I have an issue creating an ordered list by preferences. Let's say I have 3 users (
u1, u2, u3) and 10 topics (
t1,...,t10). Each user will submit a list of topics ordered by preferences, for example :
u1 = [t3, t6, t9,...,t1];
u2 = [t7, t3, t8,...,t2];
u3 = [t1, t2, t7,...,t9].
Note that it's not mandatory for each user to submit a list containing all the 10 topics, for instance
u2 may submit :
u2 = [t5, t10] and doesn't care about other topics.
The final result I'm looking for should be a single list
u which contains all the 10 topics ordered by preferences given
u1, u2 and u3.
So, what is the best algorithm to handle that task (with a generalization of
N topics and
p users) ?