The approximate three-way concept lattice (ATWL), a novel model for conflict analysis, is an extension of classical concept lattice in formal concept analysis. However, little effort has been devoted on the connections between the ATWL and other existing three-way concept lattice models, which will be of great help to construct the ATWL efficiently. This paper reveals the connections between the ATWL and the three-way approximate concept lattice (TWAL) of an incomplete formal context from the viewpoints of concept fusion. Furthermore, the construct algorithm for ATWL based on TWAL is presented. The obtained results are finally demonstrated and verified by an example.