Home > SFMI > AlphaCut.m

AlphaCut

PURPOSE ^

Determine the lower and upper endpoints of an alpha cut of a fuzzy cluster.

SYNOPSIS ^

function [inf,sup]=AlphaCut(x,U,v,range,CutLevel)

DESCRIPTION ^

 Determine the lower and upper endpoints of an alpha cut of a fuzzy cluster.

      [inf,sup]=AlphaCut(x,U,v,range,CutLevel)

 The cluster is given by points.
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 Parameters
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 x                  - Column vector containing the data points. It should
                      be sorted in ascending order.
 U                  - Row vector containing one row of the membership 
                      matrix that corresponds to the current cluster. 
                      Each column represents a data point. 
 v                  - Center of the cluster.
 range              - Range of the current linguistic variable.
 CutLevel           - Indicates at which alpha level the shape of the 
                      cluster should be cut.
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 Returned values
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 inf                - Lower endpoint of the cut.
 sup                - Upper endpoint of the cut.
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 Remarks
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 Zsolt Csaba Johanyák, johanyak.csaba@gamf.kefo.hu, v. 1.2,  27 February
 2007.

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:
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