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An Imprecise Probability Approach to Joint Extensions of Stochastic and Interval Orderings

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Advances in Computational Intelligence (IPMU 2012)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 299))

Abstract

This paper deals with methods for ranking uncertain quantities in the setting of imprecise probabilities. It is shown that many techniques for comparing random variables or intervals can be generalized by means of upper and lower expectations of sets of gambles, so as to compare more general kinds of uncertain quantities. We show that many comparison criteria proposed so far can be cast in a general form.

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Author information

Authors and Affiliations

  1. Universidad Oviedo, Gijon, Spain

    Inés Couso

  2. IRIT-CNRS, Toulouse, France

    Didier Dubois

Authors
  1. Inés Couso
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  2. Didier Dubois
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Editor information

Editors and Affiliations

  1. Faculty of Economics, University of Catania, Corso Italia, 55, 95129, Catania, Italy

    Salvatore Greco  & Benedetto Matarazzo  & 

  2. CNRS UMR 7606, DAPA, LIP6 8, Université Pierre et Marie Curie - Paris6, rue du Capitaine Scott, F-75015, Paris, France

    Bernadette Bouchon-Meunier

  3. Dip. Matematica e Informatica, Università di Perugia, 06123, Perugia, Italy

    Giulianella Coletti

  4. Department of Computer and Management Science, University of Trento, Via Inama 5, 38122, Trento, Italy

    Mario Fedrizzi

  5. Machine Intelligence Institute — IONA College, 10801, New Rochelle, NY, USA

    Ronald R. Yager

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© 2012 Springer-Verlag Berlin Heidelberg

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Couso, I., Dubois, D. (2012). An Imprecise Probability Approach to Joint Extensions of Stochastic and Interval Orderings. In: Greco, S., Bouchon-Meunier, B., Coletti, G., Fedrizzi, M., Matarazzo, B., Yager, R.R. (eds) Advances in Computational Intelligence. IPMU 2012. Communications in Computer and Information Science, vol 299. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31718-7_41

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  • DOI: https://doi.org/10.1007/978-3-642-31718-7_41

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31717-0

  • Online ISBN: 978-3-642-31718-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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