Frontman Matt Bellamy explained that the band have written about relationships for the first time since 1999's debut Showbiz.
"We're singing about things like relationships for the first time," he told the New Zealand Herald. "Actually, I did that for a bit on the first album (1999's Showbiz) but then I started doing interviews and thought, 'Oh my God, I can't answer these questions, they're getting too personal'.
"So that's when we started getting all conceptual and pretending the album was about the end of the world, or whatever."
Talking about their new album, Bellamy added that he hoped it would break "new ground" with its overall sound and style.
"Every album we do we try to find new ground and new sounds to play with and new instruments, new styles of songwriting and new styles of production. Because change is what creates momentum in a band and I think we're lucky, all three of us are very open to exploring new avenues."
He continued: "So with this album we just set out on this same old objective that we normally have and just discovered some new things along the way."
Muse recently rejected claims that they plagiarised another artist's work for a song on their 2009 album The Resistance.
Muse will release their new album The 2nd Law in the UK on October 1 and a day later in the US.
Watch the music video for Muse's new single 'Madness' below: