计算机科学 ›› 2015, Vol. 42 ›› Issue (Z6): 10-12.

• 智能计算 • 上一篇    下一篇

一种在非单点证据源融合中的改进组合方法

刘哲席,洪纯哲,阳建宏,杨德斌   

  1. 北京科技大学机械工程学院机械电子工程系 北京100083;平壤铁道大学机械工程学院 平壤999093,北京科技大学机械工程学院机械电子工程系 北京100083;金日成综合大学科学研究所 平壤999093,北京科技大学机械工程学院机械电子工程系 北京100083,北京科技大学机械工程学院机械电子工程系 北京100083
  • 出版日期:2018-11-14 发布日期:2018-11-14
  • 基金资助:
    本文受国家自然科学基金(50905013,4)资助

Improved Combination Approach for Bodies of Evidence Containing Non-singleton Evidence

LIU Zhe-xi, HONG Chun-zhe, YANG Jian-hong and YANG De-bin   

  • Online:2018-11-14 Published:2018-11-14

摘要: 现有的冲突证据组合方法中,当采集的证据体包含非单点证据且证据体之间存在冲突时,该证据体的组合存在着局限性。针对这一问题,提出了一种基于改进Pignistic概率距离的新的证据组合方法。该组合方法通过证据体之间的改进Pignistic概率距离描述证据体之间的冲突以及相似性程度,根据证据体之间的支持程度确定证据体的权重,然后基于折扣率的思想进行证据源的修正,最后使用Dempster规则进行组合。通过算例分析和对比,论证了改进证据组合方法的适用性和有效性。

Abstract: In the existing combination methods of conflicting evidence,if the bodies of evidence contain non-singleton evidences,and there is conflict between the bodies of evidence,these combination methods have limitations when using Dempster’s rule in data fusion.In order to solve this problem,an improved combination method of conflicting evidence based on the modified pignistic probability distance was proposed.In the improved method,firstly,the conflict level and the degree of similarity of bodies of evidence are represented by the modified pignistic probability distances among bodies of evidence.Secondly,the weight coefficients are determined according to the support degree among bodies of evidence.Thirdly,the basic probability assignments of the bodies of evidence are revised by weight coefficient based on the thought of the discount rate.And finally,the ultimate combination results are obtained from the revised bodies of evidence by directly applying Dempster’s rule.The analyzed results of numerical examples prove that the proposed new combination method has better applicability and effectiveness compared with the existing methods.

Key words: Evidence theory,Multi-sensor information fusion,Pignistic probability function,Conflict evidence

[1] 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
[2] Smarandache F,Dezert J.Advances and Applications of DSmTfor Information Fusion(Collected works),second volume:Collected Works[M].Ann Arbor:Infinite Study,2006:89-112
[3] Murphy C K.Combining belief functions when evidence conflicts[J].Decision Support Systems,2000,9(1):1-9
[4] Jousselme A L,Grenier D,Bossé .A new distance between two bodies of evidence[J].Information Fusion,2001,2(2):91-101
[5] 熊彦铭,杨战平.冲突证据组合中的模型修正新方法[J].火力与指挥控制,2012,37(8):35-38
[6] Yang Y,Han D,Han C.Discounted combination of unreliableevidence using degree of disagreement[J].International Journal of Approximate Reasoning,2013,4(8):1197-1216
[7] 张燕君,龙呈,李达.基于冲突表示的冲突证据融合方法[J].模式识别与人工智能,2013,26(9):853-858
[8] Jousselme A L,Liu C,Grenier D,et al.Measuring ambiguity in the evidence theory[J].IEEE Transactions on Systems,Man and Cybernetics,Part A:Systems and Humans,2006,36(5):890-903
[9] 韩德强,邓勇,韩崇昭,等.利用不确定度的冲突证据组合[J].控制理论与应用,2011,28(6):788-792
[10] 肖建于,童敏明,朱昌杰,等.基于pignistic 概率距离的改进证据组合规则[J].上海交通大学学报,2012,46(4):636-641
[11] 黄建招,谢建,李良,等.基于冲突系数和 pignistic 概率距离的改进证据组合方法[J].传感器与微系统,2013,32(9):21-24
[12] Liu W.Analyzing the degree of conflict among belief functions[J].Artificial Intelligence,2006,170(11):909-924

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