A method of conflictive evidence combination based on the Markov chain

被引:0
|
作者
Key Laboratory of Measurement and Control , Ministry of Education, Nanjing [1 ]
210096, China
不详 [2 ]
机构
[1] Key Laboratory of Measurement and Control (School of Automation, Southeast University), Ministry of Education, Nanjing
[2] Department of Electrical and Computer Engineering, University of Detroit Mercy, Michigan
来源
Zidonghua Xuebao Acta Auto. Sin. | / 5卷 / 914-927期
基金
中国国家自然科学基金;
关键词
Combination rule; Conflict; Evidence reasoning; Markov chain; State-uncertainty;
D O I
10.16383/j.aas.2015.c140681
中图分类号
学科分类号
摘要
Aiming at the problem that highly conflictive evidence can not be processed by Dempster rule in intelligent information processing, a method of conflictive evidence combination based on Markov chain is proposed by considering the high-efficiency anti-interference performance for the sequentiality of sequential evidences. At first, the deterministic state description in the classic Markov chain is extended to nondeterministic state description. And then, the past evidences are sampled sequentially according to the sliding window width l, which could be amended according to the weight computed by utilizing the similarity measure. A Markov model is established on these past evidences amended so that a transition probability matrix could be obtained, which is used to compute the evidential representative. Finally, this representative is combined with itself for l-1 times according to the Murphy's combination method. Of course, this method also fits parallel fuse in a step. Through simulation experiments, the comparisive analysis show that the new method's advantage is obvious. That is to say, it efficiently solves the problem of the combination of conflictive evidences; moreover, it keeps robustness and sensibility of combinational result. Copyright © 2015 Acta Automatica Sinica. All rights reserved.
引用
收藏
页码:914 / 927
页数:13
相关论文
共 34 条
  • [1] Shafer G., A Mathematical Theory of Evidence, (1976)
  • [2] Smarandache F., Dezert J., Advances and Applications of DSmT for Information Fusion, Collected Works, 1-3, (2004)
  • [3] Li X.-D., Dezert J., Huang X.-H., Meng Z.-D., Wu X.-J., A fast approximate reasoning method in hierarchical DSmT (A), Acta Electronica Sinica, 38, 11, pp. 2566-2572, (2010)
  • [4] Li X.-D., Yang W.-D., Wu X.-J., Dezert J., A fast approximate reasoning method in hierarchical DSmT (B), Acta Electronica Sinica, 39, 3, pp. 31-36, (2011)
  • [5] Li X.-D., Yang W.-D., Dezert J., An airplane image target's multi-feature fusion recognition method, Acta Automatica Sinica, 38, 8, pp. 1298-1307, (2012)
  • [6] Li X.-D., Pan J.-D., Dezert J., A target recognition algorithm for sequential aircraft based on DSmT and HMM, Acta Automatica Sinica, 40, 12, pp. 2862-2876, (2014)
  • [7] Lefevre E., Colot O., Vannoorenberghe P., Belief function combination and conflict management, Information Fusion, 3, 2, pp. 149-162, (2002)
  • [8] Yager R.R., On the dempster-shafer framework and new combination rules, Information Sciences, 41, 2, pp. 93-137, (1987)
  • [9] Liu W.R., Analyzing the degree of conflict among belief functions, Artificial Intelligence, 170, 11, pp. 909-924, (2006)
  • [10] Wang D., Li Q., Jiang W., Xu X.-B., Deng Y., New method to combine conflict evidence based on pignistic probability distance, Infrared and Laser Engineering, 38, 1, pp. 149-154, (2009)