Sine Entropy of Uncertain Random Variables

被引：4
|
作者：
Shi, Gang [1 ]
Zhuang, Rujun [1 ]
Sheng, Yuhong [2 ]
机构：
[1] Xinjiang Univ, Coll Informat Sci & Engn, Urumqi 830046, Peoples R China
[2] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
来源：
SYMMETRY-BASEL | 2021年 / 13卷 / 11期
基金：
中国国家自然科学基金;
关键词：
chance theory; uncertain random variable; sine entropy; partial sine entropy;
D O I：
10.3390/sym13112023
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
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.
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页数：12
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