Table 11 The IGD + values of each algorithm in practical problem.

From: A many-objective evolutionary algorithm based on three states for solving many-objective optimization problem

IGD + 

VMEF

BiGE-BEW

MOEA/DG

MOEA/D

LSMaODE

MaOEA/IT

MaOEA/IGD

MOEA/TS

Max IGD + 

9.1360e-1

8.8532e-1

8.1354e-1

9.8843e-1

9.9378e-1

2.0763e + 0

2.9547e + 0

7.9342e-1

Min IGD + 

4.6685e-1

4.7369e-1

5.5163e-1

4.9316e-1

5.8059e-1

7.8641e-1

9.9398e-1

4.2631e-1

Average IGD + 

7.5382e-1

7.0326e-1

6.9837e-1

7.9801e-1

8.3714e-1

1.6309e + 0

2.2385e + 0

5.3847e-1

  1. Significant values are in bold.