Modeling with Mathematical Models the DEA for the Estimated of Penetration Rate and Access to Municipal Services (Case study: Socio-cultural services in Ardebil city)

Great value the justice in the society of the perspective of the Quran to the extent that Justice as a basic principle raised and God gives orders its. The main cause of the crisis of human societies is injustice. Injustice concept of spatial planning, challenges the Centralization theory. Also, this concept in urban land-use planning, is one component of sustainable urban development. In this descriptive and analytical study, using DEA-TOPSIS/GIS, Paid to evaluate the efficiency of the urban core of Ardebil in terms of penetration and operating radius of the city's service centers; Faced with dimensions of spatial - population of cells. This method uses two virtual ideal and anti-ideal DMU and measures the efficiency of each DMU according to virtual ones, putting this results in a relative neighborhood index we are able to rank DMUs. The results of the study showed that; is efficient 6 urban core with a total area of about 1,000 hectares in middle of the city. On the other, the index at rest areas (especially at edges of the city) is reflect the Lack of influence of the (same) municipal services to these areas.