I doubt they're all that complex. It's probably something like a relay for the light, plus an analogue chip to control the dimming, which is likely completely separate from the digital logic (remote, motor control, etc).

I wouldn't expect OP to know anything about circuits though, but I do expect the bare minimum educated guess that a dim light isn't likely a bad fan and is either a bad bulb or a setting somewhere, because a light going dim because on an electrical problem is incredibly unlikely.