期刊
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS
卷 34, 期 11, 页码 3105-3120出版社
WILEY
DOI: 10.1002/int.22185
关键词
basic probability assignment; belief function; Dempster-Shafer evidence theory; Tsallis entropy; uncertainty
资金
- National Natural Science Foundation of China [61973332]
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.
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