A Novel Multiobjective Quantum-Behaved Particle Swarm Optimization Based on the Ring Model

Table 4

Comparison results in terms of IGD between MOQPSOr and other algorithms.

Function	MOQPSOr	OMOPSO	σMOPSO	pdMOPSO	NSGA-II	PESA-II
WFG1	0.576	0.6156 (+)	0.5873 (+)	0.6003 (+)	0.4060 (−)	0.5228 (−)
WFG2	0.007339	0.009023 (+)	0.008287 (+)	0.008894 (+)	0.003544 (−)	0.004050 (−)
WFG3	0.03331	0.03363 (+)	0.03398 (+)	0.03410 (+)	0.03438 (+)	0.03428 (+)
WFG4	0.01994	0.02157 (+)	0.02431 (+)	0.02386 (+)	0.005290 (−)	0.004598 (−)
WFG5	0.02733	0.02739 (+)	0.02741 (+)	0.03082 (+)	0.02766 (+)	0.02749 (+)
WFG6	0.004706	0.005259 (+)	0.01734 (+)	0.009347 (+)	0.03296 (+)	0.03480 (+)
WFG7	0.002606	0.003473 (+)	0.004735 (+)	0.004981 (+)	0.005660 (+)	0.004236 (+)
WFG8	0.03933	0.03736 (−)	0.03989 (+)	0.03756 (−)	0.03725 (−)	0.03649 (−)
WFG9	0.008916	0.009299 (+)	0.009313 (+)	0.009305 (+)	0.009429 (+)	0.008953 (+)
DTLZ2	0.04004	0.04160 (+)	0.04231 (+)	0.04583 (+)	0.07000 (+)	0.07540 (+)
DTLZ4	0.04202	0.04794 (+)	0.04737 (+)	0.05177 (+)	0.06859 (+)	0.06436 (+)
DTLZ7	0.04426	0.04523 (+)	0.04570 (+)	0.05231 (+)	0.05180 (+)	0.07088 (+)
Better (+)		11	12	11	8	8
Worse (−)		1	0	1	4	4
Score		10	12	10	4	4