2024/02/27 by Fioravanti, Federico · 1 citation
#FOS: Economics and business #Theoretical Economics (econ.TH)
paper · doi:10.48550/arxiv.2402.17620
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.