In traditional database management systems, imprecision has not been taken into account so one can say that there is some sort of lack of flexibility. The main cause is that queries retrieve only elements which precisely match to the given Boolean query. Many works were proposed in this context. The majority of these works are based on Fuzzy logic. In this paper, we discuss the flexibility in databases by referring to the Formal Concept Analysis theory. We propose an environment based on this theory which permits the flexible modelling and querying of a database with powerful retrieval capability. The architecture of this environment reuses the existing structure of a traditional database and adds new components (Metaknowledge Base, Context Base, Concept Base, etc.) while guaranteeing interoperability between them.