Sine Entropy of Uncertain Random Variables

Entropy is usually used to measure the uncertainty of uncertain random variables. It has been defined by logarithmic entropy with chance theory. However, this logarithmic entropy sometimes fails to measure the uncertainty of some uncertain random variables. In order to solve this problem, this paper...

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Autores principales:	Gang Shi, Rujun Zhuang, Yuhong Sheng
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	chance theory uncertain random variable sine entropy partial sine entropy Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/081440a155ea4922b6ddab19034cc63f
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spelling	oai:doaj.org-article:081440a155ea4922b6ddab19034cc63f2021-11-25T19:06:07ZSine Entropy of Uncertain Random Variables10.3390/sym131120232073-8994https://doaj.org/article/081440a155ea4922b6ddab19034cc63f2021-10-01T00:00:00Zhttps://www.mdpi.com/2073-8994/13/11/2023https://doaj.org/toc/2073-8994Entropy is usually used to measure the uncertainty of uncertain random variables. It has been defined by logarithmic entropy with chance theory. However, this logarithmic entropy sometimes fails to measure the uncertainty of some uncertain random variables. In order to solve this problem, this paper proposes two types of entropy for uncertain random variables: sine entropy and partial sine entropy, and studies some of their properties. Some important properties of sine entropy and partial sine entropy, such as translation invariance and positive linearity, are obtained. In addition, the calculation formulas of sine entropy and partial sine entropy of uncertain random variables are given.Gang ShiRujun ZhuangYuhong ShengMDPI AGarticlechance theoryuncertain random variablesine entropypartial sine entropyMathematicsQA1-939ENSymmetry, Vol 13, Iss 2023, p 2023 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	chance theory uncertain random variable sine entropy partial sine entropy Mathematics QA1-939
spellingShingle	chance theory uncertain random variable sine entropy partial sine entropy Mathematics QA1-939 Gang Shi Rujun Zhuang Yuhong Sheng Sine Entropy of Uncertain Random Variables
description	Entropy is usually used to measure the uncertainty of uncertain random variables. It has been defined by logarithmic entropy with chance theory. However, this logarithmic entropy sometimes fails to measure the uncertainty of some uncertain random variables. In order to solve this problem, this paper proposes two types of entropy for uncertain random variables: sine entropy and partial sine entropy, and studies some of their properties. Some important properties of sine entropy and partial sine entropy, such as translation invariance and positive linearity, are obtained. In addition, the calculation formulas of sine entropy and partial sine entropy of uncertain random variables are given.
format	article
author	Gang Shi Rujun Zhuang Yuhong Sheng
author_facet	Gang Shi Rujun Zhuang Yuhong Sheng
author_sort	Gang Shi
title	Sine Entropy of Uncertain Random Variables
title_short	Sine Entropy of Uncertain Random Variables
title_full	Sine Entropy of Uncertain Random Variables
title_fullStr	Sine Entropy of Uncertain Random Variables
title_full_unstemmed	Sine Entropy of Uncertain Random Variables
title_sort	sine entropy of uncertain random variables
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/081440a155ea4922b6ddab19034cc63f
work_keys_str_mv	AT gangshi sineentropyofuncertainrandomvariables AT rujunzhuang sineentropyofuncertainrandomvariables AT yuhongsheng sineentropyofuncertainrandomvariables
_version_	1718410257716215808

Sine Entropy of Uncertain Random Variables

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