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基于秩相关系数的相依证据融合研究

Research on the Fusion of Dependent Evidence Based on Rank Correlation Coefficient.

作者信息

Shi Fengjian, Su Xiaoyan, Qian Hong, Yang Ning, Han Wenhua

机构信息

School of Automation Engineering, Shanghai University of Electric Power, Shanghai 200090, China.

出版信息

Sensors (Basel). 2017 Oct 16;17(10):2362. doi: 10.3390/s17102362.

Abstract

In order to meet the higher accuracy and system reliability requirements, the information fusion for multi-sensor systems is an increasing concern. Dempster-Shafer evidence theory (D-S theory) has been investigated for many applications in multi-sensor information fusion due to its flexibility in uncertainty modeling. However, classical evidence theory assumes that the evidence is independent of each other, which is often unrealistic. Ignoring the relationship between the evidence may lead to unreasonable fusion results, and even lead to wrong decisions. This assumption severely prevents D-S evidence theory from practical application and further development. In this paper, an innovative evidence fusion model to deal with dependent evidence based on rank correlation coefficient is proposed. The model first uses rank correlation coefficient to measure the dependence degree between different evidence. Then, total discount coefficient is obtained based on the dependence degree, which also considers the impact of the reliability of evidence. Finally, the discount evidence fusion model is presented. An example is illustrated to show the use and effectiveness of the proposed method.

摘要

为了满足更高的精度和系统可靠性要求,多传感器系统的信息融合受到越来越多的关注。由于Dempster-Shafer证据理论(D-S理论)在不确定性建模方面具有灵活性,已在多传感器信息融合的许多应用中得到研究。然而,经典证据理论假设证据相互独立,这往往不现实。忽略证据之间的关系可能导致不合理的融合结果,甚至导致错误的决策。这一假设严重阻碍了D-S证据理论的实际应用和进一步发展。本文提出了一种基于秩相关系数处理相关证据的创新证据融合模型。该模型首先使用秩相关系数来度量不同证据之间的依赖程度。然后,基于依赖程度获得总折扣系数,该系数还考虑了证据可靠性的影响。最后,给出了折扣证据融合模型。通过一个例子说明了所提方法的使用和有效性。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/44a8/5676609/2dc388106af2/sensors-17-02362-g001.jpg

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