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Volume 27 Issue 7
Jul.  2005
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Zeng Cheng, Zhao Bao-jun, He Pei-kun . The Combination of Evidences in an Incomplete Frame of Discernment[J]. Journal of Electronics & Information Technology, 2005, 27(7): 1043-1046.
Citation: Zeng Cheng, Zhao Bao-jun, He Pei-kun . The Combination of Evidences in an Incomplete Frame of Discernment[J]. Journal of Electronics & Information Technology, 2005, 27(7): 1043-1046.

The Combination of Evidences in an Incomplete Frame of Discernment

  • Received Date: 2004-02-26
  • Rev Recd Date: 2004-08-05
  • Publish Date: 2005-07-19
  • The incompleteness of the frame of discernment is one of the main difficulties confronted in the application of the evidence theory. In this paper, through introducing a newly defined evidence frame which divides the frame of discernment into known and unknown parts, an open frame method to represent and combine evidence under incomplete frame is proposed. This method can distinguish the incompleteness of frame from the conflict of evidence clearly. It also presents a rational way to assign a BPA to the set of unknown propositions. Therefore such a method avoids the problems confronted by the D-S theory and Smetss open world assumption in dealing with incomplete frame.
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  • Dempster A P. Upper and lower probabilities induced by a multivalued mapping [J].Annals of Mathematical Statistics.1967,38(2):325-[2]Shafer G. A Mathematical Theory of Evidence [M]. Princeton, Princeton University Press, 1976:1 - 302.[3]Barnett J A. Computational methods for a mathematical theory of evidence [J]. Proceedings of 7th International Joint Conference on Artificial Intelligence (IJCAI), Vancouver, 1981, Vol. Ⅱ:868 - 875.[4]徐从富,耿卫东,潘云鹤.面向数据融合的DS方法综述[J].电子学报,2001,29(3):393-396. [5]Smets P. The combination of evidence in the transferable belief model [J]. IEEE Trans. on Pattern Analysis and Machine Intelligence, 1990, 12(5): 447- 458.[5]Smets P. The transferable belief model [J].Artificial Intelligence.1994, 66(2):191-[6]Kohlas J, Monney P A. Representation of evidence by hints. In R.R. Yager, J. Kacprzyk and M. Fedrizzi (eds.), Advances in the Dempster-Shafer Theory of Evidence [M]. New York: John Wiley,1994:473 - 492.[7]Mahler R. Multisource-multitarget filtering: a unified approach[J].SPIE Proc.1998, 3373:296-[8]Shafer G. Rejoinder to comments on perspectives on the theory and practice of belief functions [J].International Journal of Approximate Reasoning.1992, 6(3):445-480
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