Plithogenic Sets-Based Academic Quality Appraisal Under Uncertainty in Vocational College Art Courses

Abstract

This paper presents a rigorous application of plithogenic sets, as introduced by 
Smarandache (2018), to evaluate teaching quality in vocational college art courses. 
Plithogenic sets generalize crisp, fuzzy, intuitionistic fuzzy, and neutrosophic sets by 
characterizing elements with multiple attributes, each associated with appurtenance and 
contradiction degrees. We develop a tailored plithogenic set model for art education, 
incorporating attributes such as instructional clarity, student engagement, creative 
facilitation, and assessment fairness. The model employs plithogenic aggregation 
operators, inclusion relations, and refined sets to achieve precise evaluations. Through 
detailed numerical examples, verified equations, and multiple tables, we demonstrate the 
frameworks effectiveness. The paper integrates accurate references and addresses 
practical implications for vocational education. 

DOI: 10.5281/zenodo.15485571