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. 2025 Aug 11;8:1639720. doi: 10.3389/frai.2025.1639720

Table 2.

Function-wise ranks, total rank, and average rank for each optimization algorithm across the 10 selected CEC2019 benchmark functions.

Function/optimizer F1 F2 F3 F4 F5 F6 F7 F8 F9 F10 Total rank Avg. rank
IFOX 1 3 1 2 2 1 1 1 1 5 18 1.8
FDO 3 1 4 1 3 4 4 6 4 1 31 3.1
ANA 6 1 4 3 1 6 3 4 3 1 32 3.2
FOX 1 4 2 5 5 5 2 2 2 6 34 3.4
LEO 4 5 3 4 4 2 5 3 5 3 38 3.8
GOOSE 6 6 4 6 6 3 6 5 6 4 52 5.2

Lower ranks indicate better performance.