Other Optimality Concepts

Abstract

Pareto optimality and its variants are by far the most important concepts in multicriteria optimization. Their extensive coverage in Chapters 2 to 5 reflects this fact. But as we have seen in Chapter 1 with the discussion of orders and the classification of multicriteria problems, this is not the end of the story. Other choices of orders and model maps give rise to different classes of multicriteria optimization problems. In this chapter we shall discuss some of those. These are lexicographic optimization, max-ordering optimization, and finally a combination of the latter two, lexicographic max-ordering, a class of problems with many interesting features.