Power Law and Dimension of the Maximum Value for Belief Distribution With the Maximum Deng Entropy
Deng entropy is a novel and efficient uncertainty measure to deal with imprecise phenomenon, which is an extension of Shannon entropy. In this paper, power law and dimension of the maximum value for belief distribution with the max Deng entropy are presented, which partially uncover the inherent phy...
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Format: | Article |
Language: | English |
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IEEE
2020-01-01
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Series: | IEEE Access |
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Online Access: | https://ieeexplore.ieee.org/document/9026937/ |
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author | Ruonan Zhu Jiaqi Chen Bingyi Kang |
author_facet | Ruonan Zhu Jiaqi Chen Bingyi Kang |
author_sort | Ruonan Zhu |
collection | DOAJ |
description | Deng entropy is a novel and efficient uncertainty measure to deal with imprecise phenomenon, which is an extension of Shannon entropy. In this paper, power law and dimension of the maximum value for belief distribution with the max Deng entropy are presented, which partially uncover the inherent physical meanings of Deng entropy from the perspective of statistics. This indicated some work related to power law or scale-free can be analyzed using Deng entropy. The results of some numerical simulations are used to support the new views. |
first_indexed | 2024-04-11T11:44:17Z |
format | Article |
id | doaj.art-3e7ba626197040339fed2c827b027b39 |
institution | Directory Open Access Journal |
issn | 2169-3536 |
language | English |
last_indexed | 2024-04-11T11:44:17Z |
publishDate | 2020-01-01 |
publisher | IEEE |
record_format | Article |
series | IEEE Access |
spelling | doaj.art-3e7ba626197040339fed2c827b027b392022-12-22T04:25:42ZengIEEEIEEE Access2169-35362020-01-018477134771910.1109/ACCESS.2020.29790609026937Power Law and Dimension of the Maximum Value for Belief Distribution With the Maximum Deng EntropyRuonan Zhu0Jiaqi Chen1Bingyi Kang2https://orcid.org/0000-0003-2637-4695College of Information Engineering, Northwest A&F University, Yangling, ChinaCollege of Information Engineering, Northwest A&F University, Yangling, ChinaCollege of Information Engineering, Northwest A&F University, Yangling, ChinaDeng entropy is a novel and efficient uncertainty measure to deal with imprecise phenomenon, which is an extension of Shannon entropy. In this paper, power law and dimension of the maximum value for belief distribution with the max Deng entropy are presented, which partially uncover the inherent physical meanings of Deng entropy from the perspective of statistics. This indicated some work related to power law or scale-free can be analyzed using Deng entropy. The results of some numerical simulations are used to support the new views.https://ieeexplore.ieee.org/document/9026937/Deng entropypower lawmaximum Deng entropydimension |
spellingShingle | Ruonan Zhu Jiaqi Chen Bingyi Kang Power Law and Dimension of the Maximum Value for Belief Distribution With the Maximum Deng Entropy IEEE Access Deng entropy power law maximum Deng entropy dimension |
title | Power Law and Dimension of the Maximum Value for Belief Distribution With the Maximum Deng Entropy |
title_full | Power Law and Dimension of the Maximum Value for Belief Distribution With the Maximum Deng Entropy |
title_fullStr | Power Law and Dimension of the Maximum Value for Belief Distribution With the Maximum Deng Entropy |
title_full_unstemmed | Power Law and Dimension of the Maximum Value for Belief Distribution With the Maximum Deng Entropy |
title_short | Power Law and Dimension of the Maximum Value for Belief Distribution With the Maximum Deng Entropy |
title_sort | power law and dimension of the maximum value for belief distribution with the maximum deng entropy |
topic | Deng entropy power law maximum Deng entropy dimension |
url | https://ieeexplore.ieee.org/document/9026937/ |
work_keys_str_mv | AT ruonanzhu powerlawanddimensionofthemaximumvalueforbeliefdistributionwiththemaximumdengentropy AT jiaqichen powerlawanddimensionofthemaximumvalueforbeliefdistributionwiththemaximumdengentropy AT bingyikang powerlawanddimensionofthemaximumvalueforbeliefdistributionwiththemaximumdengentropy |