We got this fuzzy course in the university, there was a problem which it's result led to multiple overlapping fuzzy values. in order to conclude a value out of that there was different approaches which like Centroid of area and Bisector of area.
these to functions give us approximately the same value. I'm aware that the formula to each function is different,
but logically thinking centroid of area is point which holds two equal weights by it's side. on the other hand bisector of area divides the area into two equal values. Supposing the weight (in COA) as the area (in BOA) we must get the same value, but it isn't so.
So philosophically speaking, what is the reason?