Novel Dynamic Multi-depth Neutrosophic Coordinate Model for Teaching Performance Analysis in College Electronic Piano Courses with numerical examples and a Mathematical framework

Abstract

This paper introduces a new neutrosophic model designed specifically for evaluating 
student performance in college electronic piano courses. Unlike conventional assessment 
methods, this new model uniquely integrates dynamic neutrosophic analysis, multi-depth 
refined neutrosophic matrices, and neutrosophic musical coordinate systems. The 
proposed model provides a comprehensive and flexible framework for assessing multiple 
performance dimensions simultaneously, such as technical skills, expressive ability, and 
electronic interaction. Detailed mathematical equations, definitions, and fully calculated 
numerical examples are presented to illustrate the effectiveness and practicality of the 
model. Results confirm that this approach effectively manages uncertainties and 
indeterminacies inherent in musical assessment, offering educators precise, adaptable, 
and reliable evaluation methods. 

DOI: 10.5281/zenodo.15926227