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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

通信学报2018,Vol.39Issue(1):117-125,9.
通信学报2018,Vol.39Issue(1):117-125,9.DOI:10.11959/j.issn.1000-436x.2018003

基于幂Pignistic概率距离的加权证据组合方法

Weighted evidence combination method based on power-Pignistic probability distance

朱京伟 1王晓丹 1宋亚飞 1黄文龙1

作者信息

  • 1. 空军工程大学防空反导学院,陕西西安710051
  • 折叠

摘要

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.

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

Key words

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

分类

信息技术与安全科学

引用本文复制引用

朱京伟,王晓丹,宋亚飞,黄文龙..基于幂Pignistic概率距离的加权证据组合方法[J].通信学报,2018,39(1):117-125,9.

基金项目

国家自然科学基金资助项目(No.61273275,No.60975026,No.61703426,No.61503407) (No.61273275,No.60975026,No.61703426,No.61503407)

航空科学基金资助项目(No.20151996015)The National Natural Science Foundation of China (No.61273275,No.60975026,No.61703426,No.61503407),The Aviation Science Foundation of China (No.20151996015) (No.20151996015)

通信学报

OA北大核心CSCDCSTPCD

1000-436X

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