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 $m=p=2$.

翻译：我们证明，对于将 $m\\ge 3$ 个对象划分为 $2\\le p\\le m$ 种类型的连续个体分类，任何最优、独立且零一致模糊分类聚合函数必须是加权算术平均。此外，我们还针对 $m=p=2$ 的情形给出了一个特征刻画。