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Table 5:
Statistic IGD metric values of the solutions founded by MOEA/D-AWA, MOEA/D, Adaptive-MOEA/D, and NSGA-II on DTLZ4(3,6) and DTLZ5(3,6) which are many objective problems with low-dimensional PF. The numbers in parentheses present the standard deviation.
InstanceMOEA/D-AWAMOEA/DAdaptive-MOEA/DNSGA-II
DTLZ4(3,6) 0.0379 0.1778 0.0901 1.7974 
 (0.0005) (0.0090) (0.0064) (0.6792) 
DTLZ5(3,6) 0.0382 0.1946 0.0882 2.7806 
 (0.0006) (0.0160) (0.0015) (0.6480) 
InstanceMOEA/D-AWAMOEA/DAdaptive-MOEA/DNSGA-II
DTLZ4(3,6) 0.0379 0.1778 0.0901 1.7974 
 (0.0005) (0.0090) (0.0064) (0.6792) 
DTLZ5(3,6) 0.0382 0.1946 0.0882 2.7806 
 (0.0006) (0.0160) (0.0015) (0.6480) 

Note: The values in bold indicate the best performing algorithm for the particular instance of a test problem.

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