Neutrosophic Set-Based PSNN-TOPSIS Framework for Multi-Attribute Decision Making: Applications in Evaluating the Quality of Environmental Art Design in Green Building Contexts

Abstract

With the continuous advancement of urbanization and the continuous 
development of landscape design concepts, green landscape design under the green 
building system has become the main direction of future landscape design development, 
playing an important role in creating a beautiful, comfortable, and ecological modern 
urban landscape. In the future, it is necessary to further strengthen research on green 
landscape design, reflecting the relevant requirements of green building concepts in 
energy conservation, water conservation, land conservation, etc., so that urban landscape 
design can break away from noise and restlessness, and return to the essence of nature and 
ecology. The quality evaluation of environmental art design from the perspective of green 
buildings could be looked at as multiple-attribute decision-making (MADM). The TOPSIS 
technique is a useful technique to put up with the MADM. The probabilistic simplified 
Neutrosophic set (PSNSs) makes it easy to express uncertain information during the 
quality evaluation of environmental art design from the perspective of green buildings. In 
this study, the CRITIC technique is put forward to obtain the attribute weights, and the 
probabilistic simplified neutrosophic number TOPSIS (PSNN-TOPSIS) technique is put 
forward for MADM. Finally, a numerical example for quality evaluation of environmental 
art design from the perspective of green buildings is employed to verify the PSNN-TOPSIS 
technique with comparative analysis.

DOI: 10.5281/zenodo.13988339