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

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.