Continuous Classification Aggregation

Zijun Meng

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arXiv · 2507.05297

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 $m=p=2$.

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Zijun Meng. 2025-07-06. Continuous Classification Aggregation. https://arxiv.org/abs/2507.05297

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