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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Main Authors: Ruonan Zhu, Jiaqi Chen, Bingyi Kang
Format: Article
Language:English
Published: IEEE 2020-01-01
Series:IEEE Access
Subjects:
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.
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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