一种基于非对称冲突度量的证据融合决策方法  

An evidence fusion decision method based on asymmetric conflict measurement

作　　者：周宇峰 王欣[1,2] 孙思颖[1] ZHOU Yufeng;WANG Xin;SUN Siying(College of Electronic Engineering,Heilongjiang University,Harbin 150080,China;Key Laboratory of Information Fusion Estimation and Detection of Heilongjiang Province,Heilongjiang University,Harbin 150080,China)

机构地区：[1]黑龙江大学电子工程学院,哈尔滨150080 [2]黑龙江大学黑龙江省信息融合估计与检测重点实验室,哈尔滨150080

出　　处：《黑龙江大学自然科学学报》2023年第6期739-748,共10页Journal of Natural Science of Heilongjiang University

基　　金：国家自然科学基金(61573132);黑龙江省自然科学基金重点资助项目(ZD2021F003);黑龙江省自然科学联合引导基金(LH2020G008);黑龙江省省属高等学校基本科研业务费基础研究基金(KJCX201809)。

摘　　要：在Dempster-Shafer(D-S)证据理论中,传统的冲突度量是对称的。由于对称冲突度量无法反映两个证据之间相互支持程度的差异,提出了一种新的非对称冲突度量方法,非对称Jousselme距离。利用非对称Jousselme距离与平均距离之间的关系,得到距离关系矩阵,绘制证据之间的关系图,确定融合顺序和不予融合的证据。利用Dempster组合规则依次组合证据,得出融合决策结果。通过数值分析以及与其他方法的比较,表明了所提方法的有效性。In Dempster-Shafer(D-S)evidence theory,the traditional conflict measurement is symmetric.Since a symmetric conflict measurement cannot reflect the difference in the degree of mutual support between two pieces of evidence,the new asymmetric conflict measurement method is proposed,called asymmetric Jousselme distance.Using the relationship between asymmetric Jousselme distance and the average distance,a distance relationship matrix is obtained,and a graph of the relationship between evidences is drawn to determine the fusion order and the evidence that is not fused.The Dempster s combination rule is used to sequentially combine the evidence and obtain the fusion decision result.The numerical analysis and comparison with other methods show the effectiveness of the proposed algorithm.

关 键 词：DEMPSTER-SHAFER证据理论 非对称冲突度量 非对称Jousselme距离 DEMPSTER组合规则 

分 类 号：TP274[自动化与计算机技术—检测技术与自动化装置]