English

On formal concepts of random formal contexts

Artificial Intelligence 2021-08-02 v1 Data Structures and Algorithms Combinatorics

Abstract

In formal concept analysis, it is well-known that the number of formal concepts can be exponential in the worst case. To analyze the average case, we introduce a probabilistic model for random formal contexts and prove that the average number of formal concepts has a superpolynomial asymptotic lower bound.

Keywords

Cite

@article{arxiv.2101.11023,
  title  = {On formal concepts of random formal contexts},
  author = {Taro Sakurai},
  journal= {arXiv preprint arXiv:2101.11023},
  year   = {2021}
}

Comments

7 pages, 2 figures, 1 table