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...
| Autores: | , |
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| Tipo de documento: | artigo |
| Data de publicação: | 2025 |
| País: | España |
| Recursos: | Universitat Politècnica de València (UPV) |
| Repositório: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglês |
| OAI Identifier: | oai:riunet.upv.es:10251/230147 |
| Acesso em linha: | https://riunet.upv.es/handle/10251/230147 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Quasi-pseudometric modular Aggregation function Quantale Lax morphism |
| Resumo: | [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. |
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