Neutrosophic Optimal Transport of Rural Cultural Development Quality under Rural Revolutionary Topological Constraints: A Strategic Evaluation Model

Abstract

Rural cultural revitalization demands evaluation models capable of addressing 
incomplete, inconsistent, and structurally interconnected data. This paper introduces a 
novel framework Neutrosophic Optimal Transport for Rural Cultural Quality (NOT
RCQ) which models the transformation from an existing rural cultural profile to a targeted 
revitalized state as an optimal transport problem in a refined neutrosophic measure space. 
Each cultural indicator is represented by a triplet of truth, indeterminacy, and falsehood 
components, allowing simultaneous quantification of verified achievements, uncertain 
data, and misleading or failed initiatives. Revolutionary topological constraints  
OverTopology, UnderTopology, OffTopology, and AntiTopology  are incorporated to 
represent policy expansions, resource limitations, activation/deactivation of cultural 
structures, and stress-test conditions respectively. The model computes a Neutrosophic 
Optimal Transport Distance between the current and desired states, reflecting the 
minimal “cost” of transforming cultural quality under given structural constraints. A 
higher-quality cultural profile corresponds to a shorter transport distance. The proposed 
method enables policymakers to identify priority interventions, assess resilience to 
disruptions, and compare revitalization strategies through rigorous quantitative analysis. 
The approach is validated on a realistic synthetic dataset simulating rural heritage 
preservation, community engagement, infrastructure, and innovation indicators.

DOI: 10.5281/zenodo.16884398