Uncertainty measure based on Tsallis entropy in evidence theory

被引：68

作者：

Gao, Xiaozhuan ^{[1
]}

Liu, Fan ^{[1
]}

Pan, Lipeng ^{[1
]}

Deng, Yong ^{[1
]}

Tsai, Sang-Bing ^{[2
]}

机构：

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

[2] Univ Elect Sci & Technol China, Zhongshan Inst, Zhongshan 528402, Guangdong, Peoples R China

来源：

INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS | 2019年 / 34卷 / 11期

基金：

中国国家自然科学基金;

关键词：

basic probability assignment; belief function; Dempster-Shafer evidence theory; Tsallis entropy; uncertainty; COMBINING BELIEF FUNCTIONS; DEMPSTER-SHAFER THEORY; DECISION-MAKING METHOD; DIVERGENCE MEASURE; DENG ENTROPY; D NUMBERS; CLASSIFICATION; SPECIFICITY; COMBINATION; FRAMEWORK;

D O I：

10.1002/int.22185

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Dempster-Shafer evidence theory has been widely used in many applications due to its advantages with weaker conditions than Bayes probability. How to measure the uncertainty of basic probability assignment (BPA) in Dempster-Shafer evidence theory is an open and essential issue. Tsallis entropy as nonextensive entropy proposed according to multifractals has been used in many fields. In this paper, a new uncertainty measure of BPA is presented based on Tsallis entropy. The key issue is to determine the value of q in Tsallis entropy. In addition, this paper also analyzes the properties of proposed uncertainty measure. Some numerical examples are used to illustrate the efficiency of the proposed method. Finally, the paper also discusses the application of the proposed method in decision-making.

引用

页码：3105 / 3120

页数：16

共 50 条

[1] Complex Deng entropy for uncertainty measure in complex evidence theory
Tang, Chen
Xiao, Fuyuan
Engineering Applications of Artificial Intelligence, 2025, 141
[2] Plausibility Entropy: A New Total Uncertainty Measure in Evidence Theory Based on Plausibility Function
Cui, Yebi
Deng, Xinyang
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2023, 53 (06): : 3833 - 3844
[3] A Fractal-Based Complex Belief Entropy for Uncertainty Measure in Complex Evidence Theory
Wu, Keming
Xiao, Fuyuan
Zhang, Yi
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2025, 55 (02): : 910 - 924
[4] A novel quantum belief entropy for uncertainty measure in complex evidence theory
Wu, Keming
Xiao, Fuyuan
INFORMATION SCIENCES, 2024, 652
[5] Uncertainty measure in evidence theory
Yong DENG
ScienceChina(InformationSciences), 2020, 63 (11) : 5 - 23
[6] Uncertainty measure in evidence theory
Deng, Yong
SCIENCE CHINA-INFORMATION SCIENCES, 2020, 63 (11)
[7] Uncertainty measure in evidence theory
Yong Deng
Science China Information Sciences, 2020, 63
[8] Uncertainty relations in terms of the Tsallis entropy
Wilk, Grzegorz
Wlodarczyk, Zbigniew
PHYSICAL REVIEW A, 2009, 79 (06):
[9] Financial portfolios based on Tsallis relative entropy as the risk measure
Devi, Sandhya
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2019,
[10] Mutual Information Matrix and Global Measure based on Tsallis entropy
Behera, Satyajit
Contreras-Reyes, Javier E.
Kayal, Suchandan
NONLINEAR DYNAMICS, 2025, 113 (06) : 5239 - 5249

← 1 2 3 4 5 →