Rock duo the White Strips are also up for four awards.
Britain's best hope at the event will be Robbie Williams, who's got three nominations - for best male, best pop and best album.
Evanescence, 50 Cent and Sean Paul have also each won a hat-trick of nominations.
The ceremony is taking place on 6 November.
Edinburgh's Leith Ocean Terminal beat off competition from Copenhagen and Belfast to host the spectacular show.