Class FuzzyLogic

java.lang.Object

org.episteme.natural.computing.ai.fuzzy.FuzzyLogic

public class FuzzyLogic
extends Object

Basic fuzzy logic engine.

Since:

1.0

Author:

Silvere Martin-Michiellot, Gemini AI (Google DeepMind)

Method Summary

Modifier and Type	Method	Description
static Real	and(Real a, Real b)	Fuzzy AND (T-norm: minimum).
static Real	centroidDefuzzification(Real[] values, Real[] memberships)	Centroid defuzzification (for discrete output).
static Real	gaussian(Real x, Real center, Real sigma)	Gaussian membership function.
static Real	not(Real a)	Fuzzy NOT (complement).
static Real	or(Real a, Real b)	Fuzzy OR (S-norm: maximum).
static Real	probabilisticOr(Real a, Real b)	Probabilistic OR (S-norm).
static Real	productAnd(Real a, Real b)	Product T-norm.
static Real	trapezoidal(Real x, Real a, Real b, Real c, Real d)	Trapezoidal membership function.
static Real	triangular(Real x, Real a, Real b, Real c)	Triangular membership function.

Methods inherited from class Object

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

Method Details

triangular

public static Real triangular(Real x,
 Real a,
 Real b,
 Real c)

Triangular membership function.

trapezoidal

public static Real trapezoidal(Real x,
 Real a,
 Real b,
 Real c,
 Real d)

Trapezoidal membership function.

gaussian

public static Real gaussian(Real x,
 Real center,
 Real sigma)

Gaussian membership function. μ(x) = exp(-(x-c)²/(2σ²))

and

public static Real and(Real a,
 Real b)

Fuzzy AND (T-norm: minimum).

or

public static Real or(Real a,
 Real b)

Fuzzy OR (S-norm: maximum).

not

public static Real not(Real a)

Fuzzy NOT (complement).

productAnd

public static Real productAnd(Real a,
 Real b)

Product T-norm.

probabilisticOr

public static Real probabilisticOr(Real a,
 Real b)

Probabilistic OR (S-norm).

centroidDefuzzification

public static Real centroidDefuzzification(Real[] values,
 Real[] memberships)

Centroid defuzzification (for discrete output).