通信学报 ›› 2018, Vol. 39 ›› Issue (1): 117-125.doi: 10.11959/j.issn.1000-436x.2018003

• 学术论文 • 上一篇    下一篇

基于幂Pignistic概率距离的加权证据组合方法

朱京伟,王晓丹,宋亚飞,黄文龙   

  1. 空军工程大学防空反导学院,陕西 西安 710051
  • 修回日期:2017-12-02 出版日期:2018-01-01 发布日期:2018-02-07
  • 作者简介:朱京伟(1990-),男,陕西咸阳人,空军工程大学博士生,主要研究方向为模式识别、智能信息处理等。|王晓丹(1966-),女,陕西汉中人,空军工程大学教授、博士生导师,主要研究方向为机器学习、模式识别、智能信息处理等。|宋亚飞(1988-),男,河南汝州人,空军工程大学博士生,主要研究方向为模式识别、智能信息处理等。|黄文龙(1973-),男,重庆人,空军工程大学副教授,主要研究方向为智能信息处理、图像解译等。
  • 基金资助:
    国家自然科学基金资助项目(61273275);国家自然科学基金资助项目(60975026);国家自然科学基金资助项目(61703426);国家自然科学基金资助项目(61503407);航空科学基金资助项目(20151996015)

Weighted evidence combination method based on power-Pignistic probability distance

Jingwei ZHU,Xiaodan WANG,Yafei SONG,Wenlong HUANG   

  1. Air and Missile Defence College,Air Force Engineering University,Xi’an 710051,China
  • Revised:2017-12-02 Online:2018-01-01 Published:2018-02-07
  • Supported by:
    The National Natural Science Foundation of China(61273275);The National Natural Science Foundation of China(60975026);The National Natural Science Foundation of China(61703426);The National Natural Science Foundation of China(61503407);The Aviation Science Foundation of China(20151996015)

摘要:

针对现有的相似性/相异性测度在量化证据冲突时存在的不足,定义一种新的被称为幂Pignistic概率距离的相异性测度,并提出基于幂Pignistic概率距离的加权证据组合方法。该方法通过幂Pignistic概率距离量化两证据之间的冲突程度,然后建立相似性矩阵并求得各证据的可信度,再用加权平均法修正证据,最后利用Dempster规则进行组合。数值算例的结果表明,所提方法是合理有效的。

关键词: D-S证据理论, 幂集分配Pignistic概率函数, 幂Pignistic概率距离, 相似性/相异性测度

Abstract:

To deal with the shortcomings encountered when using the existing similarity/dissimilarity measures to quantify evidence conflict,a new dissimilarity measure called power-Pignistic probability distance was defined.Furthermore,a weighted evidence combination method was proposed based on power-Pignistic probability distance.The conflict degree between two pieces of evidence was quantified by the power-Pignistic probability distance.After that,a similarity measure matrix was constructed,based on which the credibility of evidence was obtained.Then the weighted average method was used to revise the evidence.Finally,the fusion was accomplished by using Dempster’s rule.The results of the numerical examples show the efficiency and rationality of the proposed method.

Key words: Dempster-Shafer evidence theory, power-set-distribution Pignistic probability function, power-Pignistic probability distance, similarity/dissimilarity measure

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