In this paper we present BR-Explorer, an FCA-based algorithm that addresses the problem of retrieving the relevant objects for a given query. Initially, a formal context representing the relation between a set of objects and the corresponding set of attributes is given, and the associated concept lattice is built. BR-Explorer starts by generating a formal concept representing the considered query, and classifies this query concept in the concept lattice. Then, BR-Explorer tries to locate the so-called ``pivot'' concept in the concept lattice, for building step by step the query result (considering the pivot superconcepts in the concept lattice). Finally, BR-Explorer returns a set of objects ranked with respect to their relevance w.r.t. the query.