D-S证据理论的不足及其数学修正

陈炜军; 景占荣; 袁芳菲; 朱安福

您当前的位置：

首页 >

文章列表页 >

D-S证据理论的不足及其数学修正

电子与电子信息 | 更新时间：2026-09-14

- D-S证据理论的不足及其数学修正
- Shortcoming of D-S Evidence Theory and Its Mathematic Modification
- 中北大学学报（自然科学版） 2010年31卷第2期页码：161-168
- 作者机构：
  
  1. 西北工业大学电子信息学院
  2. 南昌市第十九中学
- 作者简介：
- 基金信息：
  
  航天支撑技术基金资助项目(N7CH0004);航天科技创新基金资助项目(N7CH0003)
- DOI：
  中图分类号：
- 纸质出版：2010
- 稿件说明：
移动端阅览
陈炜军, 景占荣, 袁芳菲, 等. D-S证据理论的不足及其数学修正[J]. 中北大学学报（自然科学版）, 2010,31(2):161-168.

陈炜军, 景占荣, 袁芳菲, et al. Shortcoming of D-S Evidence Theory and Its Mathematic Modification[J]. 2010, 31(2): 161-168.
陈炜军, 景占荣, 袁芳菲, 等. D-S证据理论的不足及其数学修正[J]. 中北大学学报（自然科学版）, 2010,31(2):161-168. DOI：

陈炜军, 景占荣, 袁芳菲, et al. Shortcoming of D-S Evidence Theory and Its Mathematic Modification[J]. 2010, 31(2): 161-168. DOI：

摘要

针对D-S证据理论对高冲突证据融合得到有悖常理的无效结果问题

研究了国内外典型文献提出的各种改进方法

从原理上对其进行了组合规则的修正和证据源的修正两大分类

并对各种方法的不足进行了数理分析和总结.在此基础上引入证据信息容量和证据间距离函数来对各传感器提供的证据信息进行预处理

再对得到的新的证据信息用证据可信度作为权重进行加权融合.数值仿真实验表明:这种新的修正模型不但比较好地结合了两类改进方法的优点

在形式上和Dempster组合规则保持一致

而且能较好地处理冲突证据在信息交叉时的融合

取得了更加合理的效果

并且为D-S证据理论的完善提供了一个新的探索途径.

Abstract

In allusion to counterintuitive conclusion produced by D-S theory of evidence

when it deals with high conflicting evidence

it was firstly studied the various improved methods of domestic and overseas typical documents

and classified them by D-S combination rule and the evidence source

analyzed and summarized the shortcoming of each method.On this foundation

"evidence information capacity" and "evidence distance function" were introduced into pretreating evidence information from various sensors

then "evidence credible function" was used as right-weight to fuse these new evidence information.The numerical simulation result shows that this new modification model not only combines the advantages of the two improved methods

but also can process better the fusion of conflict information in cross.This combination formula of the new modification model reaches better result and provides a new way to improve D-S theory of evidence.

关键词

Keywords

references

Shafer G.A Mathematical Theory of Evidence[M].Princeton:Princeton University Press,1976.

Dubios D,Prade H.A survey of belief revision and updating rules in various uncertainty models[J].InternationalJournal of Intelligent Systems,1994(9):61-100.

康耀红.数据融合的理论与运用[M].陕西:西安电子科技大学出版社,1997.

Yager R.On the dempster shafer framework and new combination rules[J].Information Sciences,1987(41):93-137.

Lefevre E,Colot O,Vannoorenberghe P.Belief function combination and conflict management[J].Information Fu-sion,2002,3(3):149-162.

孙全,叶秀清,顾伟康.一种新的基于证据理论的合成公式[J].电子学报,2000,28(8):117-119.Sun Quan,Ye Xiuqing,Gu Weikang.A new combination rule of evidence theory[J].Acta Electronica Sinica,2000,28(8):117-119.(in Chinese)

李弼程,王波,魏俊,等.一种有效的证据理论合成公式[J].数据采集与处理,2002,17(1):33-36.Li Bicheng,Wang Bo,Wei Jun,et al.An efficient combination rule of evidence theory[J].Journal of Data Acquisi-tion&Processing,2002,17(1):33-36.(in Chinese)

向阳,史习智.证据理论合成规则的一点修正[J].上海交通大学学报,1999,33(3):357-360.Xiang Yang,Shi Xizhi.Modification on combination rules of evidence theory[J].Journal of Shanghai Jiaotong Uni-versity,1999,33(3):357-360.(in Chinese)

Murphy C K.Combining belief functions when evidence conflicts[J].Decision Support Systems,2000,29(1):1-9.

徐凌宇,尹国成,宫义山,等.基于不同置信度的证据组合规则及应用[J].东北大学学报,2002,23(2):123-125.Xu Lingyu,Yin Guocheng,Gong Yishan,et al.Combination rules of various credibility evidences and application[J].Journal of Northeastern University,2002,23(2):123-125.(in Chinese)

梁昌勇,陈增明,黄永青,等.Dempster-Shafer合成法则悖论的一种消除方法[J].系统工程理论与实践,2005(3):7-12.Liang Changyong,Chen Zengming,Huang Yongqing,et al.A method of dispelling the absurdities of dempster-shafer’s rule of combination[J].Systems Engineering-Theory&Practice.,2005(3):7-12.(in Chinese)

邓勇,施文康,朱振福.一种有效处理冲突证据的组合方法[J].红外与毫米波学报,2004,23(1):27-32.Deng Yong,Shi Wenkang,Zhu ZhenFu.Efficient combination approach of conflict evidence[J].Journal of InfraredMillimeter Wave,2004,23(1):27-32.(in Chinese)

Haenni R.Are alternatives to Dempster′s rule of combination real alternatives?:Comments on“About the belieffunction combination and the conflict management problem”[J].Information Fusion,2002,3(4):237-239.

Jousselme A L,Grenier D,Bosse E.A new distance between two bodies of evidence[J].Information Fusion,2001,2(1):91-101.

李剑峰,乐光新,尚勇.基于改进型D-S证据理论的决策层融合滤波算法[J].电子学报,2004,32(7):1160-1164.Li Jianfeng,Yue Guangxin,Shang Yong.Decision-level fusion filtering algorithm based on advanced D-S theory ofevidence[J]Acta Electronica Sinica,2004,32(7):1160-1164.(in Chinese)

浏览量

1204

下载量

CSCD

文章被引用时，请邮件提醒。

提交

工具集

关联资源

捷联惯导评估系统中多传感器信息融合的应用

基于模糊推理原则的车载多传感器全方位酒精检测系统

自主移动机器人的自定位问题研究

基于模糊积分的多源信息融合及目标融合识别方法

一种多传感器信息融合中的分布模型