Today I was reading a newspaper and one thing bugged me that was the headline saying ''China finance minister sees more...''. I mean, isn't it going to be "China's finance minister" or either of them is correct? I'm confused.
"China's Finance Minister" is the correct way to write the position; alternatively "Finance Minister of China" can be used, as can "Chinese Finance Minster".
However, it would not be unusual to see something like that in a newspaper headline. Headlines are generally printed in a MUCH bigger font than the other text to grab attention. This means that the amount of characters that can be used is limited: More characters in the same allocated space necessitates a smaller font.
In order to have the largest font possible, the newspaper has committed a grammatical error (omitting the possessive), but an error whose proper form can be deduced.