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<p>The uneven spatial and temporal distribution of water resources, coupled with an unreasonable proportion of industrial water allocation, has imposed significant pressure on the economic development and ecological security of the Minnan region. This study proposed an interval type-2 fuzzy multi-objective stochastic interval programming (IT2-FMSIP) model to allocate water resources more reasonably in Minnan and promote sustainable economic development. This model addresses the uncertainties within the water resource system to achieve more accurate solutions and mitigates the issue of local food security. The minimum grain yield increased by 28,359,631<InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\:\times\:{10}^{4}\)</EquationSource> </InlineEquation> tons, resulting in a reduction in carbon dioxide emissions by 9283<InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\:\times\:{10}^{4}\:\text{t}\text{o}\text{n}\text{s}\)</EquationSource> </InlineEquation>. The IT2-FMSIP model offers an optimal water distribution strategy considering diverse probability distributions, which effectively mitigates the imbalance between water resource supply and demand while capturing the structural shifts among industries through the membership function factor λ. The main findings of the model are as follows. (i) Prioritizing industrial productivity development in Zhangzhou City and adjusting the water usage structure would have the most significant impact on boosting Minnan’s economy. (ii) Xiamen is better suited for cultivating high value-added crops, whereas Quanzhou’s industries are highly sensitive to fluctuations in water resources. (iii) The outcomes produced by the new model are more precise, allowing for the safeguarding of weaker industries and preventing the excessive encroachment of dominant industries in the foundational sectors. Furthermore, upon comparison with both the fuzzy multi-objective stochastic interval programming (FMSIP) model and the interval type-2 fuzzy stochastic interval programming (IT2-FSIP) model, this approach has demonstrated the potential to enhance agricultural yields in Minnan by approximately 1.6% annually, along with a reduction in carbon emissions ranging from 0.4% to 0.66% per year.</p>

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Development of a multi-objective type-2 fuzzy interval stochastic programming model for water allocation in Minnan region integrating agricultural products and greenhouse gas emission under uncertainty

  • 期刊论文

  • 发表日期：

    2026年2月3日

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  • Yi Wei,
  • Lei Jin,
  • HaiYan Fu,
  • Yurui Fan,
  • RuoLin Bai

摘要

The uneven spatial and temporal distribution of water resources, coupled with an unreasonable proportion of industrial water allocation, has imposed significant pressure on the economic development and ecological security of the Minnan region. This study proposed an interval type-2 fuzzy multi-objective stochastic interval programming (IT2-FMSIP) model to allocate water resources more reasonably in Minnan and promote sustainable economic development. This model addresses the uncertainties within the water resource system to achieve more accurate solutions and mitigates the issue of local food security. The minimum grain yield increased by 28,359,631 \(\:\times\:{10}^{4}\) tons, resulting in a reduction in carbon dioxide emissions by 9283 \(\:\times\:{10}^{4}\:\text{t}\text{o}\text{n}\text{s}\) . The IT2-FMSIP model offers an optimal water distribution strategy considering diverse probability distributions, which effectively mitigates the imbalance between water resource supply and demand while capturing the structural shifts among industries through the membership function factor λ. The main findings of the model are as follows. (i) Prioritizing industrial productivity development in Zhangzhou City and adjusting the water usage structure would have the most significant impact on boosting Minnan’s economy. (ii) Xiamen is better suited for cultivating high value-added crops, whereas Quanzhou’s industries are highly sensitive to fluctuations in water resources. (iii) The outcomes produced by the new model are more precise, allowing for the safeguarding of weaker industries and preventing the excessive encroachment of dominant industries in the foundational sectors. Furthermore, upon comparison with both the fuzzy multi-objective stochastic interval programming (FMSIP) model and the interval type-2 fuzzy stochastic interval programming (IT2-FSIP) model, this approach has demonstrated the potential to enhance agricultural yields in Minnan by approximately 1.6% annually, along with a reduction in carbon emissions ranging from 0.4% to 0.66% per year.