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Belief Inference with Timed Evidence

Methodology and Application Using Sensors in a Smart Home

  • Conference paper

Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 164))

Abstract

Smart Homes need to sense their environment. Augmented appliances can help doing this but sensors are also required. Then, data fusion is used to combine the gathered information. The belief functions theory is adapted for the computation of small pieces of context such as the presence of people or their posture. In our application, we can assume that a lot of sensors are immobile. Also, physical properties of Smart Homes and people can induce belief for more time than the exact moment of measures.

Thus, in this paper, we present a simple way to apply the belief functions theory to sensors and a methodology to take into account the timed evidence using the specificity of mass functions and the discounting operation. An application to presence detection in smart homes is presented as an example.

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References

  1. Aregui, A., Denoeux, T.: Constructing consonant belief functions from sample data using confidence sets of pignistic probabilities. International Journal of Approximate Reasoning 49, 575–594 (2008), doi:10.1016/j.ijar.2008.06.002

    Article  MathSciNet  MATH  Google Scholar 

  2. Dominici, M., Fréjus, M., Guibourdenche, J., Pietropaoli, B., Weis, F.: Towards a system architecture for recognizing domestic activity by leveraging a naturalistic human activity model. In: Workshop on Goal, Activity and Plan Recognition at the International Conference on Automated Planning and Scheduling, ICAPS 2011 (2011)

    Google Scholar 

  3. Mckeever, S., Ye, J., Coyle, L., Bleakley, C., Dobson, S.: Activity recognition using temporal evidence theory. J. Ambient Intell. Smart Environ. 2, 253–269 (2010)

    Google Scholar 

  4. Phidgets, http://www.phidgets.com/

  5. Pietropaoli, B., Dominici, M., Weis, F.: Multi-sensor Data Fusion within the Belief Functions Framework. In: Balandin, S., Koucheryavy, Y., Hu, H. (eds.) NEW2AN 2011 and ruSMART 2011. LNCS, vol. 6869, pp. 123–134. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  6. Ricquebourg, V., Delafosse, M., Delahoche, L., Marhic, B., Jolly-Desodt, A., Menga, D.: Fault Detection by Combining Redundant Sensors: a Conflict Approach Within the TBM Framework. In: Cognitive Systems with Interactive Sensors, COGIS 2007, Stanford University (2007)

    Google Scholar 

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

    MATH  Google Scholar 

  8. Smets, P.: Decision making in the tbm: the necessity of the pignistic transformation. Int. J. Approx. Reasoning 38(2), 133–147 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  9. Yager, R.: Entropy and Specificity in a Mathematical Theory of Evidence. In: Yager, R., Liu, L. (eds.) Classic Works of the Dempster-Shafer Theory of Belief Functions. STUDFUZZ, vol. 219, pp. 291–310. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

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Correspondence to Bastien Pietropaoli .

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© 2012 Springer-Verlag Berlin Heidelberg

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Pietropaoli, B., Dominici, M., Weis, F. (2012). Belief Inference with Timed Evidence. In: Denoeux, T., Masson, MH. (eds) Belief Functions: Theory and Applications. Advances in Intelligent and Soft Computing, vol 164. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29461-7_48

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  • DOI: https://doi.org/10.1007/978-3-642-29461-7_48

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-29460-0

  • Online ISBN: 978-3-642-29461-7

  • eBook Packages: EngineeringEngineering (R0)

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