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The paper tackles the social aspect of territorial cohesion through an examination of public service accessibility, a topic which requires an approach on a local scale. It presents the conceptual problems and methodological implications that this type of research on a European scale creates. Service areas are delimited according to three conceptual bases: accessibility, supply and demand. Based on an application of fuzzy sets theory, the method is applied to maternity hospitals in the Greater Region (a border territory composed of Lorraine, Luxembourg, Rheinland-Pflaz, Saarland and Wallonia). The resulting map of the three prospective scenarios developed in ESPON 3.2. shows the consequences of political decisions on planning and territories.