So what are the real-world implications of having your name on one of these notices? Can you refuse to be served one?
None, apart from the fact that the police have your name and address and your details may be put down on local intelligence as a punter. They are non-statutory and as such have no legal effect. It's just another scare tactic.
It's a meaningless piece of paper with your name written in it advising you that brothels are a source of nuisance in the community etc etc blah blah.
Despite what people are saying here, it's not a record of anything. It's just a polite advisory notice.
You don't have to accept it but they'll probably just try and scare you more if you don't. I certainly wouldn't sign anything by way of acknowledgement of receipt though.
If they give you a notice, and then find you in a different brothel an hour later, what can they do? It's not a crime to pay for the sexual services of a prostitute or to visit a brothel.