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The Improved Combination Rule of D Numbers and Its Application in Radiation Source Identification

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  • Xin Guan
  • Haiqiao Liu
  • Xiao Yi
  • Jing Zhao

Abstract

The D numbers theory is a novel theory to express uncertain information. It successfully overcomes some shortcomings of Dempster-Shafer theory, such as the conditions of exclusiveness hypothesis and completeness constraint. However, the combination rule of D numbers does not satisfy the associative property, which leads to limitations in practical application for D numbers. In this paper, the improved D numbers theory is proposed to overcome the weakness based on the analysis of D numbers’ combination rule. A new algorithm is constructed with the strict proof to simplify the combination rule. The similarities and differences among DS theory, D numbers, and the improved D numbers are introduced with the numerical analysis. An illustrative example of the radiation source identification is presented to demonstrate the effectiveness of the improved method.

Suggested Citation

  • Xin Guan & Haiqiao Liu & Xiao Yi & Jing Zhao, 2018. "The Improved Combination Rule of D Numbers and Its Application in Radiation Source Identification," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-10, September.
    • Handle: RePEc:hin:jnlmpe:6025680
    DOI: 10.1155/2018/6025680
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    Cited by:

    1. Yutong Song & Yong Deng, 2019. "A new method to measure the divergence in evidential sensor data fusion," International Journal of Distributed Sensor Networks, , vol. 15(4), pages 15501477198, April.

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