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A Multi-Objective Optimization Framework for Low-Carbon Index Construction and Application in Green Finance

Gengrun Liu

Gengrun Liu

School of Economics, Beijing Technology and Business University School of EconomicsBeijing, China
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Liu, Gengrun
  
Mar 17, 2025
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Published Online: Mar 17, 2025
Received: Oct 29, 2024
Accepted: Feb 17, 2025
DOI: https://doi.org/10.2478/amns-2025-0834
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© 2025 Gengrun Liu, published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.

Figure 1.

Data preprocessing workflow from raw input to structured dataset.
Data preprocessing workflow from raw input to structured dataset.

Figure 2.

Flowchart of the hybrid algorithm, combining genetic algorithms and gradient-based refinement.
Flowchart of the hybrid algorithm, combining genetic algorithms and gradient-based refinement.

Figure 3.

Pareto front depicting trade-offs between carbon emissions and financial returns.
Pareto front depicting trade-offs between carbon emissions and financial returns.

Figure 4.

Convergence comparison of optimization algorithms.
Convergence comparison of optimization algorithms.

Figure 5.

Comparison of low-carbon index values under different weight scenarios.
Comparison of low-carbon index values under different weight scenarios.

Computational performance comparison_

Algorithm Runtime Iterations Convergence Speed
Proposed Hybrid Method 45 120 60
Genetic Algorithm (GA) 90 150 90
Gradient-Based Method 70 100 80
Algorithm Runtime Iterations Convergence Speed

Selected Pareto-optimal solutions_

Solution ID Carbon Emissions Financial Return Low-Carbon Index
A 100 12.5 0.85
B 150 14.2 0.80
C 200 15.8 0.75
D 250 17.0 0.70
E 300 18.5 0.65

Computed low-carbon index values across sectors_

Sector Carbon Intensity Renewable Energy Economic Growth Low-Carbon Index
Energy 150 45 3.2 0.78
Technology 120 50 4.0 0.82
Manufacturing 300 20 2.1 0.45
Transportation 250 30 2.5 0.58
Agriculture 180 35 2.8 0.67
Language:
English
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Journal Subjects:
Life Sciences, Life Sciences, other, Mathematics, Applied Mathematics, General Mathematics, Physics, Physics, other
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