Karrueche Tran -- Chris Brown's Ex Furious Over Rihanna-Loving Video Rant

Chris Brown's recently axed ex-girlfriend has 3 words for him -- shut your mouth ... because she is PISSED C.B. made that highly-produced drunken video confession about loving two chicks.

Sources close to Karrueche Tran tell TMZ ... she's livid over the fact that Brown blasted their personal problems all over the internet with his ridiculous video -- in which he confesses to loving Rihanna and Karrueche at the same time.

If Chris thought the video would soften the blow of breaking up with Karrueche ... he was dead wrong. We're told KT feels Brown should have kept his feelings private and she's disappointed and hurt by his decision to broadcast their personal life.

As TMZ previously reported ... Brown announced his split from Karrueche earlier this week by stating, "I love Karrueche very much but I don't want to see her hurt over my friendship with Rihanna."

He later posted this video, claiming he has feelings for both ...