English

Reducts of fuzzy contexts: Formal concept analysis vs. rough set theory

Logic in Computer Science 2026-01-21 v2

Abstract

We postulate the intuitive idea of reducts of fuzzy contexts based on formal concept analysis and rough set theory. For a complete residuated lattice LL, it is shown that reducts of LL-contexts in formal concept analysis are interdefinable with reducts of LL-contexts in rough set theory via negation if, and only if, LL satisfies the law of double negation.

Keywords

Cite

@article{arxiv.2509.13059,
  title  = {Reducts of fuzzy contexts: Formal concept analysis vs. rough set theory},
  author = {Yuxu Chen and Jing Liu and Lili Shen and Xiaoye Tang},
  journal= {arXiv preprint arXiv:2509.13059},
  year   = {2026}
}

Comments

23 pages, revised version