Shichon Bichon Frise Shih Tzu = Shichon or Zuchon. The hybrid dog breed Shichon is a mix of a pure bred Shih Tzu and a pure bred Bichon Frise. They have a cute teddy bear appearance and some breeders call them Teddy Bear, Fuzzy Wuzzy, Zuchon or Shi-Bi. Love Your Dog? Visit our website NOW!