我的男人你别碰我的女人你别碰
[wŏ de nán rén nĭ bié pèng wŏ de nǚ rén nĭ bié pèng]
These nicknames express the idea of guarding and claiming ownership of someone in a relationship, similar to phrases like 'Hands off my man/girl!' in English. They convey protectiveness.