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. 2025 Sep 29;15:33704. doi: 10.1038/s41598-025-18977-w

Table 3.

Regulation strategy effect evaluation index system.

Indicator name Calculation method Weight
coefficient
Evaluation
standard
Optimization
objective
Network eficiency

Average Path

Length Inverse

0.20 [0.6, 1.0] Maximize

Collaboration

Diversity

Shannon Entropy

of Edges

0.18 [0.7, 1.0] Maximize
Resource Utilization

Active Collaboration

Ratio

0.15 [0.8, 1.0] Maximize
Innovation Output

Weighted Publication

Score

0.22 [0.6, 1.0] Maximize
Network Stability

Eigenvalue Stability

Measure

0.12 [0.5, 1.0] Maximize
Cost Effectiveness

Benefit-to-Cost

Ratio

0.08 [1.2, 2.0] Maximize
Sustainability Index

Long-term

Collaboration Rate

0.05 [0.7, 1.0] Maximize