北京航空航天大学学报 ›› 2019, Vol. 45 ›› Issue (9): 1838-1847.doi: 10.13700/j.bh.1001-5965.2018.0787

• 论文 • 上一篇    下一篇

冲突证据决策新方法及应用

赵静, 关欣, 刘海桥   

  1. 海军航空大学 航空作战勤务学院, 烟台 264001
  • 收稿日期:2019-01-02 出版日期:2019-09-20 发布日期:2019-09-29
  • 通讯作者: 关欣 E-mail:597268914@qq.com
  • 作者简介:赵静,女,博士研究生。主要研究方向:不确定推理、目标识别;关欣,女,博士,教授,博士生导师。主要研究方向:信息对抗、目标跟踪与识别;刘海桥,男,硕士研究生。主要研究方向:不确定推理、目标识别。
  • 基金资助:
    国家自然科学基金(91538201,61671463,61571454);国防科技卓越青年科学基金(2017-JCJQ-2Q-003);泰山学者工程(ts201712072)

A new conflict evidence decision method and its application

ZHAO Jing, GUAN Xin, LIU Haiqiao   

  1. School of Aviation Operational Support, Navy Aviation University, Yantai 264001, China
  • Received:2019-01-02 Online:2019-09-20 Published:2019-09-29
  • Supported by:
    National Natural Science Foundation of China (91538201,61671463,61571454); National Defense Science and Technology Excellence Youth Talent Fund (2017-JCJQ-2Q-003); Taishan Scholar Engineering Special Fund (ts201712072)

摘要: 冲突证据决策方法研究是证据理论重要研究课题。鉴于现有的证据理论改进方法在冲突证据决策过程中存在计算量较大,归一化过程不合理,证据组合效果不理想等一系列问题,提出基于二次组合的冲突证据决策方法。首先,提出新的基于二次组合的冲突证据决策方法的流程图;然后,提出新的乘性归一化规则,并对新的乘性归一化规则进行算例分析,验证其合理性;最后,分析现有冲突度量函数的不足,并提出新的冲突度量函数,并分析冲突度量函数的合理性。通过算例分析,并与现有证据组合规则的比较表明,所提方法不仅计算量得以改善,组合结果也得到提升。

关键词: 冲突证据组合, 冲突度量函数, 乘性归一化规则, 证据理论, 二次组合

Abstract: Research on conflict evidence decision methods is an important research topic of evidence theory. In view of the existing problems in the evidence theory improvement process, such as large computational complexity, unreasonable normalization process and unsatisfactory evidence combination, this paper proposes a method based on quadratic combination for conflict evidence decision-making. Firstly, the paper proposes a new flowchart of conflict evidence decision method based on quadratic combination. Secondly, a new multiplicative normalization rule is proposed, and a new multiplicative normalization rule is analyzed by example to verify its rationality. Finally, the shortcomings of the existing conflict measurement function are analyzed, a new conflict measurement function is proposed, and the rationality of the conflict measurement function is analyzed. Through the analysis of examples and the comparison with the existing evidence combination rules, it is shown that the proposed method not only improves the calculation amount, but also improves the combination results.

Key words: conflict evidence combination, conflict metric function, multiplicative normalization rule, evidence theory, quadratic combination

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