Decomposition of fuzzy relations: An application to fuzzy preferences
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911288724029440 |
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| author | Campión, María Jesús Induráin, Esteban Raventós-Pujol, Armajac |
| author_facet | Campión, María Jesús Induráin, Esteban Raventós-Pujol, Armajac |
| contents | In this article, working in the spirit of the classical Arrovian models in the fuzzy setting and their possible extensions, we go deeper into the study of some type of decompositions defined by t-norms and t-conorms. This allows us to achieve characterizations of existence and uniqueness for such decompositions and we provide rules to obtain them under some specific conditions. We conclude by applying such results to the study of fuzzy preferences, a key concept in Fuzzy Social Choice. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_01165 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Decomposition of fuzzy relations: An application to fuzzy preferences Campión, María Jesús Induráin, Esteban Raventós-Pujol, Armajac General Mathematics In this article, working in the spirit of the classical Arrovian models in the fuzzy setting and their possible extensions, we go deeper into the study of some type of decompositions defined by t-norms and t-conorms. This allows us to achieve characterizations of existence and uniqueness for such decompositions and we provide rules to obtain them under some specific conditions. We conclude by applying such results to the study of fuzzy preferences, a key concept in Fuzzy Social Choice. |
| title | Decomposition of fuzzy relations: An application to fuzzy preferences |
| topic | General Mathematics |
| url | https://arxiv.org/abs/2306.01165 |