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Rationality of Fuzzy Preferences

  • Chapter
Fuzzy Social Choice Theory

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 315))

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Abstract

Abstract Social choice theory is built upon the presupposition of rationality. At an individual level, rationality requires completeness and transitivity. Completeness refers to a preference where an individual either prefers x to y, y to x or is indifferent between the two options. Transitivity means that if there are three options and an individual prefers x to y and y to z, then they must also prefer x to z. This chapter considers how these two conditions work under fuzzy preferences to present a unified approach to the rationalization of fuzzy preferences. Specifically, fuzzy weak preference relations are shown to provide social scientists with greater flexibility when applying fuzzy social choice to empirical examples.

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Author information

Authors and Affiliations

  1. Rochester, New York, USA

    Michael B. Gibilisco

  2. Papillion, Nebraska, USA

    Annie M. Gowen

  3. Lincoln, Nebraska, USA

    Karen E. Albert

  4. Department of Mathematics , Creighton University, Omaha, Nebraska, USA

    John N. Mordeson

  5. Department of Computer Science , Creighton University, Omaha, Nebraska, USA

    Mark J. Wierman

  6. Department of Political Science , Creighton University, Omaha, Nebraska, USA

    Terry D. Clark

Authors
  1. Michael B. Gibilisco
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  2. Annie M. Gowen
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  3. Karen E. Albert
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  4. John N. Mordeson
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  5. Mark J. Wierman
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  6. Terry D. Clark
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Correspondence to Michael B. Gibilisco .

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Gibilisco, M.B., Gowen, A.M., Albert, K.E., Mordeson, J.N., Wierman, M.J., Clark, T.D. (2014). Rationality of Fuzzy Preferences. In: Fuzzy Social Choice Theory. Studies in Fuzziness and Soft Computing, vol 315. Springer, Cham. https://doi.org/10.1007/978-3-319-05176-5_3

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  • DOI: https://doi.org/10.1007/978-3-319-05176-5_3

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-05175-8

  • Online ISBN: 978-3-319-05176-5

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