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A Novel Method for Conflict Data Fusion Using an Improved Belief Divergence Measure in Dempster–Shafer Evidence Theory

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  • Yifan Liu
  • Tiantian Bao
  • Huiyun Sang
  • Zhaokun Wei

Abstract

Dempster–Shafer (D-S) evidence theory plays an important role in multisource data fusion. Due to the nature of the Dempster combination rule, there can be counterintuitive results when fusing highly conflicting evidence data. To date, conflict management in D-S evidence theory is still an open issue. Inspired by evidence modification considering internal indeterminacy and external support, a novel method for conflict data fusion is proposed based on an improved belief divergence, evidence distance, and belief entropy. First, an improved belief divergence measure is defined to characterize the discrepancy and conflict between bodies of evidence (BOEs). Second, evidence credibility is generated to describe the external support based on the complementary advantages of the improved belief divergence and evidence distance. Third, belief entropy is utilized to quantify the internal indeterminacy and further determine evidence weight. Lastly, the classical Dempster combination rule is applied to fuse the BOEs modified by their credibility degrees and weights. As the results of numerical examples and an application show, the proposed divergence measure can overcome the invalidity of the existing measures in some special cases. Additionally, the proposed fusion method recognizes the correct target with the highest belief value of 98.96%, which outperforms other related methods in conflict management. The proposed fusion method also displays better convergence, validity, and robustness.

Suggested Citation

  • Yifan Liu & Tiantian Bao & Huiyun Sang & Zhaokun Wei, 2021. "A Novel Method for Conflict Data Fusion Using an Improved Belief Divergence Measure in Dempster–Shafer Evidence Theory," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-15, October.
  • Handle: RePEc:hin:jnlmpe:6558843
    DOI: 10.1155/2021/6558843
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    Cited by:

    1. Tang, Yongchuan & Dai, Guoxun & Zhou, Yonghao & Huang, Yubo & Zhou, Deyun, 2023. "Conflicting evidence fusion using a correlation coefficient-based approach in complex network," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    2. Bao, Tiantian & Liu, Yifan & Yang, Zhongzhen & Wu, Shanhua & Yan, Zhenli, 2024. "Evaluating sustainable service quality in higher education from a multi-stakeholder perspective: An integrated fuzzy group decision-making method," Socio-Economic Planning Sciences, Elsevier, vol. 92(C).

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