Neutrosophic Sets and Systems
Abstract
Urban landscape sculpture plays a crucial role in preserving cultural heritage, enhancing city vitality, and reflecting the lives of urban citizens. With the continued development of landscape sculpture in modern urban environments, the process of site selection has become increasingly important. A well-chosen location can establish a positive interaction between sculptures and urban activities. Traditionally, site selection methods have been largely theoretical, lacking quantitative foundations, which made practical application challenging for designers. To address this, site selection for urban landscape sculptures can be approached as a multiple-attribute decision-making (MADM) problem. Grey Relational Analysis (GRA) is an effective method for handling MADM. Additionally, the probabilistic simplified Neutrosophic set (PSNS) is a useful tool for expressing uncertainty during site selection evaluations. This study proposes an optimization technique using the Lagrange function to determine attribute weights, along with the PSNN-GRA technique for MADM. A numerical example of site selection for urban landscape sculptures is used to validate the PSNN-GRA method through comparative analysis.
Recommended Citation
Liu, Qiwei; Jiayin Li; and Chang Liu. "Lagrange-Integrated GRA Model for Urban Landscape Sculpture Site Selection with Neutrosophic Decision-Making." Neutrosophic Sets and Systems 78, 1 (2025). https://digitalrepository.unm.edu/nss_journal/vol78/iss1/4
