通信学报 ›› 2019, Vol. 40 ›› Issue (3): 73-79.doi: 10.11959/j.issn.1000-436x.2019049

• 学术论文 • 上一篇    下一篇

基于Pignistic概率函数和相关系数的证据组合方法

杨晓萍,廉伟健,李孟杰,钱志鸿   

  1. 吉林大学通信工程学院,吉林 长春 130012
  • 修回日期:2018-08-22 出版日期:2019-03-01 发布日期:2019-04-04
  • 作者简介:杨晓萍(1963- ),女,黑龙江鹤岗人,博士,吉林大学教授、硕士生导师,主要研究方向为网络通信传输技术和多传感器数据融合技术。|廉伟健(1993- ),男,吉林梅河口人,吉林大学硕士生,主要研究方向为多传感器数据融合技术。|李孟杰(1994- ),男,河北邯郸人,吉林大学硕士生,主要研究方向为WSN负载均衡多径路由协议。|钱志鸿(1957- ),男,吉林长春人,博士,吉林大学教授、博士生导师,主要研究方向为基于物联网、D2D、Wi-Fi、RFID 等无线网络与通信技术。
  • 基金资助:
    吉林省校共建计划专项基金资助项目(SXGJQY2017-9);吉林大学高层次科技创新团队建设基金资助项目(2017TD-19);国家自然科学基金资助项目(61771219);吉林省科技厅重点科技研究发展基金资助项目(20180201081SF)

Evidence combination method based on Pignistic function transformation and correlation coefficient

Xiaoping YANG,Weijian LIAN,Mengjie LI,Zhihong QIAN   

  1. College of Communication Engineering,Jilin University,Changchun 130012,China
  • Revised:2018-08-22 Online:2019-03-01 Published:2019-04-04
  • Supported by:
    The Special Fund Project of Jilin Province School Co-Construction Plan(SXGJQY2017-9);The High-Level Technology Innovation Team Building Project of Jilin University(2017TD-19);The National Natural Science Foundation of China(61771219);The Science and Technology Research Development Fund of Jilin Provincial Science and Technology Agency(20180201081SF)

摘要:

D-S证据理论不能很好地解决证据之间高冲突的情况,得到的结果与事实相悖,并且在实际的应用中无法解决“一票否决”的问题。针对上述不足,提出了一种基于Pignistic概率函数和相关系数的新证据冲突衡量标准(Pcor)和基于该标准的加权证据组合方法。该方法用Pcor来衡量证据间的冲突,通过建立支持矩阵来确定各证据的支持度,用加权平均法修正证据,使用Dempster组合规则,最终得出与事实相符的结果。数值算例表明,所提方法有效地解决了高冲突证据组合问题,与相关算法相比,具有更好的收敛性。

关键词: D-S证据理论, 冲突衡量, 相关系数, 证据组合, 信任度

Abstract:

The situation of high conflict between evidences and one ballot veto cannot be solved by classical D-S rule,and the results obtained from classical D-S rule are contrary to the facts.To solve this problem,a new standard to measure conflicts between evidences was proposed based on the combination of Pignistic function transformation and correlation coefficient,and also a novel kind of weighted combination method which was applied to measure conflicts between evidences was put forward according to the standard.After that,a support matrix was constructed based from which the credibility of evidence was obtained,and the weighted average method was used to revise the evidence.Finally,the combination was accomplished by using Dempster’s rule.The result of numerical examples shows that it’s effective to solve the combination of conflicting evidence.Compared with other methods,the proposed method has good astringency.

Key words: D-S evidence theory, conflict measure, correlation coefficient, evidence combination, credibility

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