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Visualization of basic probability assignment

delete2022-09-19
delete0
PRE
AI
H
Hongfeng Long
Z
Zhenming Peng *
Y
Yong Deng *
DOI：10.1007/s00500-022-07412-1delete
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Abstract

Abstract

En 中文
Applying geometry to the analysis and interpretation of basic probability assignment (BPA) is a unique research direction in evidence theory. Among them, the visualization of BPA helps to intuitively analyze the geometric properties and characteristics of BPA, which is an important research content in this direction, but there are currently few related studies. In response to this problem, we proposed a new BPA visualization method based on the vector representation of the BPA to illustrate the image of BPA directly. First, the basic point and the uncertain vectors could be obtained by the given BPA, and then we connected these components to construct the image of BPA. Through the image of BPA, we can effectively analyze the interaction effect of focal elements in BPA and observe the potential characteristics of BPA directly. For example, the uncertainty of focal elements can be expressed by geometric area. Moreover, the geometric meanings of parameters in the vector representation of the BPA can be explained. Finally, numerical examples are illustrated to demonstrate the advantages and related applications of the proposed method.
Keywords:
Dempster-Shafer evidence theory
Basic probability assignment visualization
Basic probability assignment vector
Uncertain vector

Journal

Soft Computing cover
Soft Computing
IF:
2.5
Papers:
1.0W
Citations:
2.1W

Organization

No organization information available