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Open AccessArticle

A Dual Measure of Uncertainty: The Deng Extropy

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Dipartimento di Matematica e Applicazioni “Renato Caccioppoli”, Università degli Studi di Napoli Federico II, I-80126 Naples, Italy
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Dipartimento di Biologia, Università degli Studi di Napoli Federico II, I-80126 Naples, Italy
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Author to whom correspondence should be addressed.
Entropy 2020, 22(5), 582; https://doi.org/10.3390/e22050582
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)
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. View Full-Text
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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Buono, F.; Longobardi, M. A Dual Measure of Uncertainty: The Deng Extropy. Entropy 2020, 22, 582.

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