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.
Fractional Deng Entropy and Extropy and Some Applications / Reza Kazemi, Mohammad; Tahmasebi, Saeid; Buono, Francesco; Longobardi, Maria. - In: ENTROPY. - ISSN 1099-4300. - 23:5(2021), p. 623. [10.3390/e23050623]
Fractional Deng Entropy and Extropy and Some Applications
Francesco Buono;Maria Longobardi
2021
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.| File | Dimensione | Formato | |
|---|---|---|---|
|
entropy-23-00623.pdf
accesso aperto
Descrizione: Articolo principale
Tipologia:
Versione Editoriale (PDF)
Licenza:
Creative commons
Dimensione
273.54 kB
Formato
Adobe PDF
|
273.54 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
