> If you're thinking operators your probably doing it wrong in functional programming.

I'm sorry but that simply makes no sense. Yes, many FP languages have custom & customizable operators. They still have built-in operators which are actual operators for real. And there are also FP languages which do not have custom & customizable operators. Erlang is one of the latter.

> My reasoning might be really flawed as I have no idea if erlang/elixr can define functions that look like `operators`

It can not.