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.

翻译：我们基于形式概念分析与粗糙集理论，提出了模糊背景约简的直观概念。对于完备剩余格$L$，研究表明：当且仅当$L$满足双重否定律时，形式概念分析中$L$-背景的约简可通过否定运算与粗糙集理论中$L$-背景的约简相互定义。