Is it zodiac sign and animal zodiac sign are connected?

Is it the zodiac sign and Chinese zodiac sign connected in each other? I mean I'm a Pisces and a Pisces compatible is Cancer and Scorpio and My year is a Snake and a snake compatible with Ox and Rooster. So do I compatible in Cancerian Ox or Scorpion Rooster? Because I'm a Piscean Snake Feb 27 2001