Yup, claiming that he invented hamburgers is a pretty rational thing. Their country is powered by brainwashing, btw.
There is no reference to him claiming so, and here is the article from where that information came with the correct wording
http://www.dailymail.co.uk/femail/article-2611998/Bizarre-lifestyle-North-Korean-women-convinced-burgers-local-treat-Lady-Gaga-MAN.htmlI think what happened there is that as usual with every propaganda and telling half truths,one of his ministries or whatever it is probably introduced hamburger shops in recent year, and since anything is related to glorious leader, hamburgers weren't safe from it
Like I said before, his action are logical from a political stand point he is spreading propaganda to stay and keep his regime in control, like we do in the west to be honest, only here it happens on a much more sophiticated way thanks or because of globalisation and easy access to information