An Improved Method of D-S Evidence Theory Based on Pretreatment Mode
SHE Er-Yong1,2, WANG Run-Sheng3, XU Xue-Wen2
1.Department of Information Management, Peking University,Beijing 100081 2. China Defense Science and Technology Information Center,Beijing 100036 3.ATR National Laboratory, National University of Defense Technology,Changsha 410073
Abstract Dempster-Shafer (D-S) theory of evidence is one of the main methods of decision fusion, but typical D-S theory is sensitive to high conflict evidences. A method based on the pretreatment mode is presented. The basic probability assignments of conflict focal elements are partly transferred to the union of focal elements before the Dempster combination rule is used. The combination order is determined based on the conflicted measurement. Therefore, D-S theory could deal with the cases with high conflict evidences since conflict information is translated into unknown knowledge representation.
[1] Deng Yong, Shi Wenkang, Zhu Zhenfu. Efficient Combination Approach of Conflict Evidence. Journal of Infrared Millimeter 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) [2] Duan Xinsheng. Evidence Theory, Decision and Artificial Intelligence. Beijing, China: China Renmin University Press, 1993 (in Chinese) (段新生.证据理论与决策、人工智能. 北京:中国人民大学出版社, 1993) [3] Dubois D, Prade H. Representation and Combination of Uncertainty with Belief Functions and Possibility Measures. Computational Intelligence, 1988, 4(3): 244-264 [4] Yager R R. On the Relationships of Methods of Aggregation of Evidence in Experts Systems. Cybernetics and Systems, 1985, 16(1): 1-21 [5] Smets P. The Combination of Evidence in the Transferable Belief Model. IEEE Trans on Pattern Analysis and Machine Intelligence, 1990, 12(5): 447-458 [6] Lefevre E, Colot O, Vannoorenberghe P. Reply to the Comments of R. Haenni on the Paper: Belief Functions Combination and Conflict Management. Information Fusion Journal, 2003, 4(1): 63-65 [7] Lefevre E, Colot O, Vannoorenberghe P. Belief Functions Combination and Conflict Management. Information Fusion, 2002, 3(2): 149-162 [8] Haenni R. Are Alternatives to Dempster’s Rule of Combination Real Alternatives?-Comments on “About the Belief Function Combination and Conflict Management Problem”. Information Fusion, 2002, 3(4): 237-239 [9] Murphy C K. Combining Belief Function When Evidence Conflicts. Decision Support Systems, 2000, 29(1): 1-9 [10]Lin Zuoquan, Mu Kedian, Han Qing. An Approach to Combination of Conflicting Evidence by Disturbance of Ignorance. Journal of Software, 2004, 15(8): 1150-1156 (in Chinese) (林作铨,牟克典,韩 庆.基于未知扰动的冲突证据.软件学报, 2004, 15(8): 1150-1156) [11] Shafer G. A Mathematical Theory of Evidence. Princeton, USA: Princeton University Press, 1976
2007, Vol. 20 
