Asserting similarity based off likes

I need a way to basically check if one person is similar to another, based on what they like.

So if I log onto this website, then just jot down a few things I like, the service will go out and check what other people are similar to you. Now this won't be a 'I like music and so do you" type of search, as it will need to take into the fact that "I like nature and you don't", with different levels of importance.

I've looked through Latent Semantic Analysis as well as Naive Bayes Classification, however these seem to be solutions to calculate possibilities instead of classification.

http://ift.tt/1FcF77P This question seems like the right course I need to take, where likes may be classified into larger categories, however the answer does not seem correct.