Research Article
The Effects of Using Chaotic Map on Improving the Performance of Multiobjective Evolutionary Algorithms
Table 3
The normalized results of
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| | ZDT1 | ZDT2 | ZDT3 | ZDT4 | ZDT6 | | c | i | m | c | i | m | c | i | m | c | i | m | c | i | m |
| Baker | 0.617 | 0.080 | 0.049 | 0.682 | 0.149 | 0.094 | 0.668 | 0.109 | 0.003 | 0.220 | −0.040 | 0.167 | 0.567 | 0.105 | −0.090 | Cat | −0.060 | 0.076 | 0.101 | 0.013 | 0.084 | 0.024 | −0.007 | 0.090 | 0.174 | 0.191 | 0.109 | 0.158 | −0.028 | 0.022 | −0.096 | Circle | −0.142 | −0.040 | −0.016 | 0.013 | −0.121 | −0.007 | −0.153 | 0.028 | −0.016 | 0.151 | −0.069 | 0.098 | −0.176 | −0.072 | −0.002 | Cubic | −0.544 | 0.064 | −0.025 | −0.626 | −0.041 | 0.006 | −0.334 | −0.049 | 0.077 | 0.032 | −0.781 | 0.071 | −0.288 | 0.040 | 0.008 | Gauss | 0.307 | 0.513 | 0.089 | 0.306 | 0.507 | 0.070 | 0.454 | 0.585 | 0.037 | 0.159 | 0.005 | 0.191 | 0.114 | −0.010 | 0.132 | ICMIC | −0.415 | 0.558 | 0.132 | −0.280 | 0.609 | 0.144 | −0.295 | 0.510 | 0.004 | 0.003 | −0.380 | 0.088 | −0.162 | 0.252 | 0.163 | Logistic | 0.070 | 0.242 | 0.189 | 0.072 | 0.204 | −0.031 | 0.012 | 0.158 | 0.127 | 0.017 | −0.819 | 0.183 | 0.152 | 0.129 | 0.132 | Sinusoidal | 0.077 | 1 | 0.616 | 0.121 | 1 | 0.742 | 0.169 | 1 | 0.734 | −0.091 | −1 | −0.138 | 0.148 | 0.688 | 1 | Tent | 0.655 | 0.177 | 0.062 | 0.704 | 0.103 | −0.005 | 0.731 | 0.043 | −0.088 | 0.190 | −0.008 | −0.058 | 0.569 | 0.124 | −0.003 | Zaslavskii | −0.051 | 0.462 | 0.032 | −0.150 | 0.518 | 0.064 | −0.086 | 0.499 | 0.110 | −0.103 | −0.339 | 0.108 | −0.060 | 0.174 | 0.183 |
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