Intuitionistic quadri-partitioned neutrosophic N-soft set to evaluate the emotional resilience of students in a dynamic learning environment

Abstract

 Emotional resilience is a critical determinant of student well-being, particularly in todays high
pressure educational environments. Prolonged academic stress can impair both mental and physical health,
 underscoring the need for precise, adaptive tools to assess psychological resilience. However, existing models,
 such as neutrosophic soft sets (N-SS) and single-valued neutrosophic N-soft sets (SVNSS), struggle to capture
 the complex, overlapping and often contradictory emotional states exhibited by students. These models rely
 on triadic classi cations and lack the granularity needed to re ect multidimensional psychological realities. To
 address this gap, we introduce the intuitionistic quadri-partitioned neutrosophic N-soft set (IQPNNSS) model, a
 novel framework that extends the expressive capacity of neutrosophic logic through a four-phase psychological as
sessment methodology: Identi cation of core components (student pro les, psychosocial parameters, emotional
 indicators). Structured data collection, where responses are encoded using quadri-partitioned neutrosophic
 values across longitudinal counselling sessions. Model construction, where the IQPNNSS analyses individual
 resilience pro les. Benchmark evaluation, comparing pro les against psychological standards to identify the
 risk of the students. By incorporating quadri-partitioning representing acceptance, rejection, hesitation, and
 neutrality the IQPNNSS model provides a more nuanced, exible, and accurate approach to emotional resilience
 assessment. This study not only demonstrates the practical utility of advanced neutrosophic structures in psy
chological contexts but also o ers a theoretically grounded, empirically validated framework for counsellors and
 educators supporting student well-being.

DOI: 10.5281/zenodo.15749827