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Table 1.

Stages of exploration phase-1.

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Table 1 Expand

Table 2.

Stages of exploration phase-2.

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Table 2 Expand

Table 3.

Stages of the exploitation phase.

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Table 3 Expand

Fig 1.

MO problem definition.

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Fig 1 Expand

Fig 2.

Flow chart of the MOHO.

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Fig 3.

The 10-bar truss structure.

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Fig 3 Expand

Fig 4.

The 25-bar truss structure.

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Fig 4 Expand

Fig 5.

The 60-bar truss structure.

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Fig 6.

The 72-bar truss structure.

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Fig 7.

The 942-bar truss structure.

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Fig 7 Expand

Table 4.

Design configuration of 10-bar problem.

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Table 4 Expand

Table 5.

Design configuration of 25-bar problem.

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Table 5 Expand

Table 6.

Design configuration of 60-bar problem.

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Table 6 Expand

Table 7.

Design configuration of the 72-bar problem.

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Table 7 Expand

Table 8.

Design configuration of 942-bar problem.

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Table 8 Expand

Fig 8.

Schematic view of HV matric.

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Fig 8 Expand

Fig 9.

Schematic view of GD and IGD matric.

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Fig 9 Expand

Fig 10.

Schematic view of SP and ET matric.

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Table 9.

The hypervolume (HV).

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Table 9 Expand

Table 10.

The GD measures of the considered truss structures.

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Table 10 Expand

Table 11.

The IGD measures of the considered truss structures.

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Table 11 Expand

Table 12.

The STE measures for the all-truss problems.

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Table 12 Expand

Fig 11.

The finest Pareto fronts of the 10-bar truss.

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Fig 11 Expand

Fig 12.

The finest Pareto fronts of the 25-bar truss.

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Fig 12 Expand

Fig 13.

The finest Pareto fronts of the 60-bar truss.

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Fig 13 Expand

Fig 14.

The finest Pareto fronts of the 72-bar truss.

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Fig 14 Expand

Fig 15.

The finest Pareto fronts of the 942-bar truss.

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Fig 15 Expand

Fig 16.

The hypervolume through function evaluations of the 10-bar truss.

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Fig 16 Expand

Fig 17.

The hypervolume through function evaluations of the 25-bar truss.

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Fig 17 Expand

Fig 18.

The hypervolume through function evaluations of the 60-bar truss.

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Fig 18 Expand

Fig 19.

The hypervolume through function evaluations of the 72-bar truss.

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Fig 19 Expand

Fig 20.

The hypervolume through function evaluations of the 942-bar truss.

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Fig 20 Expand

Fig 21.

The diversity curve of 10-bar truss problem.

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Fig 21 Expand

Fig 22.

The diversity curve of 25-bar truss problem.

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Fig 22 Expand

Fig 23.

The diversity curve of the 60-bar truss problem.

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Fig 23 Expand

Fig 24.

The diversity curve of the 72-bar truss problem.

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Fig 24 Expand

Fig 25.

The diversity curve of the 942-bar truss problem.

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Fig 25 Expand

Fig 26.

Swarm plots of 10-bar truss.

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Fig 26 Expand

Fig 27.

Swarm plots of 25-bar truss.

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Fig 27 Expand

Fig 28.

Swarm plots of 60-bar truss.

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Fig 28 Expand

Fig 29.

Swarm plots of 72-bar truss.

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Fig 29 Expand

Fig 30.

Swarm plots of 942-bar truss.

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Fig 30 Expand

Fig 31.

Boxplots of 10-bar truss.

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Fig 32.

Boxplots of 25-bar truss.

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Fig 33.

Boxplots of 60-bar truss.

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Fig 34.

Boxplots of 72-bar truss.

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Fig 34 Expand

Fig 35.

Boxplots of 942-bar truss.

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Fig 35 Expand

Table 13.

The average and overall Friedman ranking test of all considered structures.

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Table 13 Expand