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The sustainability evaluation using SDG indicators under a geometric integrated threshold score framework
Yin-Yin Huang1, Jingchao Pan2, Tsai-Sung Lin3
1School of Economics and Management, Nanchang Polytechnic University, 308 Provincial Road, Anyi County, Nanchang City, Jiangxi, China.
Scientific Reports
|July 17, 2026
Summary
A new Geometric Integrated Threshold Score (GITS) framework offers a non-compensatory approach to national sustainability assessment. It prevents strong performance in one area from masking weaknesses in others, improving policy clarity.
Area of Science:
- Environmental Science
- Policy Analysis
- Sustainable Development
Background:
- National sustainability evaluation demands comprehensive frameworks integrating diverse indicators.
- Traditional compensatory methods risk masking critical weaknesses with strong performance in other areas, potentially distorting policy interpretation.
Purpose of the Study:
- To introduce the Geometric Integrated Threshold Score (GITS), a novel non-compensatory framework for national sustainability assessment.
- To address limitations of compensatory methods by incorporating threshold-based veto logic for enhanced interpretability and policy relevance.
Main Methods:
- Developed the Geometric Integrated Threshold Score (GITS) framework, combining multiplicative aggregation of geometric distances with threshold-based veto logic.
- Applied GITS and its soft-veto extension (GITS-S) to longitudinal data (2019-2023) for six core SDG indicators across 25 countries.
- Compared GITS/GITS-S performance against benchmark models: Sustainability Composite Score (SCS), ELECTRE III, and Fuzzy ELECTRE III.
Main Results:
- Under strict hard-veto logic, only 7 of 25 countries met all baseline thresholds, with 18 countries receiving nullified scores.
- The GITS-S (soft-veto) extension successfully differentiated rankings among near-compliant countries, resolving the issue of nullified scores.
- GITS demonstrated clear systematic distinctions from both compensatory and outranking approaches in sustainability assessment.
Conclusions:
- GITS provides a unified, interpretable, and threshold-sensitive framework for national sustainability evaluation.
- The non-compensatory nature of GITS enhances policy prioritization by preventing the masking of critical underperformance.
- GITS and its soft-veto extension offer a robust alternative for sustainability planning and policy development.
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