The Kilmarnock-based band are up for Best British Band and Best Live Band.
Glasgow-based Chvrches are nominated for Best New Band and veterans Primal Scream are in the running for Best Track with 2013.
The T in the Park Festival is up for Best Festival but will have to beat Glastonbury which last year had the Rolling Stones.
Arctic Monkeys have eight nominations with nearest rivals Haim - the all-sister trio - up for six prizes.
Miley Cyrus and Robin Thicke are among the figures nominated for the "villain of the year" title which will be announced at the event at the O2 Academy in Brixton, south London, on February 26.
David Bowie, who made his comeback a year ago following a decade-long silence, is among the nominees for hero of the year, along with his old collaborator Lou Reed, who died last year.