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arXiv · 2604.26775

Aggregation functions as lax morphisms of quantales

Alejandro Fructuoso-Bonet·Jesús Rodríguez-López
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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.

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Alejandro Fructuoso-Bonet, Jesús Rodríguez-López. 2026-04-29. Aggregation functions as lax morphisms of quantales. https://doi.org/10.1016/j.fss.2025.109395

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