Is kissing women three times after greeting a Sunnah or an innovation?

The Sunnah is for a Muslim to shake hands with his brother upon meeting him. Kissing is forbidden, based on the hadith narrated by Al-Tirmidhi from Anas ibn Malik: "O Messenger of Allah, a man among us meets his brother or friend, should he bow to him? He said: No. He said: Should he embrace him and kiss him? He said: No. He said: Should he take his hand and shake it? He said: Yes." Kissing three times after greeting is an innovation for which there is no evidence.