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Different Models with Fuzzy Random Variables in Single-Stage Decision Problems

  • Conference paper
Information Processing and Management of Uncertainty in Knowledge-Based Systems. Applications (IPMU 2010)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 81))

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Abstract

In this paper we examine two different models using fuzzy random variables as the tool for dealing with single-stage decision problems with imprecise assessments of utilities. Both of them are oriented to prove the equivalence between normal and extensive forms of Bayesian analysis. The first model uses Fubini-type techniques to obtain the result whereas the second does not construct a product space and the result is obtained by different techniques. Addition of fuzzy-valued sample information is also considered.

Authors acknowledge financial support by Grant MTM2008-01519 from Ministry of Science and Innovation, Government of Spain.

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Author information

Authors and Affiliations

  1. Department of Statistics and Operations Research, University of Oviedo, c/ Calvo Sotelo s/n, E33071, Oviedo, Spain

    Luis J. Rodríguez-Muñiz & Miguel López-Díaz

Authors
  1. Luis J. Rodríguez-Muñiz
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  2. Miguel López-Díaz
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Editor information

Editors and Affiliations

  1. Fachbereich Mathematik und Informatik, Philipps-Universität Marburg, Marburg, Germany

    Eyke Hüllermeier

  2. Department of Knowledge Processing and Language Engineering, Otto-von-Guericke University of Magdeburg, Universitätsplatz 2, 39106, Magdeburg, Germany

    Rudolf Kruse

  3. Fakultät für Elektrotechnik und Informationstechnik, Technische Universität Dortmund, 44221, Dortmund, (Germany)

    Frank Hoffmann

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Rodríguez-Muñiz, L.J., López-Díaz, M. (2010). Different Models with Fuzzy Random Variables in Single-Stage Decision Problems. In: Hüllermeier, E., Kruse, R., Hoffmann, F. (eds) Information Processing and Management of Uncertainty in Knowledge-Based Systems. Applications. IPMU 2010. Communications in Computer and Information Science, vol 81. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14058-7_30

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  • DOI: https://doi.org/10.1007/978-3-642-14058-7_30

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-14057-0

  • Online ISBN: 978-3-642-14058-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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