|
|
|
| Conflict Evidence Fusion Method Based on Conflict Representation |
| ZHANG Yan-Jun,LONG Cheng,LI Da |
The Key Laboratory for Special Fiber and Fiber Sensor of Hebei Province,
College of Information Science and Engineering,Yanshan University,Qinhuangdao 066004 |
|
|
|
|
Abstract In order to effectively solve the conflict evidence combination problems,an evidence combination method is proposed. Based on a new conflict representation and the association of quantitative evidence,the weight of each evidence is calculated. Then compared with average weight,the conflict evidence or low credibility of evidence is identified and the discount correction is made,and the use of the original evidence source information is maximized. Finally,the D-S combination rule is employed. The experimental results show that the proposed method has good performance,fast convergence and high reliability compared with other typical methods.
|
|
Received: 05 September 2012
|
|
|
|
|
|
[1] Dempster B A P. Upper and Lower Probabilities Induced by a Multivalued Mapping. Annals of Mathematical Statistics,1967,38(2): 325-339
[2] Shafer G.A Mathematical Theory of Evidence. Princeton,USA: Princeton University Press,1976
[3] Yager R R. On the Dempster-Shafer Frame Work and New Combination Rules. Information Science,1987,41(2): 93-137
[4] Sun Quan,Ye Xiuqing,Gu Weikang. A New Combination Rules of Evidence Theory. Acta Electronica Sinica,2000,28(8): 117-119 (in Chinese)
(孙 全,叶秀清,顾伟康.一种新的基于证据理论的合成公式.电子学报,2000,28(8): 117-119)
[5] Chen Weijun,Jing Zhanrong,Yuan Fangfei,et al. Shortcoming of D-S Evidence Theory and Its Mathematics. Journal of North University of China: Natural Science Edition,2010,31(2): 161-168 (in Chinese)
(陈炜军,景占荣,袁芳菲,等.D-S证据理论的不足及其数学修正.中北大学学报:自然科学版,2010,31(2): 161-168)
[6] Murphy C K. Combing Belief Functions when Evidence Conflicts. Decision Support System,2000,29 (1): 1-9
[7] Deng Yong,Shi Wenkang, Zhu Zhenfu. Efficient Combination
Approach of Conflict Evidence. Journal of Infrared Millimeter and Waves,2004,23(1): 27-32 (in Chinese)
(邓 勇,施文康,朱振福.一种有效处理冲突证据的组合方法.红外与毫米波学报,2004,23(1): 27-32)
[8] Hu Changhua,Si Xiaosheng,Zhou Zhijie,et al.An improved D-S Algorithm under the New Measure Criteria of Evidence Conflict. Acta Electronica Sinica,2009,37 (7): 1578- 1583 (in Chinese)
(胡昌华,司小胜,周志杰,等.新的证据冲突衡量标准下的D-S改进算法.电子学报,2009,37(7): 1578-1583)
[9] Hang Deqiang,Deng Yong,Han Chongzhao,et al,Conflicting Evidence Combination by Using Uncertainty Degree. Control Theory Application 2011,28(6): 788-792 (in Chinese)
(韩德强,邓 勇,韩崇昭,等.利用不确定度的冲突证据组合.控制理论与应用,2011,28(6):788-792)
[10] Lu Zhengcai,Qinzheng,General Framework for Evidence Combination and Its Approach to Highly Conflicting Evidence Fusion,Journal of Tsinghua University: Science and Technology,2011,51 (11): 1611-1615 (in Chinese)
(卢正才,覃 征.证据合成的一般框架及高度冲突证据合成方法.清华大学学报:自然科学版,2011,51(11): 1611-1615)
[11] Haenni R. Are Alternatives to Dempster′s Rule of Combination Real Alternative? Information Fusion,2002,3(3): 237-239
[12] Florea M C,Jousselme A L,Bosse E ,et al. Robust Combination Rules for Evidence Theory. Information Fusion,2009,10(2): 183-197
[13] Martin R,Zhang Jianchun,Liu Chuanhai. Dempster-Shafer Theory and Statistical Inference with Weak Beliefs. Statistical Science,2010,25(1): 72-87
[14] Mathon B R,Ozbek M M,Pinder G F. Dempster-Shafer Theory Applied to Uncertainty Surrounding Permeability. Mathematical Geosciences,2010,42(3): 293-307
[15] Jousselme A L,Grenier D,Bosse E. A New Distance between Two Bodies of Evidence. Information Fusion,2001,2(1): 90-101
[16] Jiang Wen,Zhang An,Deng Yong. A Novel Information Fusion Method Based on Our Evidence Conflict Representation. Journal of Northwestern Polytechnical University,2010,28(1): 27-32 (in Chinese)
(蒋 雯,张 安,邓 勇.基于新的证据冲突表示的信息融合方法研究.西北工业大学学报,2010,28(1): 27-32)
[17] Shi Chao,Cheng Yongmei. Combination Method of Conflict Information from Multi-Sensor Based on Evidence Conflict Degree. Application Research of Computers,2011,28(3): 865-868
(in Chinese)
(史 超,程咏梅.基于证据冲突度的多传感器冲突信息组合方法.计算机应用研究,2011,28(3): 865-868)
[18] Lefevre E,Colot O,Vannoorenberghe P. Belief Function Combination and Conflict Management. Information Fusion,2002,3(2): 149-162
[19] Xiong Yanming,Yang Zhanping,Qu Xinfen. Novel Combination Method of Conflict Evidence Based on Evidential Model Modification. Control and Decision,2011,26(6): 883-887 (in Chinese)
(熊彦铭,杨战平,屈新芬.基于模型修正的冲突证据组合新方法.控制与决策,2011,26(6): 883-887) |
|
|
|
2013, Vol. 26 
