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

Table 2

Comparison results in terms of between MOQPSOr and other algorithms.

Function	MOQPSOr	OMOPSO	σMOPSO	pdMOPSO	NSGA-II	PESA-II
WFG1	0.6662	0.7697 (+)	0.7058 (+)	0.7247 (+)	0.5662 (−)	0.7149 (+)
WFG2	0.005945	0.01156 (+)	0.05869 (+)	0.08135 (+)	0.006621 (+)	0.004953 (−)
WFG3	0.3327	0.3341 (+)	0.3345 (+)	0.3378 (+)	0.3338 (+)	0.3348 (+)
WFG4	0.02752	0.03035 (+)	0.04921 (+)	0.03004 (+)	0.01162 (−)	0.01002 (−)
WFG5	0.03067	0.03071 (+)	0.03070 (+)	0.05671 (+)	0.03210 (+)	0.03367 (+)
WFG6	0.006673	0.007467 (+)	0.01973 (+)	0.01244 (+)	0.03534 (+)	0.04072 (+)
WFG7	0.005080	0.006404 (+)	0.008138 (+)	0.01039 (+)	0.01455 (+)	0.01318 (+)
WFG8	0.05696	0.05381 (−)	0.05714 (+)	0.05401 (−)	0.05475 (−)	0.06613 (+)
WFG9	0.01266	0.01331 (+)	0.01308 (+)	0.01573 (+)	0.01898 (+)	0.01667 (+)
DTLZ2	0.05071	0.05176 (+)	0.05150 (+)	0.06394 (+)	0.1153 (+)	0.1201 (+)
DTLZ4	0.05191	0.05700 (+)	0.05681 (+)	0.06437 (+)	0.1069 (+)	0.1007 (+)
DTLZ7	0.05656	0.06321 (+)	0.06229 (+)	0.06870 (+)	0.07233 (+)	0.1459 (+)
Better (+)		11	12	11	9	10
Worse (−)		1	0	1	3	2
Score		10	12	10	6	8