期刊
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS
卷 34, 期 6, 页码 1337-1347出版社
WILEY-HINDAWI
DOI: 10.1002/int.22098
关键词
Dempster-Shafer evidence theory; evidential correlation coefficient; probability transformation
资金
- National Natural Science Foundation of China [61703338, 61671384]
- Natural Science Basic Research Plan in Shaanxi Province of China [2018JQ6085]
The Dempster-Shafer evidence theory is widely used in many fields of information fusion because of its advantage in handling uncertain information. One of the key issues in this theory is how to make decision based on a basic probability assignment (BPA). Currently, a feasible scheme is transforming a BPA to a distribution of probabilities. However, little attention was paid to the correlation between BPA and probability distribution. In this paper, a novel method about the probability transformation based on a correlation coefficient of belief functions is proposed. The correlation coefficient is a new measurement, which can effectively measure the correlation between BPAs. The proposed method aims at maximizing the correlation coefficient between the given BPA and the transformed probability distribution. On the basis of this idea, the corresponding probability distribution can be obtained and could reflect the original information of the given BPA to the maximum extent. It is valid to consider that the proposed probability transformation method is reasonable and effective. Numerical examples are given to show the effectiveness of the proposed method.
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