Abstract: As one of the research focuses in the field of formal concept analysis, three-way concept lattice can make more effective decision analysis. Firstly, the rule extraction based on object-induced three-way concept are investigated and compared compared with those of the classical concept lattice and attribute-induced three-way concept lattice. Then, by merging the object-induced three-way concept lattice and the attribute-induced three-way concept lattice, a new three-way concept lattice, i.e. object-attribute-induced three-way concept lattice, and its rule extraction0 algorithm are proposed. Theoretical analyses and results show that the merging of object-induced three-way concept lattice and attribute-induced three-way concept lattice can improve the quality of rules.