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Volume 26 Issue 2
Feb.  2004
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Wang Zhuang, Yu Wen-xian, Zhuang Zhao-wen, Hu Wei-dong. The Process of Founding a Generic Evidential Model Based on Extending Compatibility Relation[J]. Journal of Electronics & Information Technology, 2004, 26(2): 233-240.
Citation: Wang Zhuang, Yu Wen-xian, Zhuang Zhao-wen, Hu Wei-dong. The Process of Founding a Generic Evidential Model Based on Extending Compatibility Relation[J]. Journal of Electronics & Information Technology, 2004, 26(2): 233-240.

The Process of Founding a Generic Evidential Model Based on Extending Compatibility Relation

  • Received Date: 2002-07-25
  • Rev Recd Date: 2003-03-03
  • Publish Date: 2004-02-19
  • Evidence modeling has become a bottleneck problem of restricting the application of D-S evidence theory currently. Dempster(1967) firstly brought forward an important conceptcompatibility relation based on the research of multi-value mapping. Shafer(1985) defined basic probability assignment functionthe model of evidence based on the compatibility relation later. By extending compatibility relation of belief function, the process of founding a generic evidential model is described for kinds of uncertainty in this paper. Compared with Apprious(1999) first model, the physical meaning of the process of founding the generic evidential model is much more explicit and the system info is much more integrated. This process of modeling has wider range of application than other modeling methods of evidence.
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  • Lawrence D S, Thomas L C, James B H. Technical documentation of nodestar(AD-A302458).Naval Research Laboratory, Washington, DC, 1995.[2]Shafer G A. Mathematical Theory of Evidence. Princeton, NJ: Princeton University Press, 1976:35-56.[3]Shafer G. Belief functions and possibility measures. Analysis of Fuzzy Information, edited by J.C. Bezdek, Boca Raton, Fln: CRC Press, 1985: 55-60.[4]George J K. Uncertainty in the Dempster-Shafer theory: a critical re-examination[J].Int. J. of General Systems.1990, 18(2):155-166[5]Smets P. The combination of evidence in the transferable belief modal[J].IEEE Trans. on Pattern Analysis and Machine Intelligence.1990, 12(5):447-458[6]Ngwenyama O K, Bryson N. Generating belief functions from qualitative preferences: An approach to eliciting expert judgments and deriving probability functions. Data Knowledge Engineering, 1998, 28(2): 145-159.[7]Coombs K, Freel D, et al.. Using Dempster-Shafer methods for object classification in the theater ballistic missile environment, SPIE vol.3719, Sensor Fusion:Architectures, Algorithms and Applications Ⅲ, 1999: 103-113.[8]罗志增,蒋静坪.基于D-S理论的多信息融合方法及应用.电子学报,1999,27(9):100-102.[9]Appriou A. Multisensor signal processing in the framework of the theory of evidence.NATO/RTO-Lecture Series 216 on Application of Mathematical Signal Processing Techniques to Mission Systems, 1999.[10]Lingras P, Wong S K M. Two perspectives of the Dempster-Shafer theory of belief functions[J].Int.J. Man-Machine Studies.1990, 33(5):467-487[11]Dempster A P. Upper and lower probabilities induced by multivalued mapping[J].Ann. Math.Stat.1967, 38(3):325-339[12]曲大健.不确定性推理的证据理论方法在地震信号解释中的应用.[博士论文],北京:清华大学,1993.
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