That said, this seems like just bad policy that leads to the problem. Why should stores allow returns without a receipt or other proof (lookup using credit card)? That seems to be the major issue. If they require proof of purchase, it means they at least aren't refunding theft or products purchased from other stores.
Accepting returns of opened but non-damaged product that can't be resold (eg: missing parts/packaging, obviously used, etc) also seems to be opening themselves up to abuse. Of course, how they handle this has to take into consideration the fact that easy returns are a competitive advantage. This is maybe where the analytics firm can step in, to help identify people that frequently do this.