Aggregation functions as lax morphisms of quantales
arXiv:2604.26775 · doi:10.1016/j.fss.2025.109395
Abstract
We will generalize the concept of aggregation function for mathematical structures as a certain function between quantales. In fact, these functions turn to be exactly the lax morphism of quantales. This provides a global framework for the study of aggregation functions. As a consequence of our theory, we are able to deduce several known results about the aggregation of metrics and fuzzy metrics.
26 pages