Generalized Belief Entropy and Its Application in Identifying Conflict Evidence

被引：67

作者：

Liu, Fan ^{[1
,2
]}

Gao, Xiaozhuan ^{[3
]}

Zhao, Jie ^{[3
]}

Deng, Yong ^{[3
]}

机构：

[1] Univ Elect Sci & Technol China, Yingcai Honors Sch, Chengdu 610054, Sichuan, Peoples R China

[2] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 610054, Sichuan, Peoples R China

[3] Univ Elect Sci & Technol China, Inst Fundamental & Frontier Sci, Chengdu 610054, Sichuan, Peoples R China

来源：

IEEE ACCESS | 2019年 / 7卷

基金：

中国国家自然科学基金;

关键词：

Belief entropy; Deng entropy; Renyi entropy; Tsallis entropy; uncertaintity; Dempster Shafer evidence theory; conflict evidence; EVIDENCE COMBINATION METHOD; DECISION-MAKING METHOD; RELIABILITY-ANALYSIS; MATHEMATICAL-THEORY; UNCERTAINTY; DISTANCE; TSALLIS; RENYI; TIME;

D O I：

10.1109/ACCESS.2019.2939332

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Dempster-Shafer evidence theory has wide applications in many fields. Recently, A new entropy called Deng entropy was proposed in evidence theory. Some scholars have pointed out that Deng Entropy does not satisfy the additivity in uncertain measurements. However, irreducibility may have a huge effect. The derived entropy from complex systems is often irreducible. Inspired by this, generalized belief entropy is proposed. The belief entropy implies the relationship between Deng entropy, Renyi entropy, Tsallis entropy. In addition, numerical examples demonstrate the flexibility of the proposed Renyi-Deng (R-D) entropy to measure the uncertainty of basic probability assignment (BPA). Finally, a method for identifying contradictory evidence based on Renyi-Deng (R-D) entropy is proposed. The experiment show the effectiveness of the proposed method.

引用

页码：126625 / 126633

页数：9

共 81 条

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