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From Comparative Degrees of Belief to Conditional Measures

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Preferences and Decisions

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 257))

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Abstract

Aim of this paper is to give a contribute to the discussion about the “best” definition of conditional model for plausibilty functions and its subclass of the possibility functions.

We propose to use the framework of the theory of measurements: by studying the comparative structure underling different conditional models. This approach gives an estimate of the “goodness” and “effectiveness” of the model, by pointing out the rules necessarily accepted by the user.Moreover, the results related to the characterization of comparative degree of belief by means conditional uncertainty measures can be used in decision theory. They are in fact necessary when we need a model for a decision maker interested in choosing by taking into account, at the same moment, different scenarios.

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Author information

Authors and Affiliations

  1. Dept. Matematica e Informatica, Univ. of Perugia, via Vanvitelli 1, Perugia, Italy

    Giulianella Coletti

  2. Dept. Me.Mo.Mat., Univ. La Sapienza of Rome, via Scarpa 16, Rome, Italy

    Barbara Vantaggi

Authors
  1. Giulianella Coletti
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  2. Barbara Vantaggi
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Editor information

Editors and Affiliations

  1. Department of Economics and Quantitative Methods, University of Catania, Corso Italia 55, 95129, Catania, Italy

    Salvatore Greco

  2. Department of Computer and Management Sciences, University of Trento, Via Inama 5, 38122, Trento, Italy

    Ricardo Alberto Marques Pereira

  3. Department of Economical and Social Sciences, University of Sannio at Benevento, Via delle Puglie, 82100, Benevento, Italy

    Massimo Squillante

  4. Machine Intelligence Institute, Iona College, 10801, New Rochelle, NY, USA

    Ronald R. Yager

  5. Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01–447, Warsaw, Poland

    Janusz Kacprzyk

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Coletti, G., Vantaggi, B. (2010). From Comparative Degrees of Belief to Conditional Measures. In: Greco, S., Marques Pereira, R.A., Squillante, M., Yager, R.R., Kacprzyk, J. (eds) Preferences and Decisions. Studies in Fuzziness and Soft Computing, vol 257. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15976-3_5

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  • DOI: https://doi.org/10.1007/978-3-642-15976-3_5

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