Abstract: Object oriented concept lattice and attribute oriented concept lattice are two types of generalized models of classical concept lattice．Firstly,two congruence relations were defined respectively on object power sets of object oriented concept lattice and attribute oriented concept lattice using a pair of dual approximation operators．Secondly,an inner operator and a closure operator were constructed based on two kinds of congruence relations．Then relationship between the inner operator and object oriented concept lattice was studied as well as relationship between the closure ope-rator and attribute oriented concept lattice．Finally,relationships between two object oriented concept lattices were transformed into relationships between the corresponding congruence relations．

Key words: Formal context,Object oriented concept lattice,Attribute oriented concept lattice,Congruence relation,Dependence space