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A new rule to combine dependent bodies of evidence

  • Xiaoyan SuEmail author
  • Lusu Li
  • Hong Qian
  • Sankaran Mahadevan
  • Yong Deng
Foundations
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Abstract

Dempster’s rule of combination can only be applied to independent bodies of evidence. This paper proposes a new rule to combine dependent bodies of evidence. The rule is based on the concept of joint belief distribution, and can be seen as a generalization of Dempster’s rule. When the bodies of evidence are independent, the new combination rule will be reduced into Dempster’s rule. Two examples are illustrated to show the use and effectiveness of the proposed method.

Keywords

Information fusion Dempster–Shafer evidence theory Dependent evidence Generalized Dempster’s rule 

Notes

Acknowledgements

The authors greatly appreciate the reviewers’ suggestions and the editor’s encouragement. This work was partially supported by National Natural Science Foundation of China, (Grant Nos. 61503237, 61573290), “Chenguang Program” supported by Shanghai Education Development Foundation and Shanghai Municipal Education Commission, Shanghai Science and Technology Committee Key Program (Grant Nos. 18020500900, 15160500800), Shanghai Key Laboratory of Power Station Automation Technology (No. 13DZ2273800), Shanghai Education Commission Excellent Youth Project (No. ZZsdl15144).

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Xiaoyan Su
    • 1
    Email author
  • Lusu Li
    • 1
  • Hong Qian
    • 1
  • Sankaran Mahadevan
    • 2
  • Yong Deng
    • 3
  1. 1.School of Automation EngineeringShanghai University of Electric PowerShanghaiChina
  2. 2.School of EngineeringVanderbilt UniversityNashvilleUSA
  3. 3.Department of Biostatistics, School of MedicineVanderbilt UniversityNashvilleUSA

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