Skip to main content

Dempster-Shafer Theory with Smoothness

  • Conference paper
  • 888 Accesses

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 8032))

Abstract

This paper introduces the idea of a modified Dempster-Shafer theory. We adapt the belief characteristic of expert combination by introducing a penalty term which is specific to the investigated object. This approach is motivated by the observation that final decisions in the Dempster-Shafer theory might tend to fluctuations due to variations in sensor inputs on small time scales, even if the real phenomenological characteristic is stable.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   49.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Böck, R., Limbrecht, K., Siegert, I., Glüge, S., Walter, S., Wendemuth, A.: Combining mimic and prosodic analyses for user disposition classification. In: Proceedings of the 23. Konferenz Elektronische Sprachsignalverarbeitung (ESSV 2012), pp. 220–228 (2012)

    Google Scholar 

  2. Böck, R., Limbrecht, K., Walter, S., Hrabal, D., Traue, H.C., Glüge, S., Wendemuth, A.: Intraindividual and interindividual multimodal emotion analyses in human-machine-interaction. In: 2012 IEEE International Multi-Disciplinary Conference on Cognitive Methods in Situation Awareness and Decision Support (CogSIMA), pp. 59–64 (2012)

    Google Scholar 

  3. Dempster, A.P.: A generalization of bayesian inference. In: Yager, R.R., Liu, L. (eds.) Classic Works of the Dempster-Shafer Theory of Belief Functions. STUDFUZZ, vol. 219, pp. 73–104. Springer, Heidelberg (2008); reprint of a talk given at a Research Methods Meeting of the Royal Statistical Society (February 14, 1968)

    Chapter  Google Scholar 

  4. Kennes, R., Smets, P.: Fast algorithms for Dempster-Shafer theory. In: Bouchon-Meunier, B., Zadeh, L.A., Yager, R.R. (eds.) IPMU 1990. LNCS, vol. 521, pp. 14–23. Springer, Heidelberg (1991)

    Chapter  Google Scholar 

  5. Koelstra, S., Mühl, C., Patras, I.: Eeg analysis for implicit tagging of video data. In: 3rd International Conference on Affective Computing and Intelligent Interaction and Workshops, pp. 1–6. IEEE (2009)

    Google Scholar 

  6. Krell, G., Glodek, M., Panning, A., Siegert, I., Michaelis, B., Wendemuth, A., Schwenker, F.: Fusion of fragmentary classifier decisions for affective state recognition. In: Proceedings of the First IAPR Workshop on Multimodal Pattern Recognition of Social Signals in Human Computer Interaction, Tsukuba Science City, Japan (2012) (to appear)

    Google Scholar 

  7. Dupin de Saint-Cyr, F., Lang, J., Sabatier, P., Schiex, T.: Penalty logic and its link with dempster-shafer theory. In: Proc. of the 10th Conf. on Uncertainty in Artificial Intelligence, pp. 204–211. Morgan Kaufmann (1994)

    Google Scholar 

  8. Scherer, K.R.: What are emotions? and how can they be measured? Social Science Information 44(4), 695–729 (2005)

    Article  Google Scholar 

  9. Sentz, K., Ferson, S.: Combination of evidence in dempster-shafer theory. Tech. rep., Sandia National Laboratories (2002)

    Google Scholar 

  10. Shafer, G.: A Mathematical Theory of Evidence. Princeton University Press (1976)

    Google Scholar 

  11. Vlasenko, B., Böck, R., Wendemuth, A.: Modeling affected user behavior during human-machine interaction. In: Proceedings of the 5th International Conference on Speech Prosody 2010, Chicago, Illinois, USA, pp. 44–47 (2010)

    Google Scholar 

  12. Vlasenko, B., Philippou-Hübner, D., Prylipko, D., Böck, R., Siegert, I., Wendemuth, A.: Vowels formants analysis allows straightforward detection of high arousal emotions. In: Proceedings of the IEEE International Conference on Multimedia and Expo, ICME 2011, Barcelona, Spain (2011), elec. resource

    Google Scholar 

  13. Walter, S., et al.: Multimodal Emotion Classification in Naturalistic User Behavior. In: Jacko, J.A. (ed.) Human-Computer Interaction, Part III, HCII 2011. LNCS, vol. 6763, pp. 603–611. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  14. Zhang, L.: Representation, independence, and combination of evidence in the dempster-shafer theory. In: Yager, R.R., Fedrizzi, M., Kacprzyk, J. (eds.) Advances in the Dempster-Shafer Theory of Evidence, pp. 51–69. Wiley (1994)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Böck, R., Glüge, S., Wendemuth, A. (2013). Dempster-Shafer Theory with Smoothness. In: Qin, Z., Huynh, VN. (eds) Integrated Uncertainty in Knowledge Modelling and Decision Making. IUKM 2013. Lecture Notes in Computer Science(), vol 8032. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39515-4_2

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-39515-4_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-39514-7

  • Online ISBN: 978-3-642-39515-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics