Dear Justin
I think you talk about IFS Apps 10.
 

Presentation Objects by Navigator

First: no rights
Second: Grant Query (read only)
Third: Grant (full)

From the Tech Document about the Presentation Objects by Component:

To see which Presentation Object that uses this Presentation Object just select the Presentation Object and those are shown in the Where Used list to the right. For granted Presentation Objects the checkbox is checked and unchecked if revoked. Fully granted Presentation Objects are displayed in black color and partially granted Presentation Objects are displayed in blue color. Fully granted means that all Database Objects that this Presentation Objects uses are granted and partially granted means that some Database Objects that this Presentation Objects uses are revoked.

Best Regards,
André

Hi,

each permission set has granted projections it could access. For each projection you can see/edit what access is currently set. Go to Solution Manager → Users and Permissions → Permission Sets → Permission Set (or permission sets). There you can see projections and level of access.