Impact Analysis of Sports on the Regulation of College Students' Psychological and Emotional States: A New Neutrosophic Emotional Regulation Sequencing (NERS) Model

Abstract

The regulation of psychological and emotional states among college students 
has become a critical issue in modern higher education. Sports activities are widely 
acknowledged for their capacity to alleviate stress, enhance resilience, and improve 
overall mental health; however, existing studies often fail to capture the complexity and 
uncertainty of emotional responses. This paper introduces a novel mathematical 
framework, the Neutrosophic Emotional Regulation Sequencing (NERS) Model, to 
analyze the impact of sports on the regulation of psychological and emotional states. 
Unlike conventional methods, the NERS model integrates a pentagonal neutrosophic 
structure that quantifies positive emotional influence, negative emotional influence, 
uncertainty, variability, and resilience. A new Psychological-Neutrosophic Weighted 
Aggregation (PNWA) operator is proposed to dynamically merge psychological 
indicators across sports activities, while Neutrosophic Emotional Derivatives (NED) and 
Neutrosophic Emotional Integrals (NEI) are introduced to evaluate both the 
instantaneous and cumulative effects of sports participation on students’ well-being. The 
proposed model is validated with step-by-step numerical examples and structured 
scenarios, demonstrating its effectiveness in generating optimal sequences of sports 
interventions to maximize stability and minimize emotional fluctuations. The study 
provides a pioneering mathematical and psychological lens for understanding the 
regulatory role of sports, offering significant implications for educational institutions, 
mental health professionals, and sports psychologists. 

DOi: 10.5281/zenodo.16934496