A Robust Multi-Dimensional n-Valued Refined Neutrosophic  Logic Framework for Competitive Calculation in the Leisure Sports  Industry

Ying Zheng; Lie Mo; Zhiwen Ye

Authors

Ying Zheng School of Education, Zhanjiang University of Science and Technology, Zhanjiang, Guangdong, 524300, China
Lie Mo School of Education, Zhanjiang University of Science and Technology, Zhanjiang, Guangdong, 524300, China
Zhiwen Ye School of Education, Zhanjiang University of Science and Technology, Zhanjiang, Guangdong, 524300, China

Keywords:

TOPSIS models; n-valued refined neutrosophic logic; leisure sports industry; competitiveness

Abstract

The leisure sports industry is facing increasing complexity and rapid change,
exacerbated by technological disruption and fluctuating consumer behavior. To assess its
competitiveness reliably, this study introduces an innovative multi-dimensional
framework based on n-valued refined neutrosophic logic. Unlike traditional logic or
decision models, our model decomposes the classic components truth (T), indeterminacy
(I), and falsity (F) into multiple refined subcomponents. This allows for more precise
modeling of contradictions and uncertainties inherent in market conditions, innovation
adoption, infrastructure variability, and regional dynamics. We propose an extensive set
of new mathematical formulations, including dynamic priority-based n-norms, n
conorms, predictive impact scores, and synergy metrics. Real-world case studies from
China’s leisure sports sector demonstrate the practical utility and outperform traditional
TOPSIS models by more than 22% in consistency and sensitivity. The proposed model
offers actionable insights for policymakers, investors, and urban development planners.

DOI: 10.5281/zenodo.15514495