Figure 1.
Figure 2.
Figure 2.
Figure 3.
Figure 4.
Figure 5.
Crucial decision rules by replacing random seed (random_state=32)_
| Network type | Conditional factor | Criteria | Decision factor | |||||
|---|---|---|---|---|---|---|---|---|
| CB | CI | CC | CL | BC | Support | Confidence | PE | |
| Dyadic network | - | <=25.5 | - | - | - | 62.86% | 0.66 | High |
| - | >25.5 | - | - | - | 4.29% | 1.00 | Low | |
| Star network | - | - | <=0.002 | <=0.367 | 45.39% | 0.70 | High | |
| - | - | - | >0.367 | - | 7.23% | 0.80 | Low | |
| Ringlike network | - | <=2.583 | - | <=0.367 | - | 4.21% | 0.65 | Low |
| - | (2.583,14] | - | <=0.367 | - | 8.74% | 0.77 | High | |
| - | >14 | - | <=0.367 | - | 3.88% | 1.00 | Low | |
| - | - | - | >0.367 | - | 69.57% | 0.89 | Low | |
| Complex network | - | - | - | <=0.339 | - | 38.54% | 0.69 | High |
| - | >2.44 | - | >0.339 | - | 8.52% | 0.68 | Low | |
| >2.50 | <=2.44 | - | >0.339 | - | 20.53% | 0.97 | Low | |
Descriptive statistics and correlation analysis results_
| Mean | Sth | Median | MIN | MAX | PE | CB | CI | BC | CC | CL | |
|---|---|---|---|---|---|---|---|---|---|---|---|
| PE | 2.462 | 0.758 | 2.436 | 0.917 | 4.472 | 1.000 | |||||
| CB | 2.715 | 3.190 | 2.000 | 1.000 | 20.000 | -0.272*** | 1.000 | ||||
| CI | 6.784 | 15.000 | 2.000 | 0.285 | 104.28 | -0.067*** | 0.115*** | 1.000 | |||
| BC | 0.0004 | 0.002 | 0.000 | 0.000 | 0.011 | 0.053* | 0.586*** | 0.045* | 1.000 | ||
| CC | 0.035 | 0.036 | 0.012 | 0.000 | 0.100 | -0.067** | 0.270*** | 0.002 | 0.340*** | 1.000 | |
| CL | 0.328 | 0.438 | 0.000 | 0.000 | 1.000 | -0.547*** | 0.205*** | -0.077*** | -0.101*** | 0.172*** | 1.000 |
Crucial decision rules by using C4_5 model_
| Network type | Conditional factor | Criteria | Decision facor | |||||
|---|---|---|---|---|---|---|---|---|
| CB | CI | CC | CL | BC | Support | Confidence | PE | |
| Dyadic network | - | <=23.5 | - | - | - | 60.16% | 0.70 | High |
| - | >23.5 | - | - | - | 5.29% | 0.98 | Low | |
| Star network | - | <=0.002 | <=0.371 | 40.05% | 0.77 | High | ||
| - | - | - | >0.371 | - | 8.33% | 0.81 | Low | |
| Ringlike network | - | <=2.580 | - | <=0.371 | - | 4.55% | 0.69 | Low |
| - | (2.580,13.65] | - | <=0.371 | - | 6.04% | 0.75 | High | |
| - | >13.65 | - | <=0.371 | - | 3.88% | 0.98 | Low | |
| - | - | - | >0.371 | - | 68.85% | 0.85 | Low | |
| Complex network | - | - | - | <=0.343 | - | 35.25% | 0.68 | High |
| - | >2.45 | - | >0.343 | - | 7.55% | 0.71 | Low | |
| >2.50 | <=2.45 | - | >0.343 | - | 18.29% | 0.94 | Low | |
Crucial decision rules by using ID3 model_
| Network type | Conditional factor | Criteria | Decision factor | |||||
|---|---|---|---|---|---|---|---|---|
| CB | CI | CC | CL | BC | Support | Confidence | PE | |
| Dyadic network | - | <=25.5 | - | - | - | 62.86% | 0.66 | High |
| - | >25.5 | - | - | - | 4.29% | 1.00 | Low | |
| Star network | - | <=0.001 | <=0.371 | 48.05% | 0.72 | High | ||
| - | - | - | >0.371 | - | 7.03% | 0.85 | Low | |
| Ringlike network | - | <=2.59 | - | <=0.371 | - | 4.02% | 0.66 | Low |
| - | (2.59,13.65] | - | <=0.371 | - | 9.12% | 0.72 | High | |
| - | >13.65 | - | <=0.371 | - | 3.59% | 1.00 | Low | |
| - | - | - | >0.371 | - | 60.35% | 0.90 | Low | |
| Complex network | - | - | - | <=0.339 | - | 44.37% | 0.68 | High |
| - | >2.45 | - | >0.339 | - | 7.34% | 0.72 | Low | |
| >2.50 | <=2.45 | - | >0.339 | - | 17.22% | 0.95 | Low | |
Basic network indicators of heterogeneous alliance network embedding types_
| Type | Communities | Nodes | Average cluster coefficient | Average path length | Density | Average degree | Maximum diameter |
|---|---|---|---|---|---|---|---|
| Dyadic network | 140 | 280 | 0.000 | 1.000 | 0.004 | 0.500 | 1.000 |
| Star network | 120 | 553 | 0.238 | 1.784 | 0.003 | 0.855 | 5.000 |
| Ringlike network | 60 | 309 | 0.875 | 1.560 | 0.011 | 1.618 | 3.000 |
| Complex network | 16 | 1,017 | 0.636 | 6.116 | 0.004 | 1.986 | 15.000 |
Crucial decision rules for various alliance network types_
| Network type | Conditional factor | Criteria | Decision factor | |||||
|---|---|---|---|---|---|---|---|---|
| CB | CI | CC | CL | BC | Support | Confidence | PE | |
| Dyadic network | - | <=25.5 | - | - | - | 62.86% | 0.66 | High |
| - | >25.5 | - | - | - | 4.29% | 1.00 | Low | |
| Star network | - | - | <=0.002 | <=0.367 | 45.39% | 0.70 | High | |
| - | - | - | >0.367 | - | 7.23% | 0.80 | Low | |
| Ringlike network | - | <=2.583 | - | <=0.367 | - | 4.21% | 0.65 | Low |
| - | (2.583,14] | - | <=0.367 | - | 8.74% | 0.77 | High | |
| - | >14 | - | <=0.367 | - | 3.88% | 1.00 | Low | |
| - | - | - | >0.367 | - | 69.57% | 0.89 | Low | |
| Complex network | - | - | - | <=0.339 | - | 38.54% | 0.69 | High |
| - | >2.45 | - | >0.339 | - | 8.85% | 0.67 | Low | |
| >2.50 | <=2.45 | - | >0.339 | - | 20.16% | 0.97 | Low | |