This paper presents an iterative and interactive information retrieval system to search on the web using formal concept analysis (FCA). FCA provides a natural way to organise objects according to their properties and it has been used in recent works to organise answers provided by a search engine according a concept lattice. The navigation into the lattice helps the user to explore a structured and synthetic result. Such a lattice contains concepts that are relevant and some others that are not relevant for a given information retrieval task. We introduce lattices into an interactive and iterative system. The user expresses his negative or positive agreement with some concept of the lattice.These user choices modify the object set and the properties used as input of the classification process. The lattice evolves during the process in order to better fit user need. MOTS-CL