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Combining Soft Computing and Statistical Methods in Data Analysis pp 105–113Cite as

Expected Pair-Wise Comparison of the Outcomes of a Fuzzy Random Variable

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Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 77))

Abstract

We introduce the notion of expected pair-wise comparison of a fuzzy random variable. It includes some well-known parameters such as the quadratic entropy of a random variable, the upper probability induced by a random set or the scalar variance of a fuzzy random variable as particular cases. The special case of expected dissimilitude is highlighted and shown as a useful alternative to the scalar variance when the images of the fuzzy random variable are not necessarily convex, nor in a numerical scale.

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Author information

Authors and Affiliations

  1. Dep. of Statistics and O.R, University of Oviedo, Spain

    Inés Couso, Laura Garrido & Susana Montes

  2. Dep. of Computer Sciences, University of Oviedo, Spain

    Luciano Sánchez

Authors
  1. Inés Couso
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  2. Laura Garrido
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  3. Susana Montes
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  4. Luciano Sánchez
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Editor information

Editors and Affiliations

  1. Research Unit on Intelligent Data Analysis and Graphical Models, European Centre for Soft Computing Edificio Científico-Tecnológico. 3a Planta, C/ Gonzalo Gutiérrez Quirós s/n, 33600, Mieres, Spain

    Christian Borgelt , Gil González-Rodríguez  & Wolfgang Trutschnig ,  & 

  2. Departamento de Estadística e I.O. y D.M., Universidad de Oviedo, Facultad de Ciencias, C/ Calvo Sotelo s/n, 33007, Oviedo, Spain

    María Asunción Lubiano

  3. Departamento de Estadística e I.O. yD.M., Universidad de Oviedo, Facultad de Ciencias, C/ Calvo Sotelo s/n, 33007, Oviedo, Spain

    María Ángeles Gil

  4. Systems Research Institute, Polish Academy of Sciences, Newelska 6, 01-447, Warsaw, Poland

    Przemysław Grzegorzewski

  5. Systems Research Institute, Polish Academy of Science, Newelska 6, 01-447, Warsaw, Poland

    Olgierd Hryniewicz

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© 2010 Springer-Verlag Berlin Heidelberg

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Cite this paper

Couso, I., Garrido, L., Montes, S., Sánchez, L. (2010). Expected Pair-Wise Comparison of the Outcomes of a Fuzzy Random Variable. In: Borgelt, C., et al. Combining Soft Computing and Statistical Methods in Data Analysis. Advances in Intelligent and Soft Computing, vol 77. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14746-3_14

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  • DOI: https://doi.org/10.1007/978-3-642-14746-3_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-14745-6

  • Online ISBN: 978-3-642-14746-3

  • eBook Packages: EngineeringEngineering (R0)

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