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Continuous Classification Aggregation

Zijun Meng

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

Date: 2025-07, Revised 2025-07
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