Two proposals for circular ordering aggregation

Abstract

In this talk we deal with the problem of obtaining a Circular Order on a set of n items using angular values from p heterogeneous data sets. The problem resembles the classical problem of determining the true order or ranks among n objects using the ranks assigned by p independent judges. Although there exist a huge literature in ranking aggregation for Euclidean data, the problem is unexplored in the circular setting, where the Euclidean methods cannot be directly applied due to the underlying geometry of the circle. We consider two original proposals.