I was just lookning at the difinition of the OWA operator. It is defined as:
$F(a_1, ..., a_n) = \sum_{j=1}^n w_j b_j$ where $b_j$ is the $j$th largest of the $a_i$.
The part that strikes me odd is "$b_j$ is the $j$th largest". I am not mathematician, so I wanted to know if saying that something is "$j$th largest" considered an ok practice? Strikes me as not being very mathematics-like...
Is there an alternative definition, that does not use "English" language?
Just curious!
P.S.: I have no idea what to tag this question with, so I'd appreciate if someone could re-tag it appropriately.