ZAZE is the pairing of Zim and Zay is enemies
Although past loves, and a long while of harboring feelings, Zim finally decided he wanted nothing to do with Zay. He currently hates her almost as Dib, it is unknown why, (possibly because Dib and Zay are in love, and Zim assumes anyone involved with Dib is no good), he frequently calls her by her full name, just to bother her, but he will help her, if he has to.
Zay thinks of Zim as a not-too-close-frienemy. She still enjoys his company, but he can annoy her to a certain extreme before she becomes enraged and angry.