## Documentation for package ‘FuzzyNumbers’ version 0.4-1

FuzzyNumbers-package | Tools to Deal with Fuzzy Numbers |

*-method | Arithmetic Operations on Fuzzy Numbers |

+-method | Arithmetic Operations on Fuzzy Numbers |

--method | Arithmetic Operations on Fuzzy Numbers |

/-method | Arithmetic Operations on Fuzzy Numbers |

alphacut | Calculate Alpha-Cuts |

alphacut-method | Calculate Alpha-Cuts |

alphaInterval | Calculate the Alpha-Interval of a Fuzzy Number |

alphaInterval-method | Calculate the Alpha-Interval of a Fuzzy Number |

ambiguity | Calculate the Ambiguity of a Fuzzy Number |

ambiguity-method | Calculate the Ambiguity of a Fuzzy Number |

approxInvert | Approximate the Inverse of a Given Function |

arctan2 | Arc-tangent |

arctan2-method | Arc-tangent |

Arithmetic | Arithmetic Operations on Fuzzy Numbers |

as.character | Get Basic Information on a Fuzzy Number in a String |

as.character-method | Get Basic Information on a Fuzzy Number in a String |

as.FuzzyNumber | Converts an Object to a Fuzzy Number |

as.FuzzyNumber-method | Converts an Object to a Fuzzy Number |

as.PiecewiseLinearFuzzyNumber | Converts an Object to a Piecewise Linear Fuzzy Number |

as.PiecewiseLinearFuzzyNumber-method | Converts an Object to a Piecewise Linear Fuzzy Number |

as.PowerFuzzyNumber | Converts an Object to a Power Fuzzy Number |

as.PowerFuzzyNumber-method | Converts an Object to a Power Fuzzy Number |

as.TrapezoidalFuzzyNumber | Converts an Object to a Trapezoidal Fuzzy Number |

as.TrapezoidalFuzzyNumber-method | Converts an Object to a Trapezoidal Fuzzy Number |

convertAlpha | Convert a Given Upper/Lower Alpha-Cut Function to an Alpha-Cut Generating Function |

convertSide | Convert a Given Side Function to Side Generating Function |

core | Calculate the Core of a Fuzzy Number |

core-method | Calculate the Core of a Fuzzy Number |

DiscontinuousFuzzyNumber | Creates a Fuzzy Number with Possibly Discontinuous Side Functions or Alpha-Cut Bounds |

DiscontinuousFuzzyNumber-class | **EXPERIMENTAL** S4 Class Representing a Fuzzy Number with Discontinuous Side Functions or Alpha-Cut Bounds |

distance | Calculate the Distance Between Two Fuzzy Numbers |

distance-method | Calculate the Distance Between Two Fuzzy Numbers |

evaluate | Evaluate the Membership Function |

evaluate-method | Evaluate the Membership Function |

expectedInterval | Calculate the Expected Interval of a Fuzzy Number |

expectedInterval-method | Calculate the Expected Interval of a Fuzzy Number |

expectedValue | Calculate the Expected Value of a Fuzzy Number |

expectedValue-method | Calculate the Expected Value of a Fuzzy Number |

Extract | FuzzyNumber Slot Accessors |

fapply | Apply a Function on a Fuzzy Number |

fapply-method | Apply a Function on a Fuzzy Number |

FuzzyNumber | Creates a Fuzzy Number |

FuzzyNumber-class | S4 class Representing a Fuzzy Number |

integrateAlpha | Numerically Integrate Alpha-Cut Bounds |

integrateAlpha-method | Numerically Integrate Alpha-Cut Bounds |

integrate_discont_val | Integrate a Function with at Most Finite Number of Discontinuities *EXPERIMENTAL* |

maximum | Maximum of fuzzy nubmers |

maximum-method | Maximum of fuzzy nubmers |

minimum | Minimum of fuzzy nubmers |

minimum-method | Minimum of fuzzy nubmers |

necessityExceedance | Necessity of exceedance |

necessityExceedance-method | Necessity of exceedance |

necessityStrictExceedance | Necessity of strict exceedance |

necessityStrictExceedance-method | Necessity of strict exceedance |

necessityStrictUndervaluation | Necessity of strict undervaluation |

necessityStrictUndervaluation-method | Necessity of strict undervaluation |

necessityUndervaluation | Necessity of undervaluation |

necessityUndervaluation-method | Necessity of undervaluation |

piecewiseLinearApproximation | Piecewise Linear Approximation of a Fuzzy Number |

piecewiseLinearApproximation-method | Piecewise Linear Approximation of a Fuzzy Number |

PiecewiseLinearFuzzyNumber | Creates a Piecewise Linear Fuzzy Number |

PiecewiseLinearFuzzyNumber-class | S4 Class Representing a Piecewise Linear Fuzzy Number |

plot | Plot a Fuzzy Number |

plot-method | Plot a Fuzzy Number |

possibilityExceedance | Possibility of exceedance |

possibilityExceedance-method | Possibility of exceedance |

possibilityStrictExceedance | Possibility of strict exceedance |

possibilityStrictExceedance-method | Possibility of strict exceedance |

possibilityStrictUndervaluation | Possibility of strict undervaluation |

possibilityStrictUndervaluation-method | Possibility of strict undervaluation |

possibilityUndervaluation | Possibility of undervaluation |

possibilityUndervaluation-method | Possibility of undervaluation |

PowerFuzzyNumber | Creates a Fuzzy Number with Sides Given by Power Functions |

PowerFuzzyNumber-class | S4 class Representing a Fuzzy Number with Sides Given by Power Functions |

show | Print Basic Information on a Fuzzy Number |

show-method | Print Basic Information on a Fuzzy Number |

supp | Calculate the Support of a Fuzzy Number |

supp-method | Calculate the Support of a Fuzzy Number |

trapezoidalApproximation | Trapezoidal Approximation of a Fuzzy Number |

trapezoidalApproximation-method | Trapezoidal Approximation of a Fuzzy Number |

TrapezoidalFuzzyNumber | Creates a Trapezoidal Fuzzy Number |

TrapezoidalFuzzyNumber-class | S4 class Representing a Trapezoidal Fuzzy Number |

TriangularFuzzyNumber | Creates a Triangular Fuzzy Number |

value | Calculate the Value of a Fuzzy Number |

value-method | Calculate the Value of a Fuzzy Number |

weightedExpectedValue | Calculate the Weighted Expected Value of a Fuzzy Number |

weightedExpectedValue-method | Calculate the Weighted Expected Value of a Fuzzy Number |

width | Calculate the Width of a Fuzzy Number |

width-method | Calculate the Width of a Fuzzy Number |

[-method | FuzzyNumber Slot Accessors |

^-method | Integer power of fuzzy number |