I just ran across this notation in a lecture slide and unfortunately it was not explained,
$R$ is a relation of membership values in a 2D universe, and $u$ is the membership value.
What is the hat over $y$ meant to indicate?
I know the hat over $R$ means that it is transitive, and the dot over $R$ means that it's max-product transitive, but I am not sure what a hat over a dimension means.
What do the square brackets to the right of $y$ hat mean?
What do the underlines under $R$ mean?
My guess is this means "$\forall y, u_R(x,z) \Leftarrow$ (the left hand side)", but I want to be sure.
I get the feeling that this equation is missing something but unfortunately this is all I've been given and I am having trouble finding more information on Min-Sub Distance Resemblance Relations.
Also, I would appreciate links to your sources (books/web pages/etc.), I would like to get more detailed information on set theory.