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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

enter image description here

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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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.

  • 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

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