Gene

Transformation (genetics)

Algorithm

Dempster–Shafer theory

Statistics

Applied mathematics

Basis (linear algebra)

Probability mass function

Distribution (mathematics)

Biochemistry

Data mining

Computer science

Mathematical optimization

Probability distribution

Fisher transformation

Correlation coefficient

Joint probability distribution

Correlation

Mathematics

Mathematical analysis

Artificial intelligence

Geometry

Measure (data warehouse)

Chemistry

International Journal of Intelligent Systems

International Journal of Intelligent SystemsVolume 34, Issue 6 p. 1337-1347 RESEARCH ARTICLE A new probability transformation method based on a correlation coefficient of belief functions Wen Jiang, Corresponding Author Wen Jiang jiangwen@nwpu.edu.cn School of Electronics and Information, Northwestern Polytechnical University, Xi'an, Shaanxi, China Correspondence Wen Jiang, School of Electronics and Information, Northwestern Polytechnical University, 710072 Xi'an, Shaanxi, China. Email: jiangwen@nwpu.edu.cnSearch for more papers by this authorChan Huang, Chan Huang School of Electronics and Information, Northwestern Polytechnical University, Xi'an, Shaanxi, ChinaSearch for more papers by this authorXinyang Deng, Xinyang Deng School of Electronics and Information, Northwestern Polytechnical University, Xi'an, Shaanxi, ChinaSearch for more papers by this author Wen Jiang, Corresponding Author Wen Jiang jiangwen@nwpu.edu.cn School of Electronics and Information, Northwestern Polytechnical University, Xi'an, Shaanxi, China Correspondence Wen Jiang, School of Electronics and Information, Northwestern Polytechnical University, 710072 Xi'an, Shaanxi, China. Email: jiangwen@nwpu.edu.cnSearch for more papers by this authorChan Huang, Chan Huang School of Electronics and Information, Northwestern Polytechnical University, Xi'an, Shaanxi, ChinaSearch for more papers by this authorXinyang Deng, Xinyang Deng School of Electronics and Information, Northwestern Polytechnical University, Xi'an, Shaanxi, ChinaSearch for more papers by this author First published: 01 February 2019 https://doi.org/10.1002/int.22098Citations: 71Read the full textAboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinkedInRedditWechat Abstract 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. CONFLICTS OF INTEREST The authors declare that they have no conflicts of interest. Citing Literature Volume34, Issue6June 2019Pages 1337-1347 RelatedInformation

A new probability transformation method based on a correlation coefficient of belief functions