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

doi:10.11959/j.issn.1000-436x.2019049

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基于Pignistic概率函数和相关系数的证据组合方法

学术论文 | 更新时间：2024-06-05

- 基于Pignistic概率函数和相关系数的证据组合方法
- Evidence combination method based on Pignistic function transformation and correlation coefficient
- 通信学报 2019年40卷第3期页码：73-79
- 作者机构：
  
  吉林大学通信工程学院，吉林长春 130012
- 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。" ]
- 基金信息：
  
  吉林大学基础科研基金资助项目(SXGJQY2017-9);吉林大学基础科研基金资助项目(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)
- DOI：10.11959/j.issn.1000-436x.2019049
  中图分类号： TP391
- 网络出版日期：2019-03，
  
  纸质出版日期：2019-03-25
- 稿件说明：
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杨晓萍, 廉伟健, 李孟杰, 等. 基于Pignistic概率函数和相关系数的证据组合方法[J]. 通信学报, 2019,40(3):73-79.

Xiaoping YANG, Weijian LIAN, Mengjie LI, et al. Evidence combination method based on Pignistic function transformation and correlation coefficient[J]. Journal on communications, 2019, 40(3): 73-79.
杨晓萍, 廉伟健, 李孟杰, 等. 基于Pignistic概率函数和相关系数的证据组合方法[J]. 通信学报, 2019,40(3):73-79. DOI： 10.11959/j.issn.1000-436x.2019049.

Xiaoping YANG, Weijian LIAN, Mengjie LI, et al. Evidence combination method based on Pignistic function transformation and correlation coefficient[J]. Journal on communications, 2019, 40(3): 73-79. DOI： 10.11959/j.issn.1000-436x.2019049.

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。

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.

关键词

Keywords

references

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