Kybernetika

Based on results of generalized additions and generalized multiplications, proven in Part~I, we first show a structure theorem on two generalized additions which do not coincide. Then we prove structure and representation theorems for generalized multiplications which are connected by a strong and weak distributivity law, respectively. Finally -- as a last preparation for the introduction of a framework for a fuzzy integral -- we introduce generalized differences with respect to t-conorms (which are not necessarily Archimedean) and prove their essential properties.