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Concept lattice expansion and recovery based on reduced formal context

The theories of concept lattice expansion and recovery were presented in this paper. Firstly, a formal context can be reduced from the viewpoint of objects or attributes by inclusion reduction, and its corresponding concept lattice can be constructed. And then, the concept lattice can be expanded dynamically according to the need, thus, the concept lattice of original formal context can be recovered eventually. Finally, the paper shows that the concept lattice of the original formal context and that of the reduced formal context are monomorphic.