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Fractional Deng Entropy and Extropy and Some Applications
Mohammad Reza Kazemi1, Saeid Tahmasebi2, Francesco Buono3
1Department of Statistics, Faculty of Science, Fasa University, Fasa 746-168-6688, Iran.
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.
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