English

Continuous Classification Aggregation

Artificial Intelligence 2025-11-04 v7 Systems and Control Theoretical Economics Systems and Control Combinatorics Machine Learning

Abstract

We prove that any optimal, independent, and zero unanimous fuzzy classification aggregation function of a continuum of individual classifications of m3m\ge 3 objects into 2pm2\le p\le m types must be a weighted arithmetic mean. We also provide a characterization for the case when m=p=2m=p=2.

Cite

@article{arxiv.2507.05297,
  title  = {Continuous Classification Aggregation},
  author = {Zijun Meng},
  journal= {arXiv preprint arXiv:2507.05297},
  year   = {2025}
}

Comments

18 pages