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A new fusion approach based on distance of evidences

  • Computer & Information Science
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Abstract

Based on the framework of evidence theory, data fusion aims at obtaining a single Basic Probability Assignment (BPA) function by combining several belief functions from distinct information sources. Dempster’s rule of combination is the most popular rule of combinations, but it is a poor solution for the management of the conflict between various information sources at the normalization step. Even when it faces high conflict information, the classical Dempster-Shafer’s (D-S) evidence theory can involve counter-intuitive results. This paper presents a modified averaging method to combine conflicting evidence based on the distance of evidences; and also gives the weighted average of the evidence in the system. Numerical examples showed that the proposed method can realize the modification ideas and also will provide reasonable results with good convergence efficiency.

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References

  • Dempster, A., 1967. Upper and lower probabilities induced by a multi-valued mapping.Ann. Math. Stat.,38:325–339.

    Article  MATH  Google Scholar 

  • Dubois, D., Prade, H., 1998. Representation and combination of uncertainty with belief functions and possibility measures.Computational Intelligence,4:244–264.

    Article  Google Scholar 

  • Goodman, I., Mahler, R.P.S., Nguyen, H.T., 1997. Mathematics of Data Fusion. Kluwer Academic Publishers, Dordrecht.

    Book  MATH  Google Scholar 

  • Hall, D.L., Linas, J., 2001. Handbook of Multisensor Data Fusion. CRC Press.

  • Jousselme, A.L., Grenier, D., Bosse, E., 2001. A new distance between two bodies of evidence.Information Fusion,2:91–101.

    Article  Google Scholar 

  • Lefevre, E., Colot, O., Vannoorenberghe, P., 2002. Belief function combination and conflict management.Information Fusion,3:149–162.

    Article  Google Scholar 

  • Linas, J., Waltz, E., 1990. Multisensor Data Fusion. Artech House, Massachusetts.

  • Murphy, C.K., 2000. Combining belief functions when evidence conflicts.Decisions Support Systems,29:1–9.

    Article  Google Scholar 

  • Pearl, J., 1990. Reasoning with belief functions: an analysis of compatibility.Int J of Approx Reason,4:636–389.

    Article  MathSciNet  MATH  Google Scholar 

  • Shafer, G., 1976. A Mathematical Theory of Evidence. Princeton University Press.

  • Smets, P., 1990. The combination of evidence in the transferable belief model.IEEE Transactions on Pattern Analysis and Machine Intelligence,12(5):447–458.

    Article  Google Scholar 

  • Smets, P., 1993. Belief functions: the disjunctive rule of combination and the generalized Bayesian theorem.Int J Approx Reason,9:1–35.

    Article  MathSciNet  MATH  Google Scholar 

  • Voorbraak, F., 1991. On the justification of Dempster’s rule of combination.Artificial Intelligence,48:253–286.

    Article  MathSciNet  MATH  Google Scholar 

  • Yager, R.R., 1986. On the Dempster-Shafer framework and new combination rules.Information Science,41(2):93–137.

    Article  MathSciNet  MATH  Google Scholar 

  • Zadeh, L., 1986. A simple view of the Dempster-Shafer theory of evidence and its implication for the rule of combination.AI Mag. 7(1):85–90.

    Google Scholar 

Download references

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Project (No. 51476040103JW13) supported by the National Defense Key Laboratory of Target and Environment Feature of China

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Liang-zhou, C., Wen-kang, S., Yong, D. et al. A new fusion approach based on distance of evidences. J. Zheijang Univ.-Sci. A 6, 476–482 (2005). https://doi.org/10.1631/jzus.2005.A0476

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  • DOI: https://doi.org/10.1631/jzus.2005.A0476

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