Aggregation functions as lax morphisms of quantales
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917447494270976 |
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| author | Fructuoso-Bonet, Alejandro Rodríguez-López, Jesús |
| author_facet | Fructuoso-Bonet, Alejandro Rodríguez-López, Jesús |
| contents | We will generalize the concept of aggregation function for mathematical structures as a certain function between quantales. In fact, these functions turn to be exactly the lax morphism of quantales. This provides a global framework for the study of aggregation functions. As a consequence of our theory, we are able to deduce several known results about the aggregation of metrics and fuzzy metrics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_26775 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Aggregation functions as lax morphisms of quantales Fructuoso-Bonet, Alejandro Rodríguez-López, Jesús Category Theory 18D20, 18F75, 54E35, 54E70 We will generalize the concept of aggregation function for mathematical structures as a certain function between quantales. In fact, these functions turn to be exactly the lax morphism of quantales. This provides a global framework for the study of aggregation functions. As a consequence of our theory, we are able to deduce several known results about the aggregation of metrics and fuzzy metrics. |
| title | Aggregation functions as lax morphisms of quantales |
| topic | Category Theory 18D20, 18F75, 54E35, 54E70 |
| url | https://arxiv.org/abs/2604.26775 |