A new concept, fuzzy segments, is introduced which allows for flexible segmentation of discrete curves, so taking into account some noise in them. Relying on an arithmetic approach of discrete straight lines, it generalizes them, admitting that some points are missing. Thus, a larger class of objects is considered. A very efficient detection algorithm for fuzzy segments and its application to curve segmentation are presented. || Un nouveau concept, les segments flous, est introduit. Il permet une segmentation flexible des courbes discrètes, prenant en compte du bruit. Lié à l'approche arithmétique des droites discrètes, il la généralise, admettant que certains points soient manqu