In many fields of applied sciences, the aggregation of numerical values, in order to get a final one which allows to make a decision, plays a central role. Many times these numerical values represent dissimilarities and the merged value can be interpreted as a global dissimilarity. Inspired, on the one hand, by the interest that causes the dissimilarities aggregation problem and, on the other hand, by the utility of generalized dissimilarities in applied sciences, we focus our work on the problem of merging the so-called partial quasi-metrics, which have been introduced in the literature with the aim of developing a framework that allows to unify the notion of metric, quasi-metric and partial metric under a unique one. Concretely, we characterize those functions that merge a collection of partial quasi-metrics into a new one. Moreover, a few relationships between this kind of functions and those that merge (quasi-)metrics and partial metrics are discussed. Furthermore, a general fixed point result for contractions obtained through aggregation functions is given.

在应用科学的许多领域中，数值的汇总（以便得出可以做出决定的最终数值）起着核心作用。这些数值很多时候表示不相似，合并后的值可以解释为全局不相似。一方面，受到引起差异相似性聚集问题的兴趣的启发，另一方面，由于受到了应用科学中广义差异的实用性的启发，我们将工作重点放在了合并所谓的部分拟量度的问题上，已在文献中引入，目的是开发一种框架，该框架允许在一个唯一的框架下统一度量，准度量和部分度量的概念。具体来说，我们描述将部分准度量集合合并为新函数的那些函数。此外，讨论了这类功能与合并（准）度量和部分度量的功能之间的一些关系。此外，给出了通过聚合函数获得的收缩的一般不动点结果。