Fuzzy classification aggregation

Federico Fioravanti

Mathematical Social Sciences, 2025, vol. 135, issue C

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 classifications are fuzzy, that is, objects belong to a category to a certain degree, then an optimal and independent aggregator rule that satisfies a weak unanimity condition belongs to the family of Weighted Arithmetic Means. We also obtain characterization results for m=p=2.

Keywords: Classification aggregation; Weighted Arithmetic Mean; Fuzzy setting (search for similar items in EconPapers)
JEL-codes: D71 (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matsoc:v:135:y:2025:i:c:s016548962500037x

DOI: 10.1016/j.mathsocsci.2025.102422

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