nrc.fuzzy
Class SingletonFuzzySet

java.lang.Object
  |
  +--nrc.fuzzy.FuzzySet
        |
        +--nrc.fuzzy.LRFuzzySet
              |
              +--nrc.fuzzy.TrapezoidFuzzySet
                    |
                    +--nrc.fuzzy.TriangleFuzzySet
                          |
                          +--nrc.fuzzy.SingletonFuzzySet

All Implemented Interfaces:

java.lang.Cloneable, java.io.Serializable

public class SingletonFuzzySet

extends TriangleFuzzySet

implements java.io.Serializable

Used to build specialized FuzzySets that have a single value with membership value of 1.0. Note that such a FuzzySet requires 3 points in it's definition:
e.g. (x,0) (x,1) (x,0)
Also note that the definition of a FuzzySet with only 1 point defines a horizontal line at the specifiec membership value and not a singleton value.
The diagram below shows a SingletonFuzzySet.



Note that the Constructors have been defined to make the generation of such curves as simple as possible. Only 1 point is required to define the singleton shape.

This is a specialization of the TriangleFuzzySet where the left, middle and right x values are the same.

See Also:

FuzzySet, LRFuzzySet, TriangleFuzzySet, Serialized Form

Nested Class Summary

Nested classes inherited from class nrc.fuzzy.FuzzySet

FuzzySet.UITools

Field Summary

Fields inherited from class nrc.fuzzy.FuzzySet

BFALSE, BTRUE, COLLINEAR_OR_PARALLEL, INCREMENT, INTERSECTION, MAX_INITIAL_POINTS, MAXMIN, NO_INTERSECTION, numPoints, set, simplified, SUM, tool, toStringPrecision, UNION

Constructor Summary

SingletonFuzzySet(double xValue)
Generate a FuzzySet with an triangle shape.

Methods inherited from class nrc.fuzzy.LRFuzzySet

checkParameters

Methods inherited from class nrc.fuzzy.FuzzySet

appendSetPoint, appendSetPoint, centerOfAreaDefuzzify, checkXValueOrder, checkYValueRange, concat, concat, confineToXBounds, copyFuzzySet, equals, findMaxYOverlapValue, fuzzyComplement, fuzzyEqual, fuzzyIntersection, fuzzyIntersection, fuzzyIntersectionUnion, fuzzyNormalize, fuzzyScale, fuzzySum, fuzzySum, fuzzyUnion, fuzzyUnion, getAlphaCut, getArea, getArea, getMaxY, getMembership, getMinY, getPoint, getSupport, getUITools, getX, getXforMembership, getY, goingDown, goingUp, horizontalIntersection, horizontalIntersectionUnion, horizontalUnion, incrementArrayLength, incrementArrayLength, insertSetPoint, insertSetPoint, isConvex, isEmpty, isNormal, isSimplified, maximumDefuzzify, maximumOfIntersection, maximumOfIntersection, momentDefuzzify, noIntersectionTest, nonIntersectionTest, plotFuzzySet, plotFuzzySets, removeSetPoint, removeSetPoint, sameDirection, sameSign, setToStringPrecision, shiftArrayLeft, shiftArrayRight, simplifySet, size, testArrayLength, toString, trimToSize, weightedAverageDefuzzify

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait

Constructor Detail

SingletonFuzzySet

public SingletonFuzzySet(double xValue)
                  throws XValuesOutOfOrderException

Generate a FuzzySet with an triangle shape.

Throws:

XValuesOutOfOrderException - if the x values are not in correct increasing order