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Consistency Conditions for Fuzzy Choice Functions

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Computational Intelligence, Theory and Applications

Part of the book series: Advances in Soft Computing ((AINSC,volume 33))

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Abstract

We introduce the consistency conditions Fα, Fβ, Fδ as fuzzy forms of Sen’s properties α, β and δ. One first result shows that a fuzzy choice function satisfies Fα, Fβ if and only if the congruence axiom WFCA holds. The second one shows that if h is a normal fuzzy choice function then Fδ holds if and only if the associated preference relation R is quasi-transitive.

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Author information

Authors and Affiliations

  1. Institute for Advanced Management Systems Research, Turku Centre for Computer Science, Ȧbo Akademi University, Lemminkäisenkatu 14, FIN-20520, Turku, Finland

    Irina Georgescu

Authors
  1. Irina Georgescu
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Editor information

Editors and Affiliations

  1. Department of Computer Science 1, University of Dortmund, FB 8 Ektrotechnik FB Informatik LS Informatik I, Postfach 50 05 00, 44221, Dortmund, Germany

    Bernd Reusch

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© 2005 Springer-Verlag Berlin Heidelberg

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Georgescu, I. (2005). Consistency Conditions for Fuzzy Choice Functions. In: Reusch, B. (eds) Computational Intelligence, Theory and Applications. Advances in Soft Computing, vol 33. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-31182-3_29

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  • DOI: https://doi.org/10.1007/3-540-31182-3_29

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22807-3

  • Online ISBN: 978-3-540-31182-9

  • eBook Packages: EngineeringEngineering (R0)

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