In this paper, we propose a new approach of database summarization. Our proposal consists in building a set of summaries that gives many levels of granularity. The main contribution of our work consists in giving a generic approach, based on description logic language, which operates on both the schema and the database content. The summarization process leads to building a lattice of summaries where each one gives a certain measure of precision. Our proposal offers a generic setting in which current summarization techniques can be considered as particular cases. summaries lattice, granularity.