In a method for the environment-dependent operation of a hearing system values for a first plurality of environmental data of a first user of the hearing system are determined each time in a training phase for survey times, and the values of the environmental data for each of the survey times are used to form respectively a feature vector in an at least four-dimensional feature space. Each of the feature vectors is mapped respectively onto a corresponding representative vector in a maximum three-dimensional representation space, and a spatial distribution of a subgroup of representative vectors is used to define a first region in the representation space for a first environmental situation of the hearing system. A value of a setting for signal processing of the hearing system is specified for the first environmental situation, and the hearing system is operated with the value set in this way.