New results about aggregation functions of quasi-pseudometric modulars
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913768315813888 |
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| author | Fructuoso-Bonet, Alejandro Rodríguez-López, Jesús |
| author_facet | Fructuoso-Bonet, Alejandro Rodríguez-López, Jesús |
| contents | 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 to shed light between the two different ways of aggregation (quasi-)(pseudo)metric modulars. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2503_23938 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | New results about aggregation functions of quasi-pseudometric modulars Fructuoso-Bonet, Alejandro Rodríguez-López, Jesús General Topology 54E99, 18D20, 18F75, 46A80 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 to shed light between the two different ways of aggregation (quasi-)(pseudo)metric modulars. |
| title | New results about aggregation functions of quasi-pseudometric modulars |
| topic | General Topology 54E99, 18D20, 18F75, 46A80 |
| url | https://arxiv.org/abs/2503.23938 |