Package net.sf.tweety.logics.pl.analysis

Class FuzzyInconsistencyMeasure

java.lang.Object

net.sf.tweety.logics.commons.analysis.BeliefSetInconsistencyMeasure<PlFormula>

net.sf.tweety.logics.pl.analysis.FuzzyInconsistencyMeasure

All Implemented Interfaces:

PostulateEvaluatable<PlFormula>, InconsistencyMeasure<BeliefSet<PlFormula,?>>

public class FuzzyInconsistencyMeasure
extends BeliefSetInconsistencyMeasure<PlFormula>

This measure implements the approach presented in [Thimm, Measuring Inconsistency with Many-Valued Logics. 2017.]

Author:

Matthias Thimm

Field Summary

Fields

Modifier and Type	Field	Description
private byte	measure_version	One of TFUZZY_MEASURE, SUMFUZZY_MEASURE
static byte	SUMFUZZY_MEASURE	static constant for the Sum-version of the measure
private TCoNorm	tconorm	The used T-conorm
static byte	TFUZZY_MEASURE	static constant for the T-version of the measure
private TNorm	tnorm	The used T-norm

Fields inherited from interface net.sf.tweety.logics.commons.analysis.InconsistencyMeasure

MEASURE_TOLERANCE

Constructor Summary

Constructors

Constructor	Description
FuzzyInconsistencyMeasure(TNorm tnorm)	Creates a new measure for the given T-norm.
FuzzyInconsistencyMeasure(TNorm tnorm, byte measure_version)	Creates a new measure for the given T-norm.
FuzzyInconsistencyMeasure(TNorm tnorm, TCoNorm tconorm)	Creates a new measure (T Version) for the given T-norm and T-conorm.
FuzzyInconsistencyMeasure(TNorm tnorm, TCoNorm tconorm, byte measure_version)	Creates a new measure for the given T-norm and T-conorm.

Method Summary

Modifier and Type	Method	Description
private Pair<java.util.Map<Variable,Term>,java.lang.Double>	constructAndSolveProblem(java.util.Collection<PlFormula> formulas, java.util.Map<Proposition,Variable> assignments)	Utility method
FuzzyInterpretation	getOptimalInterpretation(java.util.Collection<PlFormula> formulas)	Returns an optimal interpretation as a witness for the inconsistency value.
private Term	getTerm(PlFormula formula, java.util.Map<Proposition,Variable> assignments)	Returns a mathematical term representation of the given formula by replacing proposition by their given mathematical variables and replacing conjunction, disjunction, and negation by their fuzzy counterparts (taking the given t-norm and t-conorm into account).
java.lang.Double	inconsistencyMeasure(java.util.Collection<PlFormula> formulas)	This method measures the inconsistency of the given set of formulas.

Methods inherited from class net.sf.tweety.logics.commons.analysis.BeliefSetInconsistencyMeasure

inconsistencyMeasure

Methods inherited from class java.lang.Object

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

Field Detail

TFUZZY_MEASURE

public static final byte TFUZZY_MEASURE

static constant for the T-version of the measure

See Also:

Constant Field Values

SUMFUZZY_MEASURE

public static final byte SUMFUZZY_MEASURE

static constant for the Sum-version of the measure

See Also:

Constant Field Values

tnorm

private TNorm tnorm

The used T-norm

tconorm

private TCoNorm tconorm

The used T-conorm

measure_version

private byte measure_version

One of TFUZZY_MEASURE, SUMFUZZY_MEASURE

Constructor Detail

FuzzyInconsistencyMeasure

public FuzzyInconsistencyMeasure(TNorm tnorm,
                                 TCoNorm tconorm,
                                 byte measure_version)

Creates a new measure for the given T-norm and T-conorm.

Parameters:

tnorm - some T-norm

tconorm - some T-conorm

measure_version - one of TFUZZY_MEASURE, SUMFUZZY_MEASURE

FuzzyInconsistencyMeasure

public FuzzyInconsistencyMeasure(TNorm tnorm,
                                 TCoNorm tconorm)

Creates a new measure (T Version) for the given T-norm and T-conorm.

Parameters:

tnorm - some T-norm

tconorm - some T-conorm

FuzzyInconsistencyMeasure

public FuzzyInconsistencyMeasure(TNorm tnorm)

Creates a new measure for the given T-norm. Its dual is used as t-conorm.

Parameters:

tnorm - some T-norm

FuzzyInconsistencyMeasure

public FuzzyInconsistencyMeasure(TNorm tnorm,
                                 byte measure_version)

Creates a new measure for the given T-norm. Its dual is used as t-conorm.

Parameters:

tnorm - some T-norm

measure_version - one of TFUZZY_MEASURE, SUMFUZZY_MEASURE

Method Detail

getTerm

private Term getTerm(PlFormula formula,
                     java.util.Map<Proposition,Variable> assignments)

Returns a mathematical term representation of the given formula by replacing proposition by their given mathematical variables and replacing conjunction, disjunction, and negation by their fuzzy counterparts (taking the given t-norm and t-conorm into account).

Parameters:

formula - some propositional formula

assignments - an assignment of proposition to variables

Returns:

the term representing the given formula

constructAndSolveProblem

private Pair<java.util.Map<Variable,Term>,java.lang.Double> constructAndSolveProblem(java.util.Collection<PlFormula> formulas,
                                                                                                 java.util.Map<Proposition,Variable> assignments)

Utility method

Parameters:

formulas - a set of formulas

assignments - a map of assignments

Returns:

the solution

getOptimalInterpretation

public FuzzyInterpretation getOptimalInterpretation(java.util.Collection<PlFormula> formulas)

Returns an optimal interpretation as a witness for the inconsistency value.

Parameters:

formulas - a set of formulas

Returns:

an optimal interpretation as a witness for the inconsistency value.

inconsistencyMeasure

public java.lang.Double inconsistencyMeasure(java.util.Collection<PlFormula> formulas)

Description copied from class: BeliefSetInconsistencyMeasure

This method measures the inconsistency of the given set of formulas.

Specified by:

inconsistencyMeasure in class BeliefSetInconsistencyMeasure<PlFormula>

Parameters:

formulas - a collection of formulas.

Returns:

a Double indicating the degree of inconsistency.