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“Soft” Degrees of Consensus Under Fuzzy Preferences and Fuzzy Majorities

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Consensus Under Fuzziness

Part of the book series: International Series in Intelligent Technologies ((ISIT,volume 10))

Abstract

We advocate a need for a degree of consensus to reflect a human-consistent and realistic perception of consensus. Starting with fuzzy preference relations and a fuzzy majority expressed by a fuzzy linguistic quantifier, we show how to develop a degree of consensus which expresse a degree to which, say, most of the relevant individuals agree as to almost all of the important alternatives. We employ Zadeh’s (1983) and Yager’s (1983) fuzzy-logic-based calculi of linguistically quantified statements, and Yager’s (1988, 1996) ordered weighted averaging (OWA) operator based calculus.

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Author information

Authors and Affiliations

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

    Janusz Kacprzyk

  2. Department of Informatics and Managerial Sciences, University of Trento, Via Inama 5, 30100, Trento, Italy

    Mario Fedrizzi

  3. Department of Political Science, University of Turku, 20500, Turku, Finland

    Hannu Nurmi

Authors
  1. Janusz Kacprzyk
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  2. Mario Fedrizzi
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  3. Hannu Nurmi
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Editor information

Editors and Affiliations

  1. Polish Academy of Sciences, Warsaw, Poland

    Janusz Kacprzyk

  2. University of Turku, Turku, Finland

    Hannu Nurmi

  3. University of Trento, Trento, Italy

    Mario Fedrizzi

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Kacprzyk, J., Fedrizzi, M., Nurmi, H. (1997). “Soft” Degrees of Consensus Under Fuzzy Preferences and Fuzzy Majorities. In: Kacprzyk, J., Nurmi, H., Fedrizzi, M. (eds) Consensus Under Fuzziness. International Series in Intelligent Technologies, vol 10. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-6333-4_4

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  • DOI: https://doi.org/10.1007/978-1-4615-6333-4_4

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7908-9

  • Online ISBN: 978-1-4615-6333-4

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