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

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 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.

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