A Dual Measure of Uncertainty: The Deng Extropy
The extropy has recently been introduced as the dual concept of entropy. Moreover, in the context of the Dempster–Shafer evidence theory, Deng studied a new measure of discrimination, named the Deng entropy. In this paper, we define the Deng extropy and study its relation with Deng entropy, and exam...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-05-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/22/5/582 |
| _version_ | 1797567374303428608 |
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| author | Francesco Buono Maria Longobardi |
| author_facet | Francesco Buono Maria Longobardi |
| author_sort | Francesco Buono |
| collection | DOAJ |
| description | The extropy has recently been introduced as the dual concept of entropy. Moreover, in the context of the Dempster–Shafer evidence theory, Deng studied a new measure of discrimination, named the Deng entropy. In this paper, we define the Deng extropy and study its relation with Deng entropy, and examples are proposed in order to compare them. The behaviour of Deng extropy is studied under changes of focal elements. A characterization result is given for the maximum Deng extropy and, finally, a numerical example in pattern recognition is discussed in order to highlight the relevance of the new measure. |
| first_indexed | 2024-03-10T19:42:02Z |
| format | Article |
| id | doaj.art-9a7312ef3dd54de5876d05f747a7521b |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T19:42:02Z |
| publishDate | 2020-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-9a7312ef3dd54de5876d05f747a7521b2023-11-20T01:13:17ZengMDPI AGEntropy1099-43002020-05-0122558210.3390/e22050582A Dual Measure of Uncertainty: The Deng ExtropyFrancesco Buono0Maria Longobardi1Dipartimento di Matematica e Applicazioni “Renato Caccioppoli”, Università degli Studi di Napoli Federico II, I-80126 Naples, ItalyDipartimento di Biologia, Università degli Studi di Napoli Federico II, I-80126 Naples, ItalyThe extropy has recently been introduced as the dual concept of entropy. Moreover, in the context of the Dempster–Shafer evidence theory, Deng studied a new measure of discrimination, named the Deng entropy. In this paper, we define the Deng extropy and study its relation with Deng entropy, and examples are proposed in order to compare them. The behaviour of Deng extropy is studied under changes of focal elements. A characterization result is given for the maximum Deng extropy and, finally, a numerical example in pattern recognition is discussed in order to highlight the relevance of the new measure.https://www.mdpi.com/1099-4300/22/5/582the Dempster–Shafer evidence theoryDeng entropyextropypattern recognition |
| spellingShingle | Francesco Buono Maria Longobardi A Dual Measure of Uncertainty: The Deng Extropy Entropy the Dempster–Shafer evidence theory Deng entropy extropy pattern recognition |
| title | A Dual Measure of Uncertainty: The Deng Extropy |
| title_full | A Dual Measure of Uncertainty: The Deng Extropy |
| title_fullStr | A Dual Measure of Uncertainty: The Deng Extropy |
| title_full_unstemmed | A Dual Measure of Uncertainty: The Deng Extropy |
| title_short | A Dual Measure of Uncertainty: The Deng Extropy |
| title_sort | dual measure of uncertainty the deng extropy |
| topic | the Dempster–Shafer evidence theory Deng entropy extropy pattern recognition |
| url | https://www.mdpi.com/1099-4300/22/5/582 |
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