改进的二元组冲突表示方法  

Improved two-dimensional measure for evidence conflict

作　　者：蒋雯[1] 张安[1] 邓勇[2] 

机构地区：[1]西北工业大学电子信息学院 [2]上海交通大学电子信息学院

出　　处：《红外与激光工程》2009年第5期936-940,共5页Infrared and Laser Engineering

基　　金：国家自然科学基金资助项目(60874105;60904099);教育部新世纪优秀人才支持计划项目(NECT-08-0345);上海市青年科技启明星计划项目(09QA1402900);上海交通大学"晨星学者计划"资助项目(T241460612);浙江省自然基金资助项目(Y1080422);航空科学基金资助项目(20090557004;20095153022);西北工业大学校科技创新基金资助项目(2008KJ02022);部委基金资助项目

摘　　要：D-S证据理论可以有效表示随机性和模糊性的不确定信息,可以在不需要先验信息的情况下对证据进行组合,这些优点使得该理论被广泛应用于信息融合的各个领域。但是在实际应用中,D-S证据理论中的组合规则无法有效融合冲突信息,为此研究人员在组合规则改进或是数据模型修改两个方面提出了很多改进方法,但却忽视了对冲突本身的研究。首先分析了证据理论中经典冲突系数的不足,而后引入证据距离,结合经典冲突系数提出了一个改进的二元组来描述证据冲突,新的二元组冲突表示可以更好地度量证据之间的冲突,而且对Dempster组合规则的适用性具有指导意义。算例说明了新的冲突表示方法的有效性。It is well known that D-S evidence theory can efficiently represent random and fuzzy uncertain information and combine evidence without prior information, therefore it can be used in many fields of information fusion. However, the combination result are always unsatisfactory when there are serious conflicts in evidences. To solve this problem, more researches have been done to improve the DS combination rule and modify the data model. However, the research of conflict is seldomly reported. Firstly, the weakness of classical conflict coefficient in D-S evidence theory was analyzed. Then, a distance function of evidence was introduced to measure conflict degree together with classical conflict coefficient. A improved two-dimensional conflict measure was proposed to describe evidence conflicts. Based on the new proposed conflict function, the applicability of Dempster＇s rule was analyzed. Numerical example shows that the proposed measure can efficiently determine the degree of evidence conflict.

关 键 词：信息融合 D-S证据理论 证据冲突 冲突表示 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]