计算机应用 ›› 2015, Vol. 35 ›› Issue (2): 461-465.DOI: 10.11772/j.issn.1001-9081.2015.02.0461

• 人工智能 • 上一篇    下一篇

非单点证据体数据融合的Dempster组合规则适用性评价方法

刘哲席1,2, 阳建宏1, 杨德斌1, 黎敏1, 民现春2   

  1. 1. 北京科技大学 机械工程学院, 北京 100083;
    2. 平壤铁道大学 机械工程学院, 平壤 999093
  • 收稿日期:2014-09-22 修回日期:2014-11-13 出版日期:2015-02-10 发布日期:2015-02-12
  • 通讯作者: 阳建宏
  • 作者简介:刘哲席(1980-),男,朝鲜平壤人,博士研究生,主要研究方向:信息融合、不确定性推理、设备故障诊断; 阳建宏(1978-),男,广西桂林人,副教授,博士,主要研究方向:设备故障诊断状态评价、多源信息融合; 杨德斌(1965-),男,内蒙古包头人,研究员,主要研究方向:设备故障诊断状态评价、不确定性推理; 黎敏(1980-),女,广西柳州人,副教授,博士,主要研究方向:信号处理及模式识别、设备故障诊断状态评价; 民现春(1964-),男,朝鲜平壤人,教授,博士,主要研究方:故障诊断状态评价、多源信息融合。
  • 基金资助:

    国家自然科学基金资助项目(50905013, 51211130114);中央高校基本科研业务费专项资金资助项目(FRF-TP-09-014A)。

Applicability evaluating method of Dempster's combination rule for bodies of evidence with non-singleton elements

LIU Zhexi1,2, YANG Jianhong1, YANG Debin1, LI Min1, MIN Xianchun2   

  1. 1. School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, China;
    2. College of Mechanical Engineering, University of Railway Pyongyang, Pyongyang 999093, DPR of Korea
  • Received:2014-09-22 Revised:2014-11-13 Online:2015-02-10 Published:2015-02-12

摘要:

针对待融合的证据体包含基本概率分配值相差较大的非单点证据时,基于pignistic距离的Dempster组合规则适用性评价方法判定结果存在模糊性甚至不准确的问题,提出了一种表示证据体之间关联性的改进pignistic距离,并将改进的pignistic距离与经典冲突系数相结合,提出了对Dempster组合规则适用性评价的新方法。在新方法中,定义了一种新的证据体冲突衡量系数用于判定Dempster规则的适用性。当经典冲突系数为0时,新系数与改进pignistic距离一致;当经典冲突系数不为0时,新系数与改进pignistic距离和经典冲突系数之和的平均值一致。算例分析的结果表明,与基于pignistic距离的Dempster规则适用性评价方法相比,新的基于改进pignistic距离的Dempster组合规则适用性评价方法有较好的适用性和合理性。

关键词: 证据冲突, pignistic概率函数, 证据理论, 冲突系数, 证据距离

Abstract:

Aiming to overcome the problem that fuzzy or even inaccurate results will be concluded when evaluating the applicability of Dempster's combination rule while the bodies of evidence contain some non-singleton evidences which basic probability assignments have larger differences between any two bodies of evidence, a modified pignistic probability distance was proposed to describe the relevance between bodies of evidence. And then, combining the modified pignistic probability distance with the classical conflict coefficient, a new method of evaluating the applicability of Dempster's combination rule was presented. In the proposed method, a new conflict coefficient was defined to measure the conflict between bodies of evidence. The new conflict coefficient was consistent with the modified pignistic probability distance when the classical conflict coefficient was zero, and it was consistent with an average value of the modified pignistic probability distance and the classical conflict coefficient when the classical conflict coefficient was not zero. The results of the numerical analysis examples demonstrate that compared with the evaluating method based on the pignistic probability distance, the proposed method based on the improved pignistic probability distance can provide more applicable and reasonable evaluating results of the applicability of the Dempster's combination rule.

Key words: evidence conflict, pignistic probability function, evidence theory, conflict coefficient, evidence distance

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