ABSTRACT In this paper, we study those functions that allows us to combine a family of quasi-metrics, defined all of them on the same set, into a single one, which will be called quasi-metric aggregation functions. In particular, we characterize the quasi-metric aggregation functions and, in addition, we discuss a few of their properties. Moreover, a few methods to discard those functions that are useless as quasi-metric aggregation functions are introduced. Throughout the paper, different examples justify and illustrate the results presented. Finally, two possible fields where the developed theory can be useful are exposed.

中文翻译：

---

表征准度量聚合函数

摘要在本文中，我们研究了那些允许我们将一系列准度量组合在一起的函数，这些准度量在同一集合上定义了所有这些函数，将它们组合成一个单一的函数，称为准度量聚合函数。特别是，我们描述了准度量聚合函数的特征，此外，我们还讨论了它们的一些属性。此外，还介绍了一些方法来丢弃那些作为准度量聚合函数无用的函数。在整篇论文中，不同的例子证明并说明了所呈现的结果。最后，揭示了所开发的理论可能有用的两个可能的领域。