Sounds like the guys in Muse were always keen on world domination and had some good advice on how to do it. Around the time of their first album, Showbiz, in 1999, they figured out a way to acquire worldwide performing rights to their name.
Once they did this, there was no way for anyone anywhere to legally use the word "muse" in any sort of performance that involved music. In 2002, Celine Dion was signed to a big Las Vegas contract and she decided that she wanted to call the production Muse. Uh-huh. Can’t do that. The guys from the band threatened legal action. Dion offered $50,000 to buy the rights.
The band say "No way. The last mistake we want to make is let people think we’re you’re backing band." In the end, Celine Dion backed down and Muse had successfully protected their name.