基于冲突因子和向量余弦的迭代D-S加权算法Iterative D-S weighted algorithm based on conflict factor and vector cosine
刘海峰,聂灵风,侯再恩,曹慧
摘要(Abstract):
为了扩大D-S方法的适用范围,用传统的冲突因子与Pignistic概率向量余弦共同度量证据间的矛盾程度,将矛盾系数转化为证据的权系数,首轮融合时只用权系数修正证据集,其他融合用替换修正和权系数修正二次修正证据集,采用迭代思想修正融合结果。替换修正充分利用每一次的融合结果,迭代过程使得最终的融合结果更加精确。利用公共算例和随机算例验证后表明所提方法的融合效率高,融合结果更准确,算法收敛速度快,能有效解决问题,扩大了D-S的使用范围。
关键词(KeyWords): 证据理论;迭代;二次修正;向量余弦;冲突因子;权系数
基金项目(Foundation): 国家自然科学基金项目(11301314)~~
作者(Author): 刘海峰,聂灵风,侯再恩,曹慧
DOI: 10.16652/j.issn.1004-373x.2018.05.038
参考文献(References):
- [1]王欣.多传感器数据融合问题的研究[D].长春:吉林大学,2006.WANG Xin.The research on mulisensor data fusion[D].Changchun:Jilin University,2006.
- [2]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.XIAO Jianyu,TONG Minming,ZHU Changjie,et al.Improved combination rule of evidence based on Pignistic probability distance[J].Journal of Shanghai Jiao Tong University,2012,46(4):636-641.
- [3]陈圣群,王应明.基于Pignistic概率距离的最优证据合成法[J].信息与控制,2013,42(2):213-217.CHEN Shengqun,WANG Yingming.Optimal combination of evidence based on Pignistic probability distance[J].Information and control,2013,42(2):213-217.
- [4]YAYER R.On the Dempster-Shafer framework and new combination rules[J].Information sciences,1987,41:93-137.
- [5]LEFEVRE E,COLOT O.Belief function combination and conflict management[J].Information fusion,2002,3(3):149-162.
- [6]王栋,李齐,蒋雯,等.基于Pignistic概率距离的冲突证据合成方法[J].红外与激光工程,2009,38(1):149-154.WANG Dong,LI Qi,JIANG Wen,et al.New method to combine conflict evidence based on Pignistic probability distance[J].Infrared and laser engineering,2009,38(1):149-154.
- [7]HAENNI R.Are alternatives to Dempster′s rule of combination real alternative comments on″about the belief function combination and the conflict management problem″[J].Information fusion,2002,3(4):237-239.
- [8]MURPHY C K.Combining belief functions when evidence conflicts[J].Decision support systems,2000,29(1):1-9.
- [9]JOUSSELME A L.A new distance between two bodies of evidence[J].Information fusion,2001,2(1):91-101.
- [10]李昌玺,周焰,张晨,等.结合冲突系数K与pignistic概率距离的冲突度量方法[J].空军工程大学学报(自然科学版),2016,17(2):91-97.LI Changxi,ZHOU Yan,ZHANG Chen,et al.A new evidence conflict measurement method combined with conflict coefficient K and Pignistic probability distance[J].Journal of Air Force Engineering University(natural science edition),2016,17(2):91-97.
- [11]黄建招,谢建,李良,等.基于冲突系数K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.HUANG Jianzhao,XIE Jian,LI Liang,et al.Improved combination method of evidence based on conflict coefficient K and Pignistic probability distance[J].Transducer and microsystem technologies,2013,32(9):21-24.
- [12]胡海亮,钟求喜,刘浏.基于迭代合成的D-S证据理论改进方法[J].计算机应用与研究,2016,33(10):2985-2987.HU Hailiang,ZHONG Qiuxi,LIU Liu.Improved method to D-S evidence theory based on iterative synthesis[J].Computer application and research,2016,33(10):2985-2987.
- [13]马丽丽,张芬,陈金广.一种基于Pignistic概率距离的合成公式[J].计算机工程与应用,2015,51(24):61-66.MA Lili,ZHANG Fen,CHEN Jinguang.Synthetic rule of evidence based on Pignistic probability distance[J].Computer engineering and applications,2015,51(24):61-66.
- [14]胡嘉骥,李新德,王丰羽.基于夹角余弦的证据组合方法[J].模式识别与人工智能,2015,28(9):857-864.HU Jiaji,LI Xinde,WANG Fengyu.Evidence combination method based on include angle cosine[J].PR&AI,2015,28(9):857-864.
- [15]费翔,周健.一种处理冲突证据的D-S证据权重计算方法[J].计算机工程,2016,42(2):142-145.FEI Xiang,ZHOU Jian.A D-S evidence weight computing method for conflict evidence[J].Computer engineering,2016,42(2):142-145.