Research Article
Chaotic Fruit Fly Algorithm for Solving Engineering Design Problems
Table 5
The results of Wilcoxon′s signed-rank test for the 25 CEC′2005 benchmark functions.
| Test Statistics | Ranks | | N | Mean Rank | Sum of Ranks |
| SaDE – CFFA | R− | 3a | 7.00 | 21.00 | a. SaDE < CFFA | Z | −3.807ab | R+ | 22b | 13.82 | 304.00 | b. SaDE > CFFA | Asymp. Sig. (2-Tailed) | 0.000 | Ties | 0c | | | c. SaDE = CFFA | ab. Based on negative ranks. | | Total | 25 | | | | DE-Exp - CFFA | | R− | 7d | 10.29 | 72.00 | d. DE-Exp < CFFA | Z | −2.435ab | R+ | 18e | 14.06 | 253.00 | e. DE-Exp > CFFA | Asymp. Sig. (2-Tailed) | 0.015 | Ties | 0f | | | f. DE-Exp = CFFA | ab. Based on negative ranks. | | Total | 25 | | | | DE-Bin - CFFA | | R− | 4g | 7.00 | 28.00 | g. DE-Bin < CFFA | Z | −3.619ab | R+ | 21h | 14.14 | | h. DE-Bin > CFFA | Asymp. Sig. (2-Tailed) | 0.000 | Ties | 0i | | | i. DE-Bin = CFFA | ab. Based on negative ranks. | | Total | 25 | | | | SS-Arit - CFFA | | R− | 3j | 6.00 | 18.00 | j. SS-Arit < CFFA | Z | −3.888ab | R+ | 22k | 13.95 | 307.00 | k. SS-Arit > CFFA | Asymp. Sig. (2-Tailed) | 0.000 | Ties | 0l | | | l. SS-Arit = CFFA | ab. Based on negative ranks. | | Total | 25 | | | | SS-BLX - CFFA | | R− | 2m | 6.00 | 12.00 | m. SS-BLX < CFFA | Z | −4.049ab | R+ | 23n | 13.61 | 313.00 | n. SS-BLX > CFFA | Asymp. Sig. (2-Tailed) | 0.000 | Ties | 00 | | | o. SS-BLX = CFFA | ab. Based on negative ranks. | | Total | 25 | | | | SSGA - CFFA | | R− | 1p | 6.00 | 6.00 | p. SSGA < CFFA | Z | −4.211ab | R+ | 24q | 13.29 | 319.00 | q. SSGA > CFFA | Asymp. Sig. (2-Tailed) | 0.000 | Ties | 0r | | | r. SSGA = CFFA | ab. Based on negative ranks. | | Total | 25 | | | | CHC - CFFA | | R− | 3s | 3.67 | 11.00 | s. CHC < CFFA | Z | −4.076ab | R+ | 22t | 14.27 | 314.00 | t. CHC > CFFA | Asymp. Sig. (2-Tailed) | 0.000 | Ties | 0u | | | u. CHC = CFFA | ab. Based on negative ranks. | | Total | 25 | | | | IPOP-CMA-ES - CFFA | | R− | 4v | 4.25 | 17.00 | v. IPOP-CMA-ES < CFFA | Z | −3.680ab | R+ | 19w | 13.63 | 259.00 | w. IPOP-CMA-ES > CFFA | Asymp. Sig. (2-Tailed) | 0.000 | Ties | 2x | | | x. IPOP-CMA-ES = CFFA | ab. Based on negative ranks. | | Total | 25 | | | | PSO - CFFA | | R− | 0y | 0.00 | 0.00 | y. PSO < CFFA | Z | −4.372ab | R+ | 25z | 13.00 | 325.00 | z. PSO > CFFA | Asymp. Sig. (2-Tailed) | 0.000 | Ties | 0aa | | | aa. PSO = CFFA | ab. Based on negative ranks. | | Total | 25 | | | |
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