Fractional Deng Entropy and Extropy and Some Applications, By Saeid Tahmasebi

Research

Title	Fractional Deng Entropy and Extropy and Some Applications
Type	Article
Keywords	measures of uncertainty; fractional entropy; Deng entropy and extropy; classification and discrimination
Journal	Entropy
DOI	https://doi.org/10.3390/e23050623
Researchers	Mohammad Reza Kazemi (First researcher) , Saeid Tahmasebi (Second researcher) , Francesco Buono (Third researcher) , Maria Longobardi (Fourth researcher)

Abstract

Deng entropy and extropy are two measures useful in the Dempster–Shafer evidence theory (DST) to study uncertainty, following the idea that extropy is the dual concept of entropy. In this paper, we present their fractional versions named fractional Deng entropy and extropy and compare them to other measures in the framework of DST. Here, we study the maximum for both of them and give several examples. Finally, we analyze a problem of classification in pattern recognition in order to highlight the importance of these new measures.