# How to learn a “complete order function” from a set of partial order relations?

Input: vector data x_1,...,x_n and a partial ranking function e..g r_p(x_1) > r_p(x_2).

Output: a "complete order function" r_c that projects the data onto 1D (e.g. r_c(x_1)=0.5, r_c(x_2)=0.3)?

Question: what's the standard model/algorithm to use? (e.g. parametric family of functions)