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

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.