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<p>This paper deals with the problem of sustainable disposal of radioactive waste in the face of uncertainty, where the expert estimates are imprecise, and the available models do not consider behavioral aspects like regret. To address this drawback, a new hybrid decision-making model that combines Double Hierarchy Linguistic Term Sets (DHLTS), Hyper Pythagorean Fuzzy Sets (HPyFS) and Regret Theory are suggested. DHLTS represents hierarchical linguistic preferences, HPyFS represents uncertainty and the Regret Theory uses post-decision psychological effects. The integration is done based on a systematic aggregation and regret-adjusted scoring system. The model is applicable through a case study that is guided by environmental, cost, safety, technological maturity and sustainability factors. The obtained outcomes enhanced stability, interpretability and robustness than the traditional MCDM methods. The suggested theoretical framework offers an effective and adaptable decision-support system to sustainable implementation in radiation waste disposal problem.</p>

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Post decision regret aware framework for sustainable radiation waste disposal based on double hierarchy linguistic terms and hyper pythagorean fuzzy structure

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年8月4日

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  • Fahad Sameer Alshammari,
  • Majid Khan,
  • Khizar Hayat Khan

摘要

This paper deals with the problem of sustainable disposal of radioactive waste in the face of uncertainty, where the expert estimates are imprecise, and the available models do not consider behavioral aspects like regret. To address this drawback, a new hybrid decision-making model that combines Double Hierarchy Linguistic Term Sets (DHLTS), Hyper Pythagorean Fuzzy Sets (HPyFS) and Regret Theory are suggested. DHLTS represents hierarchical linguistic preferences, HPyFS represents uncertainty and the Regret Theory uses post-decision psychological effects. The integration is done based on a systematic aggregation and regret-adjusted scoring system. The model is applicable through a case study that is guided by environmental, cost, safety, technological maturity and sustainability factors. The obtained outcomes enhanced stability, interpretability and robustness than the traditional MCDM methods. The suggested theoretical framework offers an effective and adaptable decision-support system to sustainable implementation in radiation waste disposal problem.