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.

中文翻译：

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不确定性的双重测量：邓熵

熵最近被引入作为熵的对偶概念。此外，在 Dempster-Shafer 证据理论的背景下，Deng 研究了一种新的区分度量，称为 Deng 熵。在本文中，我们定义了邓熵并研究了它与邓熵的关系，并给出了例子以进行比较。研究了焦元变化下的邓熵行为。给出了最大邓熵的表征结果，最后，讨论了模式识别中的一个数值例子，以突出新措施的相关性。