// FILE. . . . . d:/hak/hlt/src/hlt/math/fuzzy/LukasieviczAlgebra.java
// EDIT BY . . . Hassan Ait-Kaci
// ON MACHINE. . Hp-Zbook
// STARTED ON. . Sun May 6 08:23:47 2018
/**
* @version Last modified on Sun Dec 15 10:45:17 2019 by hak
* @author Hassan Aït-Kaci
* @copyright © by the author
*/
package hlt.math.fuzzy;
/**
* package hlt.math.fuzzy
* package documentation listing
*/
/**
* This defines the class LukasieviczAlgebra as:
*
*
* sum(x,y) ≝ Math.min(x+y,1.0)
* product(x,y) ≝ Math.max(0.0,x+y-1.0)
*
* @see FuzzyAlgebra
* @see FuzzyMatrix
*/
public class LukasieviczAlgebra extends FuzzyAlgebra
{
/**
* Return a String form for this LukasieviczAlgebra.
*/
public final String toString ()
{
return "Lukasievicz Fuzzy Algebra";
}
/**
*
*/
/**
* Define sum for this LukasieviczAlgebra.
*/
public final double sum (double x, double y)
{
return Math.min(x+y,1.0);
}
/**
* Define product for this LukasieviczAlgebra.
*/
public final double product (double x, double y)
{
return Math.max(0.0,x+y-1);
}
}