Methods to construct several kinds of concept lattices

In the theory of the concept lattices, the structure of a concept lattice is the base of data analysis and is very important. Aim to three kinds of concept lattices for a certain formal context, the concept lattice of complementary context, the object-oriented concept lattice and the property-oriented concept lattice, this paper mainly studies their lattice construction methods. The method only uses the classical operators in theory of concept lattices defined by Wille, and avoids the approximation operators “□” and “◇” and also enriches the theory of the structure of the concept lattices.