Design Theory and Methods using CAD/CAE

5.2. Basic Concept

The scalar concept of “optimality” of single-objective optimization problems does not apply directly in the multiobjective setting. To understand the concept and solution techniques, the notion of Pareto optimality has to be introduced. In this section, we start by introducing the criterion space by revisiting the simple MOO example of Example 5.1. We then introduce basic terminologies to facilitate our later discussion. With the basic concept discussed, we revisit the pyramid example to reinforce the concept.

5.2.1. Criterion Space and Design Space

In Example 5.1, we depicted the design space of the MOO problem. We defined its feasible set S, plotted the objective function contours, and identified its Pareto optimal set S_p in ...