Abstract
This contribution deals with a belief processing which enables managing of multiple and overlapping elements of a frame of discernment. An outline of the Dempster-Shafer theory for such cases is presented, including several types of constraints for simplification of its large computational complexity. DSmT – a new theory rapidly developing the last five years – is briefly introduced. Finally, it is shown that the DSmT is a special case of the general Dempster-Shafer approach.
This work was supported by the grant 1ET100300419 GA AV ČR, and in part by the Institutional Research Plan AV0Z10300504 “Computer Science for the Information Society: Models, Algorithms, Applications”.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Daniel, M.: Distribution of Contradictive Belief Masses in Combination of Belief Functions. In: Bouchon-Meunier, B., Yager, R.R., Zadeh, L.A. (eds.) Information, Uncertainty and Fusion, pp. 431–446. KluwerAcademicPublishers, Dordrecht (2000)
Daniel, M.: A Generalization of the Classic Combination Rules to DSm Hyperpower Sets. Information & Security. An Internat. Journal 20, 50–64 (2006)
Dezert, J.: Foundations for a New Theory of Plausible and Paradoxical Reasoning. An International Journal of Information and Security 9 (2002)
Dubois, D., Prade, H.: Representation an combination of uncertainty with belief functions and possibility measures. Computational Intelligence 4, 244–264 (1988)
Klir, G.J., Folger, T.A.: Fuzzy Sets, Uncertainty, and Information. Prentice-Hall, Englewood Cliffs (1988)
Shafer, G.: A Mathematical Theory of Evidence. Princeton University Press, Princeton (1976)
Smarandache, F., Dezert, J.: Advances and Applications of DSmT for Information Fusion. American Research Press, Rehoboth (2004)
Smarandache, F., Dezert, J.: Advances and Applications of DSmT for Information Fusion, vol. 2. American Research Press, Rehoboth (2006)
Smets, P.: The combination of evidence in the transferable belief model. IEEE Pattern analysis and Machine Intelligence 12, 447–458 (1990)
Yager, R.R.: On the Demspter-Shafer framework and new combination rules. Information Sciences 41, 93–138 (1987)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2007 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Daniel, M. (2007). The DSm Approach as a Special Case of the Dempster-Shafer Theory. In: Mellouli, K. (eds) Symbolic and Quantitative Approaches to Reasoning with Uncertainty. ECSQARU 2007. Lecture Notes in Computer Science(), vol 4724. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75256-1_35
Download citation
DOI: https://doi.org/10.1007/978-3-540-75256-1_35
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-75255-4
Online ISBN: 978-3-540-75256-1
eBook Packages: Computer ScienceComputer Science (R0)