A Neutrosophic Eco-Dynamical Framework for Rural Ecotourism Management Quality under Urban Expansion Pressure
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 pro...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of New Mexico
2025-07-01
|
| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | https://fs.unm.edu/NSS/33EcoDynamical.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849329985315143680 |
|---|---|
| author | Hongxia Lei Hongxia Lei |
| author_facet | Hongxia Lei Hongxia Lei |
| author_sort | Hongxia Lei |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-7c6a2f26ac1e4c148f7fecf4ad2a31bc |
| institution | Kabale University |
| issn | 2331-6055 2331-608X |
| language | English |
| publishDate | 2025-07-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj-art-7c6a2f26ac1e4c148f7fecf4ad2a31bc2025-08-20T03:47:06ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2025-07-018851252210.5281/zenodo.15825613A Neutrosophic Eco-Dynamical Framework for Rural Ecotourism Management Quality under Urban Expansion PressureHongxia LeiHongxia LeiThis 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. https://fs.unm.edu/NSS/33EcoDynamical.pdfneutrosophic modelrural ecotourismurbanizationuncertaintylattice dynamicszoningsustainability |
| spellingShingle | Hongxia Lei Hongxia Lei A Neutrosophic Eco-Dynamical Framework for Rural Ecotourism Management Quality under Urban Expansion Pressure Neutrosophic Sets and Systems neutrosophic model rural ecotourism urbanization uncertainty lattice dynamics zoning sustainability |
| title | A Neutrosophic Eco-Dynamical Framework for Rural Ecotourism Management Quality under Urban Expansion Pressure |
| title_full | A Neutrosophic Eco-Dynamical Framework for Rural Ecotourism Management Quality under Urban Expansion Pressure |
| title_fullStr | A Neutrosophic Eco-Dynamical Framework for Rural Ecotourism Management Quality under Urban Expansion Pressure |
| title_full_unstemmed | A Neutrosophic Eco-Dynamical Framework for Rural Ecotourism Management Quality under Urban Expansion Pressure |
| title_short | A Neutrosophic Eco-Dynamical Framework for Rural Ecotourism Management Quality under Urban Expansion Pressure |
| title_sort | neutrosophic eco dynamical framework for rural ecotourism management quality under urban expansion pressure |
| topic | neutrosophic model rural ecotourism urbanization uncertainty lattice dynamics zoning sustainability |
| url | https://fs.unm.edu/NSS/33EcoDynamical.pdf |
| work_keys_str_mv | AT hongxialei aneutrosophicecodynamicalframeworkforruralecotourismmanagementqualityunderurbanexpansionpressure AT hongxialei aneutrosophicecodynamicalframeworkforruralecotourismmanagementqualityunderurbanexpansionpressure AT hongxialei neutrosophicecodynamicalframeworkforruralecotourismmanagementqualityunderurbanexpansionpressure AT hongxialei neutrosophicecodynamicalframeworkforruralecotourismmanagementqualityunderurbanexpansionpressure |