## Class CenterOfArea

• ```public class CenterOfArea
extends CenterOfGravity```
Defuzzifier method that calculates the value of x where the areas become equal in the aggregated function. Formally, CoA = Area(f, x0, CoA) = Area(f, CoA, xn) This implementation uses Riemann's sums and Binary search to locate the value of CoA, to a precision of 1.e-8

• ### Fields inherited from class libai.fuzzy.defuzzifiers.Defuzzifier

`COA, COG, MOM`
• ### Constructor Summary

Constructors
Constructor Description
`CenterOfArea()`
• ### Method Summary

All Methods
Modifier and Type Method Description
`double` `getValue​(java.util.List<java.awt.geom.Point2D.Double> function)`
Implements the center of gravity by calculating the Riemann's sums of the area using the trapezoidal rule.
`java.lang.String` `toString()`
• ### Methods inherited from class libai.fuzzy.defuzzifiers.CenterOfGravity

`riemmanSum, riemmanSum`
• ### Methods inherited from class libai.fuzzy.defuzzifiers.Defuzzifier

`fromString`
• ### Methods inherited from class java.lang.Object

`clone, equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait`
• ### Constructor Detail

• #### CenterOfArea

`public CenterOfArea()`
• ### Method Detail

• #### getValue

`public double getValue​(java.util.List<java.awt.geom.Point2D.Double> function)`
Description copied from class: `CenterOfGravity`
Implements the center of gravity by calculating the Riemann's sums of the area using the trapezoidal rule. It assumes the x points are equally spaced across the whole domain of the function.
Overrides:
`getValue` in class `CenterOfGravity`
Parameters:
`function` - the list of points [x, f(x)] representing the function to analyze.
Returns:
the center of gravity of the function.
• #### toString

`public java.lang.String toString()`
Overrides:
`toString` in class `CenterOfGravity`