Wordpress: Multiple relationships between multiple taxonomies

Is it possible to set in the post a multiple relationships between multiple taxonomies?

For example, I create three taxonomies: aspect_ratio, diameter, width

Now I want to post a new product post(for example post name "GoodYeap Tire ax123") with two combination of these three taxonomies.

{aspect_ratio : "80", diameter : "13", width : "200"}, 
{aspect_ratio : "90", diameter : "14", width : "175"}

Of course I know that I can make one hierarchy taxonomy, but i don't want make many terms repeats.

via Chebli Mohamed