Published: 21 May 2020
(This article belongs to the Section Information Theory, Probability and Statistics)
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Abstract

The extropy has recently been introduced as the dual concept of entropy. Moreover, in the context of the Dempster–Shafer evidence theory, Deng studied a new measure of discrimination, named the Deng entropy. In this paper, we define the Deng extropy and study its relation with Deng entropy, and examples are proposed in order to compare them. The behaviour of Deng extropy is studied under changes of focal elements. A characterization result is given for the maximum Deng extropy and, finally, a numerical example in pattern recognition is discussed in order to highlight the relevance of the new measure.
Keywords: the Dempster–Shafer evidence theory; Deng entropy; extropy; pattern recognition the Dempster–Shafer evidence theory; Deng entropy; extropy; pattern recognition

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MDPI and ACS Style

Buono, F.; Longobardi, M. A Dual Measure of Uncertainty: The Deng Extropy. Entropy 2020, 22, 582. https://doi.org/10.3390/e22050582

AMA Style

Buono F, Longobardi M. A Dual Measure of Uncertainty: The Deng Extropy. Entropy. 2020; 22(5):582. https://doi.org/10.3390/e22050582

Chicago/Turabian Style

Buono, Francesco, and Maria Longobardi. 2020. "A Dual Measure of Uncertainty: The Deng Extropy" Entropy 22, no. 5: 582. https://doi.org/10.3390/e22050582

APA Style

Buono, F., & Longobardi, M. (2020). A Dual Measure of Uncertainty: The Deng Extropy. Entropy, 22(5), 582. https://doi.org/10.3390/e22050582

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