/***********************************************************************
This file is part of KEEL-software, the Data Mining tool for regression,
classification, clustering, pattern mining and so on.
Copyright (C) 2004-2010
F. Herrera (herrera@decsai.ugr.es)
L. S�nchez (luciano@uniovi.es)
J. Alcal�-Fdez (jalcala@decsai.ugr.es)
S. Garc�a (sglopez@ujaen.es)
A. Fern�ndez (alberto.fernandez@ujaen.es)
J. Luengo (julianlm@decsai.ugr.es)
This program is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program. If not, see http://www.gnu.org/licenses/
**********************************************************************/
package keel.Algorithms.Fuzzy_Rule_Learning.Shared.Fuzzy;
/**
* <p>
* It is the abstract class for the remaining basic classes related with Fuzzy Logic..
*
*
* Detailed in:
*
* Zadeh, L. Fuzzy logic, IEEE Computer, 1:83, (1988)
*
* </p>
*
* <p>
* @author Written by Luciano S�nchez (University of Oviedo) 20/01/2004
* @author Modified by Enrique A. de la Cal (University of Oviedo) 13/12/2008
* @version 1.0
* @since JDK1.4
* </p>
*/
public abstract class Fuzzy {
// Positive limit for the support set of a fuzzy set
final double POSITIVEINF=1.0e10;
// Negative limit for the support set of a fuzzy set
final double NEGATIVEINF=-1.0e10;
/**
* <p>
* A constructor by default.
*
* </p>
*/
public Fuzzy() {};
/**
* <p>
* Returns the membership level for the individual x.
*
* </p>
* @param x the individual which membership is to be calculated.
* @return the membership level for individual x.
*/
public abstract double evaluateMembership(double x);
/**
* <p>
* Returns the centroid of the present fuzzy number.
*
* </p>
* @return the centroid of the present fuzzy number.
*/
public abstract double massCentre();
/**
* <p>
* Creates and returns a copy of this object.
*
* </p>
* @return a clone of this instance.
*/
public abstract Fuzzy clone();
/**
* <p>
* Returns a printable version of the instance.
*
* </p>
* @return a String with a printable version of the instance.
*/
public abstract String aString();
/**
* <p>
* Creates and returns a FuzzyInterval with unique point of the support set.
*
* </p>
* @return an interval with the unique point of the support set.
*/
public abstract FuzzyInterval support();
/**
* <p>
* Indicates whether some other object is "equal to" this one.
*
* </p>
* @param b the reference object with which to compare.
* @return true if this object is the same as the B argument; false otherwise.
*/
public abstract boolean equals(Fuzzy b);
};