Fuzzy logic based evaluation of environmental perception and vitality of public space in old residential area

This study proposes a novel FL-based framework for evaluating the vitality of public spaces in old residential areas. Unlike existing models, which often rely on rigid quantitative metrics or overly generalized spatial assessments, our approach integrates environmental perception with spatial vitality using a multi-criteria FL decision-making model. The model introduces a systematic way to capture both physical and social dimensions of public spaces, including spatial form, accessibility, facility layout, visual openness, and greenery. These are translated into evaluative rules through FL, allowing for nuanced assessments of underutilized or aging urban spaces. Current urban studies often mention vitality and perception but lack formalized methods for measuring them in historical contexts. Our research fills this theoretical gap by offering a structured, adaptable model that incorporates local geographic and social variables. Through empirical analysis and expert validation, the model demonstrates strong alignment with observed urban patterns and design outcomes. This study contributes to the field of urbanism by offering a scalable and transferable methodology for revitalizing legacy neighborhoods, guiding both policy and design toward more livable, inclusive urban environments.