Looks like people here haven't examined MBTI. Your personality may not be fixed but it takes up to 2 years to change it. 16personalities.com is a good way to test your personality as being one of the 16 types. It takes 10 mins.
See http://www.vox.com/2014/7/15/5881947/myers-briggs-personalit...
The article you linked to uses lack of MBTI in psychology journals as an argument against its validity, but its applications in the field are very limited. You're more likely to find MBTI references in neuroscience journals as there are appears to be clear correlations between type preferences and brain activity patterns[1].
Even so, knowledge of a persons cognitive preferences just isn't very useful. So the main application of MBTI is indeed "just for fun".