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

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.