New results about aggregation functions of quasi-pseudometric modulars

[EN] In recent studies, Bibiloni-Femenias, Miñana, 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 defi...

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Detalles Bibliográficos
Autores: Fructuoso-Bonet, Alejandro, Rodríguez López, Jesús|||0000-0001-5141-9977
Tipo de recurso: artículo
Fecha de publicación:2025
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/230147
Acceso en línea:https://riunet.upv.es/handle/10251/230147
Access Level:acceso abierto
Palabra clave:Quasi-pseudometric modular
Aggregation function
Quantale
Lax morphism
Descripción
Sumario:[EN] In recent studies, Bibiloni-Femenias, Miñana, 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 us to shed light between the two different ways of aggregation (quasi-)(pseudo)metric modulars.