and thus individuals are capable of equally distributing themselves along the different concentrated trade-off regions. For the "AND" operation as illustrated in Figure 17, the whole population evolves towards minimizing all the goals G1, G2 and G3 **simultaneously. As a result, the individuals** 
are equally distributed over the common concentrated trade-off surface formed by the three goals, as desired. 

![0_image_0.png](0_image_0.png)

f

![0_image_1.png](0_image_1.png)

## 4.2 Performance Comparisons Of Moea

This section studies and compares the performance of the proposed MOEA with other multi-objective evolutionary optimization methods based upon a benchmark MO optimization problem. For a comprehensive comparison, various performance measures are used and the comparison results are discussed in the section. 

## 4.2.1 The Test Problem
