[EM] Ranked Rankings

[robert bristow-johnson]

> On 10/13/2021 9:09 PM Forest Simmons <forest.simmons21 at gmail.com> wrote:
> 
> 
> Just as rankings allow you to order preferences without specifying a numerical strength of preference, so ranked preferences allow one to order the preference strengths without quantifying those strengths numerically ... for example the notation
> A>B>>>C>>D>>>>E
> 
> 
> makes clear that the strongest preference shown is D>>>>E and the weakest is A>B, but the notation does not imply that the stronger of these is four times as strong as the weaker.
> 

but it implies that it's stronger than B>>>C which is stronger than C>>D which is stronger than A>B .  Sure, maybe we can assign the strength of A>B as -inf, that of C>>D to be zero, B>>>C to be sqrt(pi) and D>>>>E to be +inf, but that wouldn't be particularly meaningful.  It **is** some quantitative information.  Not just preferential.

--

r b-j . _ . _ . _ . _ rbj at audioimagination.com

"Imagination is more important than knowledge."

.
.
.