关键词: 形式概念分析（FCA）, 逆向研究, 关联, 协调

Abstract: This paper studies formal concept analysis reversely. In this case, the study will start with a set of implications instead of a formal context or a multi-valued context. Specifically, reverse study firstly obtains a set of implications from related domains, then extracts formal context, the set of intents and concept lattice by transforming the implication set, and verifies or completes the domain knowledge. Also, reverse study can form a multi-valued context by selecting domains-related scales, and verifies or completes the domain knowledge by the multi-valued context. Following this idea, this paper gives a set of implications and obtains a series of formal contexts. The implications may be consistent or associated with the formal contexts. This paper also presents some conditions to identify the relationship between the implications and the formal contexts.

Key words: formal concept analysis (FCA), reverse study, consistent, associated