Research Article

From Determinism and Probability to Chaos: Chaotic Evolution towards Philosophy and Methodology of Chaotic Optimization

Table 4

Mean fitness values of F1–F25 with 30D. The explanations of special marks are as the same as in Table 3.

FunctionDE-bestDE-randCE-logisticCE-tentCE-GaussCE-Hénon-randCE-Hénon-attrac.

F1 97.24339 10626.17 33437.54 44676.41 34997.74 27669.15
F2 1513.336 22808.96 28931.33 38786.76 31553.89 26444.3
F3 3203063 91581615 155259859.97 435879301.22 212799570.04 139163745.08
F4 10475.36 31198.64 43413.27 37707.88 33388.45
F5 3753.477 12014.48 18617.58 27065.35 19258.04 21922.04
F6 10041703 917911267.58 11016735211.66 18010453533.81 6390791853.98 11349392992.19
F7 −165.651 98.12331 1042.799 1718.531 1145.698 996.1877
F8 −119.769 −119.03 118.906
F9 −224.472 −80.3587 −4.98262 17.25496 −15.6137 −20.0503
F10 −157.64 −16.854 170.6209 238.9339 156.3653 133.2562
F11 124.2699 129.963 130.6959
F12 39573.98 945070.8 1120996 1097621
F13 −94.4806 −72.5022 −64.6016 58.4634
F14 −286.7 −286.454 286.369
F15 712.6463 679.5186 907.8008 1046.292 943.7358 899.282
F16 394.5135 445.3347 645.2657 811.5967 633.273 684.447
F17 456.3692 489.36 698.1601 882.8512 725.3444 715.6857
F18 924.3655 976.0293 1029.592
F19 927.3029 973.5324 1026.967
F20 927.4663 971.5176 1014.319
F21 1335.783 1319.538 1665.937 1697.951 1657.629 1657.872
F22 1260.922 1312.237 1552.663 1698.287 1569.841 1559.818
F23 1418.319 1374.563 1667.109 1695.831 1659.605 1662.561
F24 1218.33 1210.63 1618.306 1638.226 1614.015 1621.32
F25 1890.716 1944.179 1951.921