A$AP Rocky: Plays Ref in All-Out Brawl ... at Fashion Week?!! (VIDEOS)

A$AP Rocky tried but failed to break up a fist fight involving his famous stylist Ian Connor.

The slugfest went down in Paris during Fashion Week -- of all things -- and Connor was fuming about something that happened inside fancy clothing store, Colette.

Check out the video ... Connor appears to throw the first punch before Rocky steps in to stop the madness.

Well, he tried ... but the fight eventually spilled into the street.