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Selecting Source Behavior in Information Fusion on the Basis of Consistency and Specificity

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Book cover Symbolic and Quantitative Approaches to Reasoning with Uncertainty (ECSQARU 2013)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 7958))

Abstract

Combining pieces of information provided by several sources without prior knowledge about the behavior of the sources is an old yet still important and rather open problem in belief function theory. In this paper, we propose a general approach to select the behavior of sources, based on two cornerstones of information fusion that are the notions of specificity and consistency. This approach is framed in a recently introduced and general fusion scheme that allows a wide range of assumptions on the sources. In the process, we are also led to generalize a recently introduced measure of conflict to all Boolean connectives. Eventually, we show that our approach generalizes some important existing information fusion strategies.

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References

  1. Dempster, A.P.: Upper and lower probabilities induced by a multivalued mapping. Ann. of Math. Stat. 38, 325–339 (1967)

    Article  MathSciNet  MATH  Google Scholar 

  2. Destercke, S., Burger, T.: Toward an axiomatic definition of conflict between belief functions. IEEE Trans. on Syst., Man and Cyb. - B 43(2), 585–596 (2013)

    Google Scholar 

  3. Destercke, S., Dubois, D.: Idempotent conjunctive combination of belief functions: Extending the minimum rule of possibility theory. Inf. Sciences 181(18), 3925–3945 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  4. Dubois, D., Prade, H.: A set-theoretic view of belief functions: logical operations and approximations by fuzzy sets. Int. J. of Gen. Syst. 12(3), 193–226 (1986)

    Article  MathSciNet  Google Scholar 

  5. Dubois, D., Prade, H., Smets, P.: A definition of subjective possibility. Int. J. Approx. Reasoning 48(2), 352–364 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  6. Elouedi, Z., Lefevre, E., Mercier, D.: Discountings of a belief function using a confusion matrix. In: 22nd IEEE International Conference on Tools with Artificial Intelligence (ICTAI), pp. 287–294 (2010)

    Google Scholar 

  7. Elouedi, Z., Mellouli, K., Smets, P.: The evaluation of sensors’ reliability and their tuning for multisensor data fusion within the transferable belief model. In: Benferhat, S., Besnard, P. (eds.) ECSQARU 2001. LNCS (LNAI), vol. 2143, pp. 350–361. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  8. Jousselme, A.-L., Maupin, P.: Distances in evidence theory: Comprehensive survey and generalizations. Int. J. Approx. Reasoning 53(2), 118–145 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  9. Liu, W.: Analyzing the degree of conflict among belief functions. Artif. Intell. 170(11), 909–924 (2006)

    Article  MATH  Google Scholar 

  10. Ma, J., Liu, W., Dubois, D., Prade, H.: Bridging Jeffrey’s rule, AGM revision and Dempster conditioning in the theory of evidence. Int. J. on Artif. Intell. Tools 20(4), 691–720 (2011)

    Article  Google Scholar 

  11. Mercier, D., Quost, B., Denoeux, T.: Refined modeling of sensor reliability in the belief function framework using contextual discounting. Inf. Fusion 9, 246–258 (2008)

    Article  Google Scholar 

  12. Pichon, F.: On the α-conjunctions for combining belief functions. In: Denœux, T., Masson, M.-H. (eds.) Belief Functions: Theory & Appl. AISC, vol. 164, pp. 285–292. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  13. Pichon, F., Denœux, T.: The unnormalized Dempster’s rule of combination: A new justification from the least commitment principle and some extensions. J. Autom. Reasoning 45(1), 61–87 (2010)

    Article  MATH  Google Scholar 

  14. Pichon, F., Dubois, D., Denœux, T.: Relevance and truthfulness in information correction and fusion. Int. J. Approx. Reasoning 53(2), 159–175 (2012)

    Article  MATH  Google Scholar 

  15. Schubert, J.: Conflict management in Dempster-Shafer theory using the degree of falsity. Int. J. Approx. Reasoning 52(3), 449–460 (2011)

    Article  MathSciNet  Google Scholar 

  16. Shafer, G.: A mathematical theory of evidence. Princeton University Press (1976)

    Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  18. Smets, P.: Analyzing the combination of conflicting belief functions. Inf. Fusion 8(4), 387–412 (2007)

    Article  MathSciNet  Google Scholar 

  19. Smets, P., Kennes, R.: The transferable belief model. Artif. Intell. 66, 191–243 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  20. Wilson, N.: Algorithms for Dempster-Shafer theory. In: Handbook of Defeasible Reasoning and Uncertainty Management Systems, vol. 5, pp. 421–475 (2000)

    Google Scholar 

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Author information

Authors and Affiliations

  1. Thales Research and Technology, Campus Polytechnique, 1 avenue Augustin Fresnel, 91767, Palaiseau cedex, France

    Frédéric Pichon

  2. CNRS, UMR Heudiasyc, Centre de Recherches de Royallieu, Compiègne, France

    Sébastien Destercke

  3. CNRS, iRTSV (FR3425), CEA / iRTSV / BGE, INSERM (U1038), Université de Grenoble, France

    Thomas Burger

Authors
  1. Frédéric Pichon
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  2. Sébastien Destercke
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  3. Thomas Burger
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Editor information

Editors and Affiliations

  1. Department of Information and Computing Sciences, Utrecht University, Princetonplein 5, 3584 CC, Utrecht, The Netherlands

    Linda C. van der Gaag

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© 2013 Springer-Verlag Berlin Heidelberg

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Pichon, F., Destercke, S., Burger, T. (2013). Selecting Source Behavior in Information Fusion on the Basis of Consistency and Specificity. In: van der Gaag, L.C. (eds) Symbolic and Quantitative Approaches to Reasoning with Uncertainty. ECSQARU 2013. Lecture Notes in Computer Science(), vol 7958. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39091-3_40

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  • DOI: https://doi.org/10.1007/978-3-642-39091-3_40

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-39090-6

  • Online ISBN: 978-3-642-39091-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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