A Plithogenic Upside-Down Neutrosophic Framework for Psychological Assessment: A Case Study on College Vocal Music Majors

Abstract

This study introduces a novel Plithogenic Upside-Down Neutrosophic model 
for analyzing psychological traits in college vocal music majors. Traditional psychological 
evaluations often reveal misalignments between a student’s self-perception and an 
instructor’s assessment. To resolve this gap, we propose a logic-based framework that 
integrates neutrosophic logic, plithogenic contradiction functions, and a reversal operator 
to mathematically model and reconcile these differing perspectives. The model uses 
triadic (T, I, F) representations for five core psychological variables:  self-confidence, 
performance anxiety, emotional expressivity, motivation, and psychological resilience. By 
applying the Upside-Down operator and contradiction functions, we calculate both local 
and global misalignment metrics, including a novel Aggregated Psychological Reversal 
Score (APRS). The case study demonstrates how logical reversals reduce perceptual 
contradictions and enhance diagnostic insight. The results support the model’s potential 
in educational psychology, particularly in fine arts pedagogy, where subjective 
interpretation plays a central role. 

DOI: 10.5281/zenodo.16934467