Galois connections and residuation: origins and
                developments II

                                    Bruno Leclerc

        CAMS – École des Hautes Études en Sciences Sociales, Paris, France

Abstract. From the seventies, the uses of Galois connections (and residuated/residual
maps) multiplied in applied fields. Indeed Galois connections have been several times
rediscovered for one or another purpose, for instance in fuzzy set theory or aggregation
problems. In this talk, we illustrate the diversity of such applications. Of course, the
many developments in Galois lattices and Formal Concept Analysis, with their rela-
tion with Data Mining, will be only briefly evoked. Besides these developments, one
finds, among other uses, alternative methods to study a correspondence (binary rela-
tion) between two sets, models of classification and preferences, fitting and aggregation
problems.