Variable Ordering Structures in Vector Optimization

This book provides an introduction to vector optimization with variable ordering structures, i.e., to optimization problems with a vector—valued objective function where the elements in the objective space are compared based on a variable ordering structure: instead of a partial ordering defined by a convex cone, we see a whole family of convex cones, one attached to each element of the objective space. The book starts by presenting several applications that have recently sparked new intere...