A Plithogenic Neutrosophic Hypersoft Set-Based Framework with Comparative Analysis for Measuring Teaching Practice Effectiveness in University-Level Vocal Music Instruction

Abstract

Evaluating teaching effectiveness in university vocal music programs is essential 
for enhancing pedagogical strategies and student outcomes. This study proposes a novel 
framework based on the Plithogenic Neutrosophic HyperSoft Set (PNHSS) model, which 
leverages multiple attributes with independent neutrosophic degrees of truth, 
indeterminacy, and falsehood [1,2] . The framework assesses attributes such as 
instructional clarity, student engagement, and performance improvement, capturing the 
multifaceted nature of teaching. A detailed case study demonstrates the model's 
application, with rigorous computations and illustrative tables. The PNHSS model is 
compared with the Neutrosophic HyperSoft Set (NHSS) and Fuzzy HyperSoft Set (FHSS) 
models to highlight its superior granularity [2]. A plithogenic normalization function and 
cross-attribute impact matrix are introduced as scientific contributions, enhancing 
evaluation precision. Results validate the model's robustness, offering actionable insights 
for program improvement, positioning it as a significant advancement in music education 
evaluation. 

DOI: 10.5281/zenodo.15467989