# How to find boundaries with Fuzzy logic and GIS

How can I use Fuzzy logic in order to find the boundaries of an area with points? Is there a GIS software that does it? I would prefer Arcgis.

example from scholar pedia

Figure 1: Bird's-eye view on a forest: Where is the boundary of the forest? Which location is in the forest and which is out of it? (image from: http://www.scholarpedia.org/article/Fuzzy_sets#example)

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Here's a fuzzy logic demo in ArcGIS 10: downloads2.esri.com/campus/blog/demos/EsriFuzzyLogicDemo.mp4 – blah238 Nov 23 '12 at 21:43
– blah238 Nov 23 '12 at 21:53
Do your point data represent individual tree locations? Are there additional metrics associated with the xy locations, such as canopy diameter? – Aaron Nov 23 '12 at 22:01
If these data are a census of tree locations, fuzzy logic would be an inappropriate choice of analysis methods. Rather, I would recommend a vector based delineation. – Aaron May 30 '13 at 13:04
I worked on a similar project - creating oil & gas field boundaries from well point locations. GIS-Automated Oil and Gas Field Boundaries – Kirk Kuykendall May 30 '13 at 15:41

This is a simple technique to implement, no fuzzy logic required:
Buffer all Points
Merge or Union all Buffers
Dissolve
Delete Outlier Polygons where Area < certain value, producing the Forest Outline
You can Intersect the original Points with the Polygon Outline to detemine Points within the Outline.

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How do you decide what buffer distance? – Kirk Kuykendall May 30 '13 at 15:31
@Kirk, I would experiment using different buffer distances. BTW, the ArcGIS Union tool has a nice Gap feature, specify NO_GAPS, there will be no inner gaps in the polygons. I've seen this buffer & dissolve technique used several ways to produce Oil/Gas Well Field outlines from Well locations. – klewis May 30 '13 at 18:44