IEEE Computational Intelligence Magazine - November 2021 - 49

TABLE II Mean and standard deviation of the approximation values of the solution sets obtained
by the compared algorithms on a single-objective multi-tasking test suite.
MTO
PROBLEM
CIHS
TASK
GRIEWANK
RASTRIGIN
CIMS
ACKLEY
RASTRIGIN
CILS
ACKLEY
SCHWEFEL
PIHS
RASTRIGIN
SPHERE
PIMS
ACKLEY
ROSENBROCK
PILS
ACKLEY
WEIERSTRASS
NIHS
ROSENBROCK
RASTRIGIN
NIMS
GRIEWANK
WEIERSTRAS
NILS
RASTRIGIN
SCHWEFEL
MFEA
3.65E-01+
(6.73E-02)
1.81E+02+
(4.67E+01)
4.47E+00+
(7.16E-01)
2.19E+02+
(5.88E+01)
2.02E+01+
(5.28E-02)
3.69E+03+
(6.11E+02)
5.52E+02+
(9.41E+01)
8.37E+00+
(1.94E+00)
3.65E+00+
(8.93E-01)
6.80E+02+
(3.44E+02)
2.01E+01+
(1.08E-01)
1.99E+01+
(2.34E+00)
8.21E+02+
(2.29E+02)
2.55E+02+
(6.90E+01)
4.08E-01+
(9.99E-02)
2.82E+01+
(2.24E+00)
6.03E+02+
(1.18E+02)
3.68E+03+
(5.80E+02)
MFEA-GS VS. MFEA
MFEA-GSMT VS. MFEA-MT
MFEA-MT VS. MFEA
MFEA-MT VS. MFEA-OBL
MFEA-GSMT VS. MFEA-GS
BETTER
18
8
15
17
7
MFEA-OBL
1.08E-01+
(1.56E-01)
7.96E+01+
(1.02E+02)
1.11E+00+
(1.41E+00)
9.62E+01+
(1.04E+02)
2.03E+01+
(1.00E-01)
4.60E+03+
(5.02E+02)
4.31E+02+
(9.76E+01)
2.02E+01+
(4.71E+00)
3.67E+00+
(4.45E-01)
6.26E+02+
(3.61E+02)
1.92E+01+
(4.52E+00)
2.13E+01+
(5.59E+00)
6.13E+02+
(3.23E+02)
2.19E+02+
(5.73E+01)
6.28E-01+
(7.36E-02)
2.48E+01+
(3.66E+00)
4.07E+02+
(1.19E+02)
4.38E+03+
(5.07E+02)
SIMILAR TO
10
1
1
9
PERFORMANCE
MFEA-GS
0.00E+00 .
(0.00E+00)
0.00E+00 .
(0.00E+00)
3.92E-13+
(1.04E-12)
0.00E+00 .
(0.00E+00)
2.80E-06 .
(6.75E-06)
6.36E-04 .
(1.62E-09)
3.58E+00+
(1.60E+01)
1.29E-02 .
(1.96E-02)
1.02E+00 -
(1.10E-01)
4.16E+01 .
(1.43E+01)
1.37E-06+
(3.86E-06)
1.54E-06+
(6.87E-06)
4.62E+01 .
(4.52E-01)
2.80E-09+
(6.19E-09)
4.18E-04 -
(9.46E-04)
1.50E+00+
(1.11E+00)
5.80E+01+
(5.80E+01)
1.93E+03 .
(1.61E+03)
WORSE
2
2
MFEA-MT
0.00E+00 .
(0.00E+00)
0.00E+00 .
(0.00E+00)
8.88E-16 .
(0.00E+00)
0.00E+00 .
(0.00E+00)
2.02E+01+
(7.59E-02)
3.84E+03+
(6.76E+02)
0.00E+00 .
(2.94E+01)
3.96E+00+
(1.18E+00)
2.66E+00+
(1.33E-01)
4.85E+01+
(1.76E-01)
8.88E-16 .
(0.00E+00)
0.00E+00 .
(0.00E+00)
4.67E+01+
(5.11E-01)
0.00E+00 .
(0.00E+00)
3.21E-01+
(5.71E-02)
0.00E+00 .
(0.00E+00)
9.39E+00 .
(3.15E+01)
4.13E+03+
(4.97E+02)
MFEA-GSMT
0.00E+00
(0.00E+00)
0.00E+00
(0.00E+00)
8.88E-16
(0.00E+00)
0.00E+00
(0.00E+00)
6.91E-06
(2.14E-05)
6.36E-04
(1.54E-09)
0.00E+00
(0.00E+00)
4.14E-03
(6.84E-03)
1.54E+00
(4.19E-01)
4.62E+01
(5.96E-01)
8.88E-16
(0.00E+00)
0.00E+00
(0.00E+00)
4.61E+01
(3.71E-01)
0.00E+00
(0.00E+00)
1.69E-03
(1.94E-03)
0.00E+00
(0.00E+00)
0.00E+00
(0.00E+00)
2.40E+03
(2.24E+03)
NOVEMBER 2021 | IEEE COMPUTATIONAL INTELLIGENCE MAGAZINE 49

IEEE Computational Intelligence Magazine - November 2021

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