Coping With Information Uncertainty Through Robust Spherical Fuzzy MAGDM: Application to Feasibility Evaluation of Old Residential Area Renovation From a Low-Carbon Perspective

China's substantial rural demographic presents both a challenge and an opportunity for national health advancement. Enhancing physical fitness within rural communities requires particular attention to older residents' access to sports services. A thorough examination of current service provision revealed opportunities for systematic improvement through coordinated policy development, sustainable funding models, and targeted community engagement. A feasibility evaluation of renovating old residential areas from a low-carbon perspective involves multiple-attribute group decision-making. In this research, the authors addressed such challenges through methodological innovations in spherical fuzzy sets processing. The spherical fuzzy number Evaluation based on Distance from Average Solution (EDAS) technique was constructed to solve this kind of evaluation problem. For objective criterion weighting, they adapted the Method based on the Removal Effects of Criteria (MEREC) procedure to spherical fuzzy sets. Validation through a feasibility evaluation of the renovation of an old residential area confirmed the framework's practical effectiveness, and comparative assessments with established methods substantiated its advantages across various application contexts.