geomorphological zoning of the city of arak using fuzzy logic model (the approach to the future development of arak)

the main objective of this study was to arak city zoning geomorphological parameters of the model using fuzzy logic. in order to realize these objectives, 10 parameters including of height, distance from fault, distance from the main channel, distance from sub-channel, distance from road, slope percent, distance from settlements, terrain type, erosion potential and seismic vulnerability in the form of raster and vector maps were prepared and each raster layer based on field studies and expert opinion of a defined function. after applying the functions, operations, multiplication, addition and different values of gamma phase were also performed on the layers. so, was used of arc gis 9.3 and erdas 9.1 soft wares.in the end, comparison analysis has done between the suitable arenas to real situation of city according to the critical arenas and suitable arenas of the quantities of gammas and it was clear 0.7 fuzzy gammas have the most accordance with the most suitable lands of the situation the town. the results indicate that two stations in the west and the east of county seems suitable for the development of suitable future city of arak and at the present time the north and northeast arena of city and is the first priority. in the end, the final map classification to 5 classes, regions as the proportion is very low with 2189, proportion at least 389, proportion class 593, proportion with 552 and 381 with a great square kilometers.