The original Tinkerbell was a brat, and I loved that about her. It made her seem so real instead of perfect. Her brattiness was a huge part in Peter Pan. Now Disney made her nice and have 3 billion sequels.
It's called the "teddy bear dog." Half shih-tzu and half bichon frise. In Canada we refer to the Shih-Tzu and Bichon Frise cross as Mollydogs instead of teddy bear dogs. I have two of them and they are wonderful.