You can delete a reusable dimension filter from the Data Synchronizer tab. When you delete a reusable dimension filter, it is deleted from all of the Source Dimension Mapping with which it is associated.
You cannot delete a filter definition if it is associated with source dimensions in Dimension Mapping. If you try to do this, you receive the error: "Unable to delete the definition. It is referenced by one of the Data synchronization definitions." Before deleting any filter definition, you must remove its reference from other data sync definitions where it is used. If there is no reference, it deletes successfully.