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arXiv · 2503.23938

New results about aggregation functions of quasi-pseudometric modulars

Alejandro Fructuoso-Bonet·Jesús Rodríguez-López
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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 $X$ 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.

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Alejandro Fructuoso-Bonet, Jesús Rodríguez-López. 2025-03-31. New results about aggregation functions of quasi-pseudometric modulars. https://doi.org/10.3390/math13050809

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