<p>Evaluating the effectiveness of sports training programs requires systematic decision-making approaches that integrate multiple performance dimensions under uncertainty. This study proposes a structured multi-criteria evaluation framework based on the Fuzzy Analytic Hierarchy Process (FAHP) and the Fuzzy Technique for Order Preference by Similarity to Ideal Solution (FTOPSIS) to assess table tennis training programs. The model incorporates five primary evaluation criteria: skill acquisition, physical fitness, cognitive engagement, student satisfaction, and resource utilization, while embedding hydration and health-related considerations within performance and facility-support dimensions. Data were collected from 40 student-athletes participating in structured training programs, and expert judgments from six experienced coaches and physical education specialists were employed to determine criterion weights using FAHP. The derived weights were then applied within the FTOPSIS framework to rank four representative training programs based on their proximity to an ideal performance profile. Results indicate that skill acquisition and physical fitness exert the greatest influence on overall training effectiveness, while resource utilization and health-support conditions, including hydration accessibility, contribute indirectly to sustained performance outcomes. Sensitivity analysis confirms the robustness and stability of the ranking results under variations in criterion weights. FAHP results indicated that Skill Acquisition received the highest weight (0.465), followed by Physical Fitness (0.257), and FTOPSIS ranking identified Program A as the most effective alternative (Si = 0.837), with stable rankings confirmed through sensitivity analysis. The proposed framework offers a transparent and adaptable decision-support model for optimizing sports training systems. By integrating health and hydration considerations into structured performance evaluation, this study contributes to the development of resource-aware, sustainability-aligned training assessment models applicable to broader sports and educational contexts.</p>

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Multi-criteria evaluation of table tennis training programs using FAHP–FTOPSIS with integrated hydration and health considerations

  • Qian Daoming,
  • Laptev Aleksey Ivanovich

摘要

Evaluating the effectiveness of sports training programs requires systematic decision-making approaches that integrate multiple performance dimensions under uncertainty. This study proposes a structured multi-criteria evaluation framework based on the Fuzzy Analytic Hierarchy Process (FAHP) and the Fuzzy Technique for Order Preference by Similarity to Ideal Solution (FTOPSIS) to assess table tennis training programs. The model incorporates five primary evaluation criteria: skill acquisition, physical fitness, cognitive engagement, student satisfaction, and resource utilization, while embedding hydration and health-related considerations within performance and facility-support dimensions. Data were collected from 40 student-athletes participating in structured training programs, and expert judgments from six experienced coaches and physical education specialists were employed to determine criterion weights using FAHP. The derived weights were then applied within the FTOPSIS framework to rank four representative training programs based on their proximity to an ideal performance profile. Results indicate that skill acquisition and physical fitness exert the greatest influence on overall training effectiveness, while resource utilization and health-support conditions, including hydration accessibility, contribute indirectly to sustained performance outcomes. Sensitivity analysis confirms the robustness and stability of the ranking results under variations in criterion weights. FAHP results indicated that Skill Acquisition received the highest weight (0.465), followed by Physical Fitness (0.257), and FTOPSIS ranking identified Program A as the most effective alternative (Si = 0.837), with stable rankings confirmed through sensitivity analysis. The proposed framework offers a transparent and adaptable decision-support model for optimizing sports training systems. By integrating health and hydration considerations into structured performance evaluation, this study contributes to the development of resource-aware, sustainability-aligned training assessment models applicable to broader sports and educational contexts.