A Triangular Fuzzy Neutrosophic Model for Assessing and  Optimizing Educational Quality in University Badminton  Initiatives: A comprehensive study

Yi Zheng; Jun Chen

Authors

Yi Zheng College of Physical Education and Health, Wenzhou University, Wenzhou, 325035, Zhejiang, China
Jun Chen Wenzhou University of Technology, Wenzhou, 325000, Zhejiang, China

Keywords:

MADM; TFNSs; PROMETHEE II technique; TFNN-PROMETHEE II approach; teaching quality evaluation

Abstract

The evaluation of teaching quality in public badminton classes at general universities
primarily considers students' learning outcomes, teachers' teaching abilities, class organization, and the
appropriateness of the teaching content. Evaluation criteria include students' mastery of skills,
participation, interest development, and teachers' teaching methods, classroom management, and
interaction effectiveness. By combining quantitative and qualitative approaches, the evaluation aims to
assess teaching quality, promote improvements, enhance students' physical fitness and sports skills, and
support teachers' professional development and improvement of teaching standards. The teaching quality
evaluation of public badminton classes at general universities is a multi-attribute decision-making
(MADM). In this paper, a novel technique is introduced that combines triangular fuzzy neutrosophic
numbers and PROMETHEE II (TFNN-PROMETHEE II) to address this issue. The TFNN-
PROMETHEE II method leverages the properties of TFNN- PROMETHEE II and triangular fuzzy
neutrosophic sets (TFNSs) to solve MADM problems effectively. A detailed numerical example is
provided to demonstrate the application of the TFNN-PROMETHEE II technique in evaluating the
teaching quality of public badminton classes at general universities. Additionally, several comparisons
are made to highlight the advantages of this approach. The primary contributions of this paper are
outlined: (1) The TFNN-PROMETHEE II technique is developed within the framework of TFNSs; (2)
sensitivity analysis was conducted to show the stability of the rank of alternatives; (3) The technique is
specifically applied to evaluate the teaching quality of public badminton classes at general universities;
(4) Comparative analysis demonstrates that the TFNN-PROMETHEE II technique is also effective in
assessing the teaching quality of public badminton classes at general universities.