Neutrosophic Goodness-of-Fit Framework for Teaching Quality Evaluation in College Music Majors

Abstract

Evaluating teaching quality in higher education requires rigorous and transparent 
statistical methods. In college music majors, assessment is particularly complex, involving 
both technical mastery and creativity. Classical statistical tools cannot fully capture the 
ambiguity and uncertainty inherent in evaluators' judgments. To address this challenge, 
we propose a neutrosophic goodness-of-fit (GoF) framework, extending three cornerstone 
tests - Kolmogorov-Smirnov (KS), Anderson-Darling (AD), and Cramér-von Mises (CvM) - into the neutrosophic domain. 
In this framework, evaluator ratings are represented as neutrosophic triplets (