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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-05-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/23/5/623 |
| _version_ | 1797533837537837056 |
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| author | Mohammad Reza Kazemi Saeid Tahmasebi Francesco Buono Maria Longobardi |
| author_facet | Mohammad Reza Kazemi Saeid Tahmasebi Francesco Buono Maria Longobardi |
| author_sort | Mohammad Reza Kazemi |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-03-10T11:21:19Z |
| format | Article |
| id | doaj.art-ba042131f1384fbdafb95be0108ca64f |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T11:21:19Z |
| publishDate | 2021-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-ba042131f1384fbdafb95be0108ca64f2023-11-21T20:01:40ZengMDPI AGEntropy1099-43002021-05-0123562310.3390/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 |
| 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 |
| title | 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_short | Fractional Deng Entropy and Extropy and Some Applications |
| title_sort | fractional deng entropy and extropy and some applications |
| topic | measures of uncertainty fractional entropy Deng entropy and extropy classification and discrimination |
| url | https://www.mdpi.com/1099-4300/23/5/623 |
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