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Consonant Random Sets: Structure and Properties

  • Conference paper
Symbolic and Quantitative Approaches to Reasoning with Uncertainty (ECSQARU 2005)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3571))

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Abstract

In this paper, we investigate consonant random sets from the point of view of lattice theory. We introduce a new definition of consonancy and study its relationship with possibility measures as upper probabilities. This allows us to improve a number of results from the literature. Finally, we study the suitability of consonant random sets as models of the imprecise observation of random variables.

The research in this paper has been partially supported by MEC-DGI, grant numbers MTM2004-01269 and TSI2004-06801-C04-01. The scientific responsability rests with the author.

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Author information

Authors and Affiliations

  1. Department of Informatics, Statistics and Telematics, Rey Juan Carlos University, C-Tulipán, s/n, 28933, Móstoles, Spain

    Enrique Miranda

Authors
  1. Enrique Miranda
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Editor information

Editors and Affiliations

  1. IIIA - CSIC, 08193, Bellaterra, Spain

    Lluís Godo

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© 2005 Springer-Verlag Berlin Heidelberg

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Miranda, E. (2005). Consonant Random Sets: Structure and Properties. In: Godo, L. (eds) Symbolic and Quantitative Approaches to Reasoning with Uncertainty. ECSQARU 2005. Lecture Notes in Computer Science(), vol 3571. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11518655_72

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  • DOI: https://doi.org/10.1007/11518655_72

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-27326-4

  • Online ISBN: 978-3-540-31888-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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