Table 8 Friedman test results of competing algorithms on different performance metrics.

From: An improved multi-objective particle swarm optimization algorithm for the design of foundation pit of rail transit upper cover project

Algorithms

rPSP score (rank)

rHV score (rank)

IGDX score (rank)

IGDF score (rank)

Synthesis score (rank)

MOGWO

4.46 (6)

3.08 (2)

4.06 (5)

3.48 (4)

3.77 (4)

MOMVO

3.79 (4)

3.67 (3)

3.88 (4)

3.46 (3)

3.70 (3)

MOSSA

3.69 (3)

4.23 (5)

3.75 (3)

4.42 (5)

4.02 (5)

MOSMA

2.25 (1)

3.79 (4)

2.67 (2)

3.25 (2)

2.99 (2)

MOPSO

4.40 (5)

4.79 (6)

4.38 (6)

5.13 (6)

4.67 (6)

MOIPSO

2.42 (2)

1.44 (1)

2.27 (1)

1.27 (1)

1.85 (1)

  1. Significant values are in bold