Abstract Based on results concerning equivalences on direct products of sets, a representation of aggregation functions acting on products of ordered structures by means of aggregation functions acting component-wise is obtained and discussed. In particular, t-norms and t-conorms on direct products of bounded lattices are considered, generalizing some earlier results of De Baets and Mesiar.

中文翻译：

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关于聚合函数对偏序集直接积的可分解性

摘要 基于集合直积等价的结果，得到并讨论了聚合函数作用于有序结构积的聚合函数的表示。特别地，考虑了有界格的直接乘积的 t-范数和 t-conorms，概括了 De Baets 和 Mesiar 的一些早期结果。