基于Pignistic概率转换和奇异值分解的证据冲突度量方法

郭兴林; 孙振晓; 周昱瑶; 漆莲芝; 张谊

doi:10.11959/j.issn.1000-436x.2021086

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基于Pignistic概率转换和奇异值分解的证据冲突度量方法

学术论文 | 更新时间：2024-06-05

- 基于Pignistic概率转换和奇异值分解的证据冲突度量方法
- Evidence conflict measurement method based on Pignistic probability transformation and singular value decomposition
- 通信学报 2021年42卷第4期页码：150-157
- 作者机构：
  
  中国工程物理研究院计算机应用研究所，四川绵阳 621900
- 作者简介：
  
  [ "郭兴林（1990- ），男，四川广元人，中国工程物理研究院计算机应用研究所工程师，主要研究方向为可信软件、形式化方法。" ]
  [ "孙振晓（1985- ），男，山东泰安人，中国工程物理研究院计算机应用研究所工程师，主要研究方向为可信软件、软件测试。" ]
  [ "周昱瑶（1988- ），女，纳西族，云南丽江人，中国工程物理研究院计算机应用研究所工程师，主要研究方向为可信软件、人工智能软件测试。" ]
  [ "漆莲芝（1978- ），女，四川成都人，中国工程物理研究院计算机应用研究所高级工程师，主要研究方向为可信软件、人工智能软件测试。" ]
  [ "张谊（1974- ），男，四川乐山人，中国工程物理研究院计算机应用研究所高级工程师，主要研究方向为软件测试、软件可靠性、需求建模。" ]
- 基金信息：
  
  国家国防科技工业局技术基础科研基金资助项目(JSZL2015212B001)
- DOI：10.11959/j.issn.1000-436x.2021086
  中图分类号： TP391
- 网络出版日期：2021-04，
  
  纸质出版日期：2021-04-25
- 稿件说明：
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郭兴林, 孙振晓, 周昱瑶, 等. 基于Pignistic概率转换和奇异值分解的证据冲突度量方法[J]. 通信学报, 2021,42(4):150-157.

Xinglin GUO, Zhenxiao SUN, Yuyao ZHOU, et al. Evidence conflict measurement method based on Pignistic probability transformation and singular value decomposition[J]. Journal on communications, 2021, 42(4): 150-157.
郭兴林, 孙振晓, 周昱瑶, 等. 基于Pignistic概率转换和奇异值分解的证据冲突度量方法[J]. 通信学报, 2021,42(4):150-157. DOI： 10.11959/j.issn.1000-436x.2021086.

Xinglin GUO, Zhenxiao SUN, Yuyao ZHOU, et al. Evidence conflict measurement method based on Pignistic probability transformation and singular value decomposition[J]. Journal on communications, 2021, 42(4): 150-157. DOI： 10.11959/j.issn.1000-436x.2021086.

摘要

针对常见证据冲突度量方法适应性差、准确性低的问题，提出了一种基于Pignistic概率转换和奇异值分解的证据冲突度量方法。首先通过Pignistic概率转换将证据焦元差异映射到信度差异上，构建证据复合信任函数矩阵。然后采用奇异值分解的方法提取矩阵特征，根据奇异值特性将矩阵特征空间划分为相似子空间和冲突子空间，综合考虑证据矩阵相似特性和冲突特性，将冲突子空间奇异值与相似子空间奇异值之比作为新的冲突度量因子。最后在全冲突场景、变信度场景、变焦元场景、焦元嵌套场景等多种证据冲突场景下将所提方法与常见方法进行了对比分析，结果表明所提方法具有适应性广、准确性高、稳定性好的特点。

Abstract

In view of the problem of poor adaptability and low accuracy of common evidence conflict measurement method

an evidence conflict measurement method based on Pignistic probability transformation and singular value decomposition was proposed.First

Pignistic probability transformation was used to map the evidence focal element difference to the belief difference

and the evidence composite belief function matrix was constructed.Then

the matrix features were extracted by singular value decomposition

and the matrix feature space was divided into similar subspace and conflict subspace according to singular value characteristics.Considering the similarity and conflict characteristics of the evidence matrix

and the ratio of the singular value of the conflict subspace to the singular value of the similar subspace was taken as the new conflict measure factor.Finally

the proposed method was compared with common methods in various evidence conflict scenarios

such as full conflict scenario

variable reliability scenario

variable focus element scenario

focal element nested scenario

and the results show that the proposed method has wide adaptability

high accuracy and good stability.

关键词

Keywords

references

ZADEH L A . A simple view of the Dempster-Shafer theory of evidence and its implication for the rule of combination [J ] . AI Magazine , 1986 , 7 ( 2 ): 85 - 90 .

包甜甜 , 谢新连 , 魏照坤 . 新的证据冲突度量方法 [J ] . 控制理论与应用 , 2017 , 34 ( 1 ): 41 - 48 .

BAO T T , XIE X L , WEI Z K . Novel approach for measuring the conflict between evidence [J ] . Control Theory ＆ Applications , 2017 , 34 ( 1 ): 41 - 48 .

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

LIU Z G , DEZERT J , PAN Q , et al . Combination of sources of evidence with different discounting factors based on a new dissimilarity measure [J ] . Decision Support Systems , 2011 , 52 ( 1 ): 133 - 141 .

王路 , 邢清华 , 毛艺帆 . 基于信任度和确定度的证据加权组合方法 [J ] . 通信学报 , 2017 , 38 ( 1 ): 83 - 88 .

WANG L , XING Q H , MAO Y F . Weighted evidence combination based on degree of credibility and certainty [J ] . Journal on Communications , 2017 , 38 ( 1 ): 83 - 88 .

张欢 , 陆见光 , 唐向红 . 面向冲突证据的改进DS证据理论算法 [J ] . 北京航空航天大学学报 , 2020 , 46 ( 3 ): 616 - 623 .

ZHANG H , LU J G , TANG X H . An improved DS evidence theory algorithm for conflict evidence [J ] . Journal of Beijing University of Aeronautics and Astronautics , 2020 , 46 ( 3 ): 616 - 623 .

YAGER R R . On the Dempster-Shafer framework and new combination rules [J ] . Information Sciences , 1987 , 41 ( 2 ): 93 - 137 .

SMETS P . The combination of evidence in the transferable belief model [J ] . IEEE Transactions on Pattern Analysis and Machine Intelligence , 1990 , 12 ( 5 ): 447 - 458 .

LEFEVRE E , COLOT O , VANNOORENBERGHE P . Belief function combination and conflict management [J ] . Information Fusion , 2002 , 3 ( 2 ): 149 - 162 .

DUBOIS D , PRADE H . Representation and combination of uncertainty with belief functions and possibility measures [J ] . Computational Intelligence , 1988 , 4 ( 3 ): 244 - 264 .

FLOREA M C , JOUSSELME A L , BOSSÉ É , et al . Robust combination rules for evidence theory [J ] . Information Fusion , 2009 , 10 ( 2 ): 183 - 197 .

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 Q , YE X Q , GU W K . A new combination rules of evidence theory [J ] . Acta Electronica Sinica , 2000 , 28 ( 8 ): 117 - 119 .

张鑫 , 牟龙华 . 基于局部冲突消除的证据合成法则 [J ] . 系统工程与电子技术 , 2016 , 38 ( 7 ): 1594 - 1599 .

ZHANG X , MU L H . Evidence combination rule based on local conflict elimination [J ] . Systems Engineering and Electronics , 2016 , 38 ( 7 ): 1594 - 1599 .

JOUSSELME A L , GRENIER D , BOSSÉ É . A new distance between two bodies of evidence [J ] . Information Fusion , 2001 , 2 ( 2 ): 91 - 101 .

杨风暴 . 证据冲突的衡量方法研究 [J ] . 华北工学院学报 , 2005 , 26 ( 1 ): 58 - 60 .

YANG F B . Study on measure method for conflict of evidences [J ] . Journal of North China Institute of Technology , 2005 , 26 ( 1 ): 58 - 60 .

LIU W R . Analyzing the degree of conflict among belief functions [J ] . Artificial Intelligence , 2006 , 170 ( 11 ): 909 - 924 .

蒋雯 , 彭进业 , 邓勇 . 一种新的证据冲突表示方法 [J ] . 系统工程与电子技术 , 2010 , 32 ( 3 ): 562 - 565 .

JIANG W , PENG J Y , DENG Y . New representation method of evidential conflict Systems Engineering and Electronics , 2010 , 32 ( 3 ): 562 - 565 .

柯小路 , 马荔瑶 , 王永 . 奇异值衡量证据冲突的新方法 [J ] . 电子学报 , 2013 , 41 ( 10 ): 2109 - 2112 .

KE X L , MA L Y , WANG Y . A new method to measure evidence conflict based on singular value [J ] . Acta Electronica Sinica , 2013 , 41 ( 10 ): 2109 - 2112 .

宋亚飞 , 王晓丹 , 雷蕾 , 等 . 基于相关系数的证据冲突度量方法 [J ] . 通信学报 , 2014 , 35 ( 5 ): 95 - 100 .

SONG Y F , WANG X D , LEI L , et al . Measurement of evidence conflict based on correlation coefficient [J ] . Journal on Communications , 2014 , 35 ( 5 ): 95 - 100 .

DEMPSTER A P . Upper and lower probabilities induced by a multivalued mapping [J ] . The Annals of Mathematical Statistics , 1967 , 38 ( 2 ): 325 - 339 .

SHAFER G . A mathematical theory of evidence [M ] . Princeton : Princeton University Press , 1976 .

蒋雯 , 邓鑫洋 . D-S证据理论信息建模与应用 [M ] . 北京 : 科学出版社 , 2018 .

JIANG W , DENG X Y . D-S evidence theory information modeling and application [M ] . Beijing : Science Press , 2018 .

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 .

YANG X P , LIAN W J , LI M J , et al . Evidence combination method based on Pignistic function transformation and correlation coefficient [J ] . Journal on Communications , 2019 , 40 ( 3 ): 73 - 79 .

张贤达 . 矩阵分析与应用 [M ] . 北京 : 清华大学出版社 , 2004 .

ZHANG X D . Matrix analysis and application [M ] . Beijing : Tsinghua University Press , 2004 .

彭颖 , 胡增辉 , 沈怀荣 . 一种修正证据距离 [J ] . 电子与信息学报 , 2013 , 35 ( 7 ): 1624 - 1629 .

PENG Y , HU Z H , SHEN H R . A modified distance of evidence [J ] . Journal of Electronics ＆ Information Technology , 2013 , 35 ( 7 ): 1624 - 1629 .

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