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Visualization of basic probability assignment [PDF]
Abstract Applying geometry to the analysis and interpretation of basic probability assignment(BPA) is a unique research direction in evidence theory. Though the geometric representation of BPA has been proposed, the visualization method of BPA is still lack of sufficient research.
Hongfeng Long +2 more
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Multiscale Probability Transformation of Basic Probability Assignment [PDF]
Decision making is still an open issue in the application of Dempster‐Shafer evidence theory. A lot of works have been presented for it. In the transferable belief model (TBM), pignistic probabilities based on the basic probability assignments are used for decision making.
Meizhu Li, Xi Lu, Qi Zhang, Yong Deng
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Since the Dempster-Shafer evidence theory was developed, it has been extensively concerned by researchers. Compared with Bayesian probability theory, Dempster-Shafer evidence theory satisfies weaker constraints and has the advantage to indicate ...
Zichong Chen, Xianwen Luo
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Study on the Basic Probability Assignment Based on Grey Relational Analysis and Gaussian Membership
Dempster-Shafer(D-S) evidence theory is one of the most widely used methods in the field of data fusion. The key step in applying D-S evidence theory is to determine the basic probability assignment(BPA), but how to determine it appropriately is still a ...
Siqiang Zhong +2 more
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A new approach for generation of generalized basic probability assignment in the evidence theory [PDF]
The process of information fusion needs to deal with a large number of uncertain information with multi-source, heterogeneity, inaccuracy, unreliability, and incompleteness. In practical engineering applications, Dempster-Shafer evidence theory is widely used in multi-source information fusion owing to its effectiveness in data fusion.
Yongchuan Tang, Dongdong Wu, Zijing Liu
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A mass assignment based ID3 algorithm for decision tree induction [PDF]
A mass assignment based ID3 algorithm for learning probabilistic fuzzy decision trees is introduced. Fuzzy partitions are used to discretize continuous feature universes and to reduce complexity when universes are discrete but with large cardinalities ...
Baldwin, JF, Martin, TP, Lawry, J
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It is still an open issue to measure uncertainty of the basic probability assignment function under Dempster-Shafer theory framework, which is the foundation and preliminary work for conflict degree measurement and combination of evidences.
Yonggang Zhao +4 more
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Fault diagnosis is a problem processing variable information obtained from different sources in nature. Evidence theory, efficient to deal with information viewed as evidence, is widely used in fault diagnosis.
Hepeng Zhang, Yong Deng
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Deng entropy has been proposed to measure the uncertainty degree of basic probability assignment in evidence theory. In this paper, the condition of the maximum of Deng entropy is discussed.
Bingyi Kang, Yong Deng
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Transformation of basic probability assignments to probabilities based on a new entropy measure
Dempster-Shafer evidence theory is an efficient mathematical tool to deal with uncertain information. In that theory, basic probability assignment (BPA) is the basic element for the expression and inference of uncertainty. Decision-making based on BPA is still an open issue in Dempster-Shafer evidence theory.
Xinyang Deng, Yong Deng 0001
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