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

Published: September 16, 2025 | arXiv ID: 2509.13059v1

By: Yuxu Chen , Jing Liu , Lili Shen and more

BigTech Affiliations: Weibo

Potential Business Impact:

Finds simpler ways to understand complex data.

Business Areas:
Semantic Search Internet Services

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

Country of Origin
🇨🇳 China

Page Count
18 pages

Category
Computer Science:
Logic in Computer Science