Assessment of classroom design for physical education using COCOSO algorithm and modified Sugeno Weber aggregation...

Area of Science:

• Educational Technology
• Decision Science
• Applied Mathematics

Background:

• Physical education and traditional sports are increasingly vital for holistic development, necessitating systematic classroom design.
• Well-designed spaces enhance student participation in curricular and extracurricular activities and support diverse teaching methods.

Purpose of the Study:

• To propose a novel multi-criteria decision-making (MCDM) approach for designing physical education classroom environments.
• To develop new aggregation operators (AOs) based on the Analytical Hierarchy Process (AHP) and q-rung orthopair fuzzy sets (q-ROFS) with Sugeno-Weber t-norms and t-conorms.
• To present an improved combined compromise solution (CCS) methodology for ranking alternatives.

Main Methods:

• Application of the Analytical Hierarchy Process (AHP) for multi-criteria decision-making (MCDM).
• Utilization of the q-rung orthopair fuzzy set (q-ROFS) framework to extend fuzzy set capabilities.
• Development of q-rung orthopair fuzzy Sugeno-Weber weighted averaging (q-ROFSWWA) and geometric (q-ROFSWWG) operators.
• Implementation of an improved combined compromise solution (CCS) methodology for precise ranking.

Main Results:

• The proposed MCDM approach successfully evaluated and ranked alternatives for physical education classroom design.
• The developed q-ROFSWWA and COCOSO algorithms under AHP and q-ROFS information were applied to practical examples.
• The study identified "integration of outdoor spaces" as the optimal design for physical education classrooms among four alternatives.

Conclusions:

• The novel MCDM approach, integrating AHP, q-ROFS, and Sugeno-Weber operators, provides an effective framework for designing physical education environments.
• The developed methodology offers a robust tool for decision-making in complex design scenarios.
• Comparative analysis validated the authenticity and effectiveness of the proposed approach.