Available with Spatial Analyst license.
Defines a fuzzy membership function with the smaller input values having membership closer to 1. The function is defined by a user-specified midpoint (which is assigned a membership of 0.5) with a defined spread.
The tool that uses the FuzzySmall object: Fuzzy Membership.
The equation for the fuzzy Small function is:
The inputs to the equation are f1, the spread, and f2, the midpoint. Increasing the spread causes the fuzzy membership curve to become steeper.
The Small function is useful when the small input values have a higher membership.
The input values can be either integer or floating point positive values.
FuzzySmall (midpoint, spread)
The user-defined value with a fuzzy membership of 0.5.
The default is the midpoint of the range of values of the input raster.
Defines the spread of the Small function. The spread generally ranges from 1 to 10, with the larger the value results in a steeper distribution from the midpoint.
(The default value is 5)
(Read and Write)
The user-defined value defining the midpoint for the membership function.
(Read and Write)
Defines the spread of the membership function. The larger the value results in a steeper distribution from the midpoint.
FuzzySmall example 1 (Python window)
Demonstrates how to create a FuzzySmall class and use it in the FuzzyMembership tool within the Python window.
import arcpy from arcpy.sa import * from arcpy import env env.workspace = "c:/sapyexamples/data" outFzyMember = FuzzyMembership("as_std", FuzzySmall(19, 8)) outFzyMember.save("c:/sapyexamples/fzysml")
FuzzySmall example 2 (stand-alone script)
Performs a FuzzyMembership using the FuzzySmall class.
# Name: FuzzySmall_Ex_02.py # Description: Scales input raster data into values ranging from zero to one # indicating the strength of a membership in a set. # Requirements: Spatial Analyst Extension # Import system modules import arcpy from arcpy import env from arcpy.sa import * # Set environment settings env.workspace = "C:/sapyexamples/data" # Set local variables inRaster = "as_std" # Create the FuzzySmall algorithm object midpoint = 12 spread = 8 myFuzzyAlgorithm = FuzzySmall(midpoint, spread) # Execute FuzzyMembership outFuzzyMember = FuzzyMembership(inRaster, myFuzzyAlgorithm) # Save the output outFuzzyMember.save("c:/sapyexamples/fzysml2")