Abstract: Aiming at the  rules acquisition for attribute-induced three-way property-oriented concept lattices, by defining weak consistency, we solved the problem of rules acquisition in general formal decision contexts and explored its  relationship with property-oriented  rules. Firstly, we  defined the attribute-induced three-way property-oriented weak consistency  and corresponding rules, and gave the relationship between attribute-induced three-way property-oriented weak consistency and property-oriented weak consistency, as well as the inclusion relationship between the two types of attribute rules. Secondly, we  demonstrated through examples that the obtained rules  using this method are more comprehensive and reasonable.

Key words: formal concept analysis, formal decision context, property-oriented concept lattice, three-way concept, rule acquisition