Interval Valued Fermatean Neutrosophic for Analysis Risk Management of Practical Teaching Quality in University Art and Design Programs

The quality of practical teaching in university art and design programs is a crucial determinant of students’ creative and professional development. However, various risks challenge the effectiveness of these programs, ranging from outdated curricula to inadequate resources and inconsistent evaluation methods. This paper explores a comprehensive risk management framework to enhance the quality of practical teaching in art and design education. It examines key factors such as faculty expertise, infrastructure, student engagement, and industry collaboration. Through a structured risk analysis, universities can develop proactive strategies to mitigate challenges, ensuring that students receive high-quality, relevant, and practical training. The study uses multi-criteria decision-making (MCDM) methodology with two methods. One method named Entropy method to compute the criteria weights, and another method named MAIRCA to rank the alternatives. These methods are used under the interval valued Fermatean neutrosophic sets to overcome uncertainty and vague information. An application is shown to show the validation of the proposed approach.