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<p>Model selection in data science involves evaluating multiple alternatives across conflicting criteria under uncertainty, where existing fuzzy multi criteria group decision making (MCGDM) approaches often fail to capture asymmetric uncertainty and nonlinear interactions in expert judgments. To address this limitation, this study proposes a novel MCGDM framework based on fractional orthopair fuzzy sets (FOFS). The FOFS structure enables flexible and precise modeling of uncertainty by allowing independent fractional control of membership degree (MD) and non-membership degree (NMD). Furthermore, sine trigonometric aggregation operators are introduced to capture nonlinear relationships and fluctuations in expert evaluations. An integrated FOFS–TOPSIS method is then developed to rank candidate models based on their distances from positive ideal solution (PIS) and negative ideal solution (NIS). The applicability of the framework is demonstrated through a numerical study involving fifteen predictive models, fifteen evaluation criteria, and three experts. The results indicate that Alternative <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\:{{\rm\:A}}_{1}\)</EquationSource> </InlineEquation> achieved the highest overall ranking, followed by <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\:{{\rm\:A}}_{15}\)</EquationSource> </InlineEquation>, while mid and lower ranked models revealed trade-offs in accuracy, computational efficiency, and robustness. Comparative and sensitivity analyses confirm the framework’s robustness, stability, and superior ranking performance.</p>

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A soft computing TOPSIS framework with fractional orthopair fuzzy sine aggregation for robust model evaluation in data science

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年5月14日

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  • Shah Zeb Khan,
  • Yasir Akhtar,
  • Wael Mahmoud Mohammad Salameh,
  • Muhammed I. Syam

摘要

Model selection in data science involves evaluating multiple alternatives across conflicting criteria under uncertainty, where existing fuzzy multi criteria group decision making (MCGDM) approaches often fail to capture asymmetric uncertainty and nonlinear interactions in expert judgments. To address this limitation, this study proposes a novel MCGDM framework based on fractional orthopair fuzzy sets (FOFS). The FOFS structure enables flexible and precise modeling of uncertainty by allowing independent fractional control of membership degree (MD) and non-membership degree (NMD). Furthermore, sine trigonometric aggregation operators are introduced to capture nonlinear relationships and fluctuations in expert evaluations. An integrated FOFS–TOPSIS method is then developed to rank candidate models based on their distances from positive ideal solution (PIS) and negative ideal solution (NIS). The applicability of the framework is demonstrated through a numerical study involving fifteen predictive models, fifteen evaluation criteria, and three experts. The results indicate that Alternative \(\:{{\rm\:A}}_{1}\) achieved the highest overall ranking, followed by \(\:{{\rm\:A}}_{15}\) , while mid and lower ranked models revealed trade-offs in accuracy, computational efficiency, and robustness. Comparative and sensitivity analyses confirm the framework’s robustness, stability, and superior ranking performance.