Surveying the trend of Kermanshah Metropolis physical development and developing optimal growth directions

City is a residential space, man-made and expanding. the system that development process, and structural deformation seen it manages. Conformity and harmony with each other for the stability of the system is inevitable. Kermanshah city as the ninth Iran metropolitan region in recent decades has been severe physical expansion and population. this study examines the quality and quantity of this situation and provides optimal conditions for future development deals. the purpose of this article is applied and the approach is Analyticaldescriptive.to do this in the first part of Landsat TM and ETM + Satellite images over timescales 1986, 1991, 1998, 2007, 2010 and 2015 were used. in order to detect changes in the levels of classification changes cover three classes: residential and urban lands, agricultural lands and open spaces, the software ENVI Supervised classification with maximum likelihood method and the mean kappa coefficient were used more than 95% for all classes, and images that show high accuracy. The results show that urban expansion and population levels in three decades from 3221 hectares to 11432 hectares and 560514 inhabitants and 905602 inhabitants, that is about four times the physical growth and increased 1.61times the population has come to represent the physical development and rapid population during the period. In the second part of more than 20 criteria in relation to map physical parameters of extraction were prepared in a manner library. then, using fuzzy clustering and fuzzy logic in MATLAB software environment and GIS appeared to overlap layers and optimum directions. It turned out that the future development of Kermanshah city in "relatively good-average" are.