“…FCA and rough set theory are two kinds of complementary mathematical tools for data analysis and data processing ( [26], [27]). Up to now, many efforts have been made to combine these two theories ( [26], [27], [3], [18], [22], [8], [24], [4]), in which the concept lattices based on rough set theory, including the attribute oriented concept lattice [2], lattice for covering rough approximation [14], rough set approach on lattice [12] and distributive lattice [16], rough modular lattice [13], lattice for rough intervals [11] and the object oriented concept lattice ( [26], [27]), are perspective concept lattices for knowledge representation and knowledge discovery. However, the concept lattices usually contain redundant attributes and objects.…”