We introduce four kinds of convolutions of aggregation functions defined on and study their properties, including their mutual relationships and connections to super-additive, sub-additive, and k-bounded transformations of aggregation functions. We also discuss convolutions of aggregation functions defined on the unit cube and the extended space .

中文翻译：

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聚合函数的卷积

我们介绍了定义在聚合函数上的四种卷积并研究了它们的性质，包括它们的相互关系和与聚合函数的超可加性、亚可加性和 k 有界变换的联系。我们还讨论了定义在单位立方体和扩展空间上的聚合函数的卷积。