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Fuzzy Classification Aggregation

Author

Listed:
  • Federico Fioravanti

    (University of Amsterdam/UNS-CONICET)

Abstract

We consider the problem where a set of individuals has to classify m objects into p categories and does so by aggregating the individual classifications. We show that if m = 3, m = p = 2, and classificationsare fuzzy, that is, objects belong to a category to a certain degree, then an independent aggregator rule that satisfies a weak unanimity condition belongs to the family of Weighted Arithmetic Means. Wealso obtain characterization results for m = p = 2.

Suggested Citation

  • Federico Fioravanti, 2024. "Fuzzy Classification Aggregation," Working Papers 312, Red Nacional de Investigadores en Economía (RedNIE).
    • Handle: RePEc:aoz:wpaper:312
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    File URL: https://rednie.eco.unc.edu.ar/files/DT/312.pdf
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    References listed on IDEAS

    as
    1. Dutta, Bhaskan, 1987. "Fuzzy preferences and social choice," Mathematical Social Sciences, Elsevier, vol. 13(3), pages 215-229, June.
    2. Samet, Dov & Schmeidler, David, 2003. "Between liberalism and democracy," Journal of Economic Theory, Elsevier, vol. 110(2), pages 213-233, June.
    3. Federico Fioravanti & Fernando Tohmé, 2021. "Alternative Axioms in Group Identification Problems," Journal of Classification, Springer;The Classification Society, vol. 38(2), pages 353-362, July.
    4. Dutta, Bhaskar & Panda, Santosh C. & Pattanaik, Prasanta K., 1986. "Exact choice and fuzzy preferences," Mathematical Social Sciences, Elsevier, vol. 11(1), pages 53-68, February.
    5. Conal Duddy & Ashley Piggins, 2018. "On some oligarchy results when social preference is fuzzy," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(4), pages 717-735, December.
    6. Cho, Wonki Jo & Park, Chang Woo, 2018. "Fractional group identification," Journal of Mathematical Economics, Elsevier, vol. 77(C), pages 66-75.
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    More about this item

    Keywords

    Classification Aggregation; Weighted Arithmetic Mean; Fuzzy Setting.;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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