基于证据折扣优化的冲突证据组合方法

Journal of Systems Engineering and Electronics ›› 2009, Vol. 31 ›› Issue (5): 1158-1161.

基于证据折扣优化的冲突证据组合方法

邢清华, 刘付显

空军工程大学导弹学院, 陕西, 三原, 713800

收稿日期:2008-01-17 修回日期:2008-09-02 出版日期:2009-05-20 发布日期:2010-01-03
作者简介:邢清华(1966- ),女,教授,博士,主要研究方向为防空作战智能决策与建模仿真.E-mail:liuxqh@126.com
基金资助:
国家自然科学基金资助课题(60773209)

New combination rule of conflict evidence based on optimized evidence discount

XING Qing-hua, LIU Fu-xian

The Missile Inst., Air Force Engineering Univ., Sanyuan 713800, China

Received:2008-01-17 Revised:2008-09-02 Online:2009-05-20 Published:2010-01-03

摘要/Abstract

摘要： D-S证据组合规则在处理高冲突度信息时,会得出与直觉相反的结论,出现冲突的证据组合,这一直是D-S理论研究的热点.现有改进的组合规则大部分不满足结合律原则,导致不同的组合顺序会得到不同的组合结果.针对这一问题,给出了一种新的满足结合律原则的证据组合推理规则.首先建立了基于Ign(·)函数极小化的证据折扣优化模型,然后利用最优折扣对证据进行修正,得到证据修正模型,最后利用新的证据合成规则对修正后的证据进行组合.算例验证结果表明,新的组合推理规则在处理冲突方面的性能得到明显改进.

Abstract: The combination rule of conflict evidences has been one of the important issues in Dempster-Shafer theory since it may conclude an error result in dealing with high conflict information.In order to deal with the problems that much of modified combination rules do not satisfy the associative law,a new combination rule that satisfies the associative law is proposed.An optimized model of evidence discount rate based on the minimized Ign(·) function is built firstly,then the modified evidences are obtained by pretreated mass functions with discount rate.Finally the modified evidences are combined by the new combination rule.The numerical example shows that the new combination rule has good performance in dealing with conflict and improves the reliability and rationality.

中图分类号:

TP212.9

邢清华, 刘付显. 基于证据折扣优化的冲突证据组合方法[J]. Journal of Systems Engineering and Electronics, 2009, 31(5): 1158-1161.

XING Qing-hua, LIU Fu-xian. New combination rule of conflict evidence based on optimized evidence discount[J]. Journal of Systems Engineering and Electronics, 2009, 31(5): 1158-1161.