Investigating the geomorphological limits of the physical development of city)Case example: Mahabad city(

Currently, the world is continuously growing and developing due to the increase in population and diverse human needs, and its speed is increasing day by day. Therefore, humans always change and transform their surroundings and try to choose the best places for their lives. The purpose of the current research is to analyze and investigate the geomorphological limitations of the physical development of Mahabad city and its optimal location in the future development. For this reason, 1:100000 geological maps, layers of elevation, slope, direction of slope, geology, land use, flood, erosion, fault, satellite images and by processing and providing these parameters in ARC GIS software, editing and digitization have been done on them. Is. Finally, by using fuzzy and hierarchical logic models, land zoning has been done for the physical development of Mahabad city. The results showed that the formation of this city in its current position was not based on geomorphological studies, but due to the existence of fertile plains and plains, which are among the oldest human settlements. The most suitable direction for the physical development and expansion of Mahabad city is towards the north and towards Mahabad Jalga (ruined city). According to the zoning map, about 12.5% ​​in fuzzy multiplication and about 29.1% in fuzzy addition are part of the appropriate area.