Fractional Deng Entropy and Extropy and Some Applications

Fractional Deng Entropy and Extropy and Some Applications

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...

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Main Authors: Mohammad Reza Kazemi, Saeid Tahmasebi, Francesco Buono, Maria Longobardi
Format: Article
Language:English
Published: MDPI AG 2021-05-01
Series:Entropy
Subjects:
measures of uncertainty
fractional entropy
Deng entropy and extropy
classification and discrimination
Online Access:https://www.mdpi.com/1099-4300/23/5/623
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spelling doaj-ba042131f1384fbdafb95be0108ca64f2021-06-01T00:13:25ZengMDPI AGEntropy1099-43002021-05-012362362310.3390/e23050623Fractional Deng Entropy and Extropy and Some ApplicationsMohammad Reza Kazemi0Saeid Tahmasebi1Francesco Buono2Maria Longobardi3Department of Statistics, Faculty of Science, Fasa University, Fasa 746-168-6688, IranDepartment of Statistics, Persian Gulf University, Bushehr 751-691-3817, IranDipartimento di Matematica e Applicazioni “Renato Caccioppoli”, Università degli Studi di Napoli Federico II, 80138 Naples, ItalyDipartimento di Biologia, Università degli Studi di Napoli Federico II, 80138 Naples, ItalyDeng 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.https://www.mdpi.com/1099-4300/23/5/623measures of uncertaintyfractional entropyDeng entropy and extropyclassification and discrimination
collection DOAJ
language English
format Article
sources DOAJ
author Mohammad Reza Kazemi
Saeid Tahmasebi
Francesco Buono
Maria Longobardi
spellingShingle Mohammad Reza Kazemi
Saeid Tahmasebi
Francesco Buono
Maria Longobardi
Fractional Deng Entropy and Extropy and Some Applications
Entropy
measures of uncertainty
fractional entropy
Deng entropy and extropy
classification and discrimination
author_facet Mohammad Reza Kazemi
Saeid Tahmasebi
Francesco Buono
Maria Longobardi
author_sort Mohammad Reza Kazemi
title Fractional Deng Entropy and Extropy and Some Applications
title_short Fractional Deng Entropy and Extropy and Some Applications
title_full Fractional Deng Entropy and Extropy and Some Applications
title_fullStr Fractional Deng Entropy and Extropy and Some Applications
title_full_unstemmed Fractional Deng Entropy and Extropy and Some Applications
title_sort fractional deng entropy and extropy and some applications
publisher MDPI AG
series Entropy
issn 1099-4300
publishDate 2021-05-01
description 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.
topic measures of uncertainty
fractional entropy
Deng entropy and extropy
classification and discrimination
url https://www.mdpi.com/1099-4300/23/5/623
work_keys_str_mv AT mohammadrezakazemi fractionaldengentropyandextropyandsomeapplications
AT saeidtahmasebi fractionaldengentropyandextropyandsomeapplications
AT francescobuono fractionaldengentropyandextropyandsomeapplications
AT marialongobardi fractionaldengentropyandextropyandsomeapplications
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