Neutrosophic Aesthetic Attainment Index with αm-Continuity and NGSR-Closed Classification for Robust Assessment in Dance Aesthetic Education Classes

This research proposes a novel assessment framework tailored for Dance Aesthetic Education Classes, integrating the Neutrosophic Aesthetic Assessment Index (NAAI) with αm-continuity smoothing and NGSR-closed classification. The method unites quantitative precision with the qualitative depth required for artistic evaluation, enabling consistent, transparent, and fair grading across diverse student performances. Formal definitions, mathematical proofs, and fully solved numerical examples ensure both theoretical rigor and practical reliability. Cohort analysis, supported by clearly structured tables, illustrates the framework’s ability to capture technical mastery and artistic expression while minimizing grading volatility and boundary disputes. This approach offers educators a scalable, computationally efficient tool to enhance instructional feedback and foster both skill development and creative growth among students.