New results about aggregation functions of quasi-pseudometric modulars
General Topology
2025-04-01 v1
Abstract
In recent studies, Bibiloni-Femenias, Mi\~{n}ana and Valero characterized the functions that aggregate a family of (quasi-)(pseudo)metric modulars defined over a fixed set into a single one. In this paper, we adopt a related but different approach to examine those functions that allow us to define a (quasi-)(pseudo)metric modular in the Cartesian product of (quasi-)(pseudo)metric modular spaces. We base our research on the recent development of a general theory of aggregation functions between quantales. This enables to shed light between the two different ways of aggregation (quasi-)(pseudo)metric modulars.
Keywords
Cite
@article{arxiv.2503.23938,
title = {New results about aggregation functions of quasi-pseudometric modulars},
author = {Alejandro Fructuoso-Bonet and Jesús Rodríguez-López},
journal= {arXiv preprint arXiv:2503.23938},
year = {2025}
}