Notifications can be set to display for a list of users based on a selection.  The selection will need to filter out all the users that shouldn't see the notification.  To edit the selection, we can follow these steps:

1.  Select Notifications from the Tools menu in the Analysis functional area
2.  Select the notification in question and click edit
3.  For Notification users, edit the selection that is used as a filter to remove the users in question
4.  Click Save