基于推土机距离的证据冲突强度量方法  

Strong measurement method of evidence conflict based on earth mover’s distance

作　　者：王欣 付威 WANG Xin;FU Wei(Department of Automation,Heilongjiang University,Harbin 150080,China;Key Laboratory of Information Fusion Estimation and Detection in Heilongjiang Province,Harbin 150080,China)

机构地区：[1]黑龙江大学自动化系,黑龙江哈尔滨150080 [2]黑龙江省信息融合估计与检测重点实验室,黑龙江哈尔滨150080

出　　处：《通信学报》2022年第5期204-213,共10页Journal on Communications

基　　金：国家自然科学基金资助项目(No.61573132);黑龙江省自然科学基金重点资助项目(No.ZD2021F003);联合引导基金资助项目(No.LH2020G008);黑龙江省省属高等学校基本科研业务费基础研究基金资助项目(No.KJCX201809)。

摘　　要：针对D-S(Dempster-Shafer)证据理论中的冲突因子k不能有效度量证据之间的冲突程度的问题,首先提出了证据冲突强度量函数需要满足的期望特征,然后提出了一种新的基于推土机距离的证据冲突度量方法。该方法不要求不同证据有相同的焦元数量,并且可以直接计算含有非单子集命题的证据冲突。理论和实验表明,所提方法给出的冲突度量大小能够正确表征2个证据间冲突的程度,并具有证据冲突强度量函数的所有期望特征,表明所提方法是一种有效的证据冲突强度量方法。Aiming at the problem that the conflict factor k in D-S evidence theory cannot effectively measure the degree of conflict between two bodies of evidence(BoEs),the expected features of evidence conflict strong measurement function(ECSMF)were proposed,and then a new method of evidence conflict measurement based on earth mover’s distance(EMD)was put forward.The same number of focal elements between different BoEs was not required and the evidence conflict with non-singleton propositions could be directly calculate.The proposed method did not require The theory and experiments show that the size of conflict measure proposed can correctly represent the degree of conflict between two BoEs,and has all the expected features of ECSMF,which is an effective method of evidence conflict strong measurement.

关 键 词：D-S证据理论 证据冲突强度量函数 期望特征 推土机距离 

分 类 号：TP274[自动化与计算机技术—检测技术与自动化装置]