Entropy of Random Permutation Set

被引：33

作者：

Chen, Luyuan ^{[1
]}

Deng, Yong ^{[1
,2
]}

机构：

[1] Univ Elect Sci & Technol China, Inst Fundamental & Frontier Sci, Chengdu, Peoples R China

[2] Vanderbilt Univ, Sch Med, Nashville, TN, Peoples R China

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2024年 / 53卷 / 11期

基金：

中国国家自然科学基金;

关键词：

Random permutation set; entropy of random permutation set; Shannon entropy; Deng entropy; type-2 Deng entropy; uncertainty measure; DEMPSTER-SHAFER THEORY; DECISION-MAKING; DENG-ENTROPY; PERSPECTIVE;

D O I：

10.1080/03610926.2023.2173975

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Recently, a new kind of set, named Random Permutation Set (RPS), has been presented. RPS takes the permutation of a certain set into consideration, which can be regarded as an ordered extension of evidence theory. Uncertainty is an important feature of RPS. A straightforward question is how to measure the uncertainty of RPS. To address this issue, the entropy of RPS (RPS entropy) is presented in this article. The proposed RPS entropy is compatible with Deng entropy and Shannon entropy. In addition, RPS entropy meets probability consistency, additivity, and subadditivity. Numerical examples are designed to illustrate the efficiency of the proposed RPS entropy. Besides, a comparative analysis of the choice of applying RPS entropy, Deng entropy, and Shannon entropy is also carried out.

引用

页码：4127 / 4146

页数：20

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