单向证据冲突度量方法

doi:10.11959/j.issn.1000-436x.2016143

Abstract

Abstract:

Aiming at the problem that traditional evidence conflict measurement approaches can not express the differ-ence of mutual support degrees between evidences, a directional evidence conflict measurement approach was proposed. The conflict degree of evidences could be measured based on the new defined directional support degree, which imported the support coefficient to make the model dissymmetrical. Simulation results show that the proposed method can not only express the difference of mutual support degrees between evidences, but also solves the problem that traditional ap-proaches work poorly under special situation.

Key words: Dempster-Shafer evidence theory, direction, evidence conflict, conflict measure

Lu WANG,Qing-hua XING,Yi-fan MAO. Directional evidence conflict measurement approach[J]. Journal on Communications, 2016, 37(7): 118-123.

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References 23

[1]	DEMPSTER A P . Upper and lower probabilities induced by a multi-valued mapping[J]. Annual Mathematics and Statistics, 1967,38(2):325-339.
[2]	SHAFER G A . Mathematical theory of evidence[M]. Princeton: Princeton University Press, 1976.
[3]	权文，王晓丹，王坚，等．一种基于局部冲突分配的DST组合规则[J]．电子学报， 2012,40(9):1880-1884. CHEN L , ZHANG L Y , GUO Y J , et al. Blind signal separation algo-rithm based on temporal predictability and differential search algo-rithm[J]. Journal on Communications, 2012,40(9):1880-1884.
[4]	王文庆，杨远玲，杨春杰．一种基于证据理论的数据融合算法[J]. 控制与决策， 2013,28(9):1427-1430. WANG W Q , YANG Y L , YANG C J . A data fusion algorithm based on evidence theory[J]. Control and Decision, 2013,28(9):1427-1430.
[5]	韩德强，杨艺，韩崇昭． DS证据理论研究进展及相关问题探讨[J]. 控制与决策， 2014,29(1):1-10. HAN D Q , YANG Y , HAN C Z . Advances in DS evidence theory and related discussions[J]. Control and Decision, 2014,29(1):1-10.
[6]	郭华伟，施文康，邓勇，等．证据冲突：丢弃，发现或化解[J]．系统工程与电子技术， 2007,29(6):890-898. GUO H W , SHI W K , DENG Y , et al. Evidential conflict and its 3D strategy: discard, discover and disassemble[J]. Systems Engineering and Electornics, 2007,29(6):890-898.
[7]	高社生，倪龙强，杨凯，等．一种新的基于局部冲突分配的证据合成规则[J]．西北工业大学学报， 2009,27(1):43-46. GAO S S , NI L Q , YANG K , et al. A new and better rule for combin-ing sharply conflicting evidence[J]. Journal of Northwestern Polytechnical University, 2009,27(1):43-46.
[8]	HAN D Q , HAN C Z , YANG Y . A modified evidence combination approach based on ambiguity measure[C]// The 11th International Conference on Information Fusion. c2008:1-6.
[9]	宋亚飞，王晓丹，雷蕾，等．基于信任度和虚假度的证据组合方法[J]．通信学报， 2015,36(5):98-103. SONG Y F , WANG X D , LEI L , et al. Evidence combination based on the degree of credibility and falsity[J]. Journal on Communications, 2015,36(5):98-103.
[10]	JOUSSELME A L , GRENIER D , BOSSE E . A new distance between two bodies of evidence[J]. Information Fusion, 2001,2(1):90-101.
[11]	WEN C L , WANG Y C , XU X B . Fuzzy information fusion algorithm of fault diagnosis based on similarity measure of evidence[J]. Lecture Notes in Computer Science, 2008,5264:506-515.
[12]	LIU W R . Analyzing the degree of conflict among belief functions[J]. Artificial Intelligence, 2006,170(11):909-924.
[13]	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):95-99. SONG Y F , WANG X D , LEI L , et al. Measurement of evidence con-flict based on correlation coefficient[J]. Journal on Communications, 2014,35(5):95-99.
[14]	刘希亮，陈桂明．一种自适应冲突证据检验与合成方法[J]．控制与决策， 2014,29(5):929-932. LIU X L , CHEN G M . A self-adaptive conflicting evidence test and combination approach[J]. Control and Decision, 2014,29(5):929-932.
[15]	ALEXANDER L A . Estimation of conflict and decreasing of igno-rance in Dempster-Shafer theory[J]. Procedia Computer Science, 2013,17:1113-1120.
[16]	MARTIN A , JOUSSELME A L , OSSWALD C . Conflict measure for the discounting operationon belief functions[C]// The 11th International Conference on Information Fusion. c2008:1-8.
[17]	CHEN L Z , SHI W K , DEND Y , et al. A new fusion approach based on distance of evidences[J]. Journal of Zhejiang University - Science A, 2005,6(5):476-482.
[18]	YANG Y , HAN C Z , HAN D Q . Discounted combination of unreliable evidence using degree of disagreement[J]. International Journal of Approximate Reasoning, 2013,54(8):1197-1216.
[19]	THIERRY D . Conjunctive and disjunctive combination of belief func-tions induced by nondistinct bodies of evidence[J]. Artificial Intelligence, 2008,172(3):234-264.
[20]	DENG Y , SHI W K , ZHU Z F , et al. Combining belief functions based on distance of evidence[J]. Decision Support Systems, 2004,38(3):489-493.
[21]	王万请，赵拥军，黄洁，等．一种非对称的证据冲突度量方法[J]. 控制与决策， 2014,29(3):533-536. WANG W Q , ZHAO Y J , HUANG J , et al. An asymmetrical measure for evidence conflict[J]. Control and Decision, 2014,29(3):533-536.
[22]	杨风暴，王肖霞． D-S证据理论的冲突证据合成方法[M]．北京：国防工业出版社， 2010. YANG F B , WANG X X . Combination method of conflictive evi-dences in D-S evidence theory[M]. Beijing: National Defense industry Press, 2010.
[23]	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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方法	m₁,m₂	m₁,m₂,m₃	m₁,m₂,m₃,m₄
	m(θ₁)=0	m(θ₁)=0	m(θ₁)=0
Dempster	m(θ₂)=0.857 1	m(θ₂)=0.631 6	m(θ₂)=0.328 8
	m(θ₃)=0.142 9	m(θ₃)=0.368 4	m(θ₃)=0.671 2
	m(θ₁)=0.154 3	m(θ₁)=0.650 0	m(θ₁)=0.930 5
文献[20]	m(θ₂)=0.746 9	m(θ₂)=0.254 7	m(θ₂)=0.027 4
	m(θ₃)=0.098 8	m(θ₃)=0.085 8	m(θ₃)=0.033 9
	—	m(θ₁θ₃)=0.009 5	m(θ₁θ₃)=0.008 2
	m(θ₁)=0.154 3	m(θ₁)=0.778 9	m(θ₁)=0.955 0
本文方法	m(θ₂)=0.746 9	m(θ₂)=0.119 2	m(θ₂)=0.007 2
	m(θ₃)=0.098 8	m(θ₃)=0.091 2	m(θ₃)=0.028 8
	—	m(θ₁θ₃)=0.010 7	m(θ₁θ₃)=0.009

Directional evidence conflict measurement approach

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