期刊
APPLIED INTELLIGENCE
卷 41, 期 3, 页码 681-693出版社
SPRINGER
DOI: 10.1007/s10489-014-0546-9
关键词
Information fusion; Dempster-Shafer evidence theory; Basic probability assignment; Belief function; Gaussian process regression; Classification
资金
- National Natural Science Foundation of China [61174022]
- Specialized Research Fund for the Doctoral Program of Higher Education [20131102130002]
- National High Technology Research and Development Program of China (863 Program) [2013AA013801]
- open funding project of State Key Laboratory of Virtual Reality Technology and Systems, Beihang University [BUAA-VR-14KF-02]
- General Motors R D [ND0044200]
- SJTU
As an important tool for knowledge representation and decision-making under uncertainty, Dempster-Shafer evidence theory (D-S theory) has been used in many fields. The application of D-S theory is critically dependent on the availability of the basic probability assignment (BPA). The determination of BPA is still an open issue. A non-parametric method to obtain BPA is proposed in this paper. This method can handle multi-attribute datasets in classification problems. Each attribute value of the dataset sample is treated as a stochastic quantity. Its non-parametric probability density function (PDF) is calculated using the training data, which can be regarded as the probability model for the corresponding attribute. The BPA function is then constructed based on the relationship between the test sample and the probability models. The missing attribute values in datasets are treated as ignorance in the framework of the evidence theory. This method does not have the assumption of any particular distribution. As a result, it can be flexibly used in many engineering applications. The obtained BPA can avoid high conflict between evidence, which is desired in data fusion. Several benchmark classification problems are used to demonstrate the proposed method and to compare against existing methods. The constructed classifier based on the proposed method compares well to the state-of-the-art algorithms.
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