Math theory that deals with ordered attr-value items?

Question

There is partially ordered sets and lattices. Is there a branch of math that deals with ORDERED Attribute-Value items/objects. F.e. av-items /see that attrs also can be missing i.e. doors&roof/ :

car1:
   wheels : 4
   color  : red
   weight : 1500kg
   doors  : 2

car2:
   wheels : 4
   color  : blue
   weight : 1700kg
   roof   : no

The question is : How would you do ORDERING on av-items! so you can also build lattices!

For sets we have Formal Concept Analysis (FCA). What will be equivalent for AV-sets! if there is such thing.

Answer 1

For wheels, color, weight, doors create a 5-tuple (w,c,v,d,r).
The car attributes form a product of sets A = WxCxVxDxR. 
W is the number of wheels ordered by increasing magintude. 
C is the light frequency of the color ordered by increasing magintude.
V is the weight ordered by increasing magintude.
D is the number of doors ordered by increasing magintude. 
R is roof, either 0 for no or 1 or yes ordered 0 < 1.

A can be given the product order 
(a,b,c,d,e) <= (u,v,w,x,y) when
a <= u, b <= v, c <= w, d <= x, e <= y.