Abstract: The information system based on dominance relations is a kind of widely used information systems in real life. The formal context based on dominance relations was discussed. Three kinds of poset, obj ects poset, attributes poset and object attributes poset were established,and the partial order in the posets was discussed. Then, the definition and building method of concept lattice based on dominance relations was proposed. These conclusions further enrich the concept lattice theory, and provide a new way of thinking for rules extraction for the information system based on dominance relations.

Key words: Formal concept analysis, Concept lattice, Dominance relation, Poset