Disgust rules in a tyrannical way, only letting the other emotions get a word in when their wants pass her quality control.
Fear works as a mediator towards Disgust, considering every opportunity of a certain moment and laying out the options to Disgust.
After those two butt heads for a while Joy shows up and decides its time to be happy and do fun things.
Sadness kind of sits in the back, but at any point when she wants to make herself known all she has to do is say a few words to Fear & Disgust and her job is done.
Anger chills out by himself acting as a special task force for Disgust, she calls him only when he is needed, which isn't usually that much.