An q-Rung Orthopair Trapezoidal Fuzzy Number Decision-Making Method for Online Learning Engagement Assessment

Abstract

Student engagement in online learning is very important for assessing learning effectiveness. However, the process of learners' engagement, including its rise, stability, and decline, is complex and uncertain. Therefore, the student's online learning engagement assessment method is developed based on q-Rung Orthogonal Trapezoidal Fuzzy Numbers (q-ROFTrNs) in this paper. First, an q-rung orthogonal trapezoidal fuzzy Yager operator is designed. Second, a derived feature weight method is developed based on the Criteria Importance Through Intercriteria Correlation (CRITIC) under the q-ROFTrNs environment, which not only overcomes the shortcomings of specified weights but also has objectivity. Third, an integrated q-Rung Orthogonal Trapezoidal Fuzzy Number Decision-Making (q-ROFTrNDM) method is explored. This method combines fuzzy distance, Yager operator, CRITIC method, and score function to achieve a comprehensive and dynamic assessment of students' engagement. The assessment results of the q-ROFTrNDM method indicate that students' online learning engagement aligns with expert assessment outcomes. Parameter sensitivity analysis reveals that the proposed q-ROFTrNDM method does not alter the assessment results of the most engaged students. Comparative analysis demonstrates that q-ROFTrNDM achieves a higher engagement score than 0.929, outperforming competing methods. Additionally, the q-ROFTrNDM method boasts a computation time of less than 10 ms. Therefore, the implementation outcomes confirm the feasibility and effectiveness of q-ROFTrNDM.