A Neutrosophic Eco-Dynamical Framework for Rural Ecotourism Management Quality under Urban Expansion Pressure

Abstract

This paper introduces a novel neutrosophic mathematical model for managing 
rural ecotourism quality under the growing influence of urban development. Traditional 
planning approaches fail to capture the interplay between sustainability, uncertainty, and 
degradation in fragile rural ecosystems. We propose the Neutrosophic Eco-Dynamical 
Lattice (NEDL), a spatial-temporal model where each region is represented by a truth
indeterminacy–falsehood triplet, evolving over time. Through systems of partial 
differential equations, neighbor interactions, and recovery dynamics, the model reflects 
how tourism pressure and urban encroachment impact land quality. A complete 4×4 case 
study demonstrates how truth (ecological health) declines, uncertainty rises, and collapse 
conditions emerge. Based on simulation results, we introduce a neutrosophic zoning 
strategy, triplet-based early warning system, and recovery prioritization. This study offers 
a new planning paradigm, rooted in neutrosophic reasoning, for sustainable rural 
ecotourism management. 

DOI: 10.5281/zenodo.15825613