Radiology Information System. The software that manages the radiology workflow in a clinic.
Schedules radiology studies, exchanges information with the modalities (the radiology devices) so the studies have proper metadata, exchanges information with the PACS (the radiology image storage), it might be used by radiologists and/or transcriptionists to add the reports for the studies...
It might overlap a bit with the HIS (hospital information system) that's the more general hospital management software.