Continuous Classification Aggregation
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866908623786999808 |
|---|---|
| author | Meng, Zijun |
| author_facet | Meng, Zijun |
| contents | We prove that any optimal, independent, and zero unanimous fuzzy classification aggregation function of a continuum of individual classifications of $m\ge 3$ objects into $2\le p\le m$ types must be a weighted arithmetic mean. We also provide a characterization for the case when $m=p=2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_05297 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Continuous Classification Aggregation Meng, Zijun Artificial Intelligence Systems and Control Theoretical Economics Combinatorics Machine Learning We prove that any optimal, independent, and zero unanimous fuzzy classification aggregation function of a continuum of individual classifications of $m\ge 3$ objects into $2\le p\le m$ types must be a weighted arithmetic mean. We also provide a characterization for the case when $m=p=2$. |
| title | Continuous Classification Aggregation |
| topic | Artificial Intelligence Systems and Control Theoretical Economics Combinatorics Machine Learning |
| url | https://arxiv.org/abs/2507.05297 |