Abstract Tourism places substantial stress on regional land use that can lead to ecological deterioration, greater pollution, destruction of natural habitats, and increasing threats to species already in danger of extermination. Improved quality of life is made possible through the Fuzzy Hamacher Correlated Geometric (FHCG) method to observe the growth of multiple attributes in a water-based leisure tourism eco-city. Geographic Information System (GIS) technology, land use maps, and an executive segment satellite image are the main areas of attention for eco-cities as the main focus, which are supported by ecology and environmental space. Hence, FHCG-GIS has designed an environmental carrying capacity in eco-cities that can be increased through tourists who can be accepted in a specific location to fulfill the needs of water tourism, help the destination sector, protect the environment, and reduce the effect. A sensible outcome for evaluating the planning conditions in an eco-city can be found in the estimated indicators of water leisure tourism environmental carrying capacity, predicated on an analysis of scenic geographical resources and tourism economic conditions, and the results of the scenic area's integrated limits using barrel extrapolation.