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Continuous Classification Aggregation

arXiv 2507.05297 ↗First posted 6 Jul 2025cs.AI cs.SY econ.THcited by 0

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Abstract (arXiv)

We prove that any optimal, independent, and zero unanimous fuzzy classification aggregation function of a continuum of individual classifications of m≥ 3 objects into 2≤ p≤ m types must be a weighted arithmetic mean. We also provide a characterization for the case when m=p=2.

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