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FuzzyNumbers (version 0.4-7)

Tools to Deal with Fuzzy Numbers

Description

S4 classes and methods to deal with fuzzy numbers. They allow for computing any arithmetic operations (e.g., by using the Zadeh extension principle), performing approximation of arbitrary fuzzy numbers by trapezoidal and piecewise linear ones, preparing plots for publications, computing possibility and necessity values for comparisons, etc.

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Install

install.packages('FuzzyNumbers')

Monthly Downloads

651

Version

0.4-7

License

LGPL (>= 3)

Issues

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Repository

https://github.com/gagolews/FuzzyNumbers/

Maintainer

Marek Gagolewski

Last Published

November 15th, 2021

Functions in FuzzyNumbers (0.4-7)

DiscontinuousFuzzyNumber-class

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

FuzzyNumbers-package

Tools to Deal with Fuzzy Numbers

PiecewiseLinearFuzzyNumber-class

S4 Class Representing a Piecewise Linear Fuzzy Number

Arithmetic Operations on Fuzzy Numbers

FuzzyNumber Slot Accessors

DiscontinuousFuzzyNumber

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

PiecewiseLinearFuzzyNumber

Creates a Piecewise Linear Fuzzy Number

Creates a Fuzzy Number

FuzzyNumber-class

S4 class Representing a Fuzzy Number

PowerFuzzyNumber-class

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

Calculate the Ambiguity of a Fuzzy Number

Approximate the Inverse of a Given Function

TriangularFuzzyNumber

Creates a Triangular Fuzzy Number

TrapezoidalFuzzyNumber

Creates a Trapezoidal Fuzzy Number

Compute the Alpha-Interval of a Fuzzy Number

Calculate the Core of a Fuzzy Number

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

Convert a Given Side Function to Side Generating Function

Calculate the Distance Between Two Fuzzy Numbers

Compute Alpha-Cuts

expectedInterval

Calculate the Expected Interval of a Fuzzy Number

Evaluate the Membership Function

PowerFuzzyNumber

Creates a Fuzzy Number with Sides Given by Power Functions

TrapezoidalFuzzyNumber-class

S4 class Representing a Trapezoidal Fuzzy Number

necessityStrictUndervaluation

Necessity of strict undervaluation

necessityStrictExceedance

Necessity of strict exceedance

necessityExceedance

Necessity of exceedance

as.PiecewiseLinearFuzzyNumber

Converts an Object to a Piecewise Linear Fuzzy Number

Converts an Object to a Fuzzy Number

as.PowerFuzzyNumber

Converts an Object to a Power Fuzzy Number

Maximum of fuzzy nubmers

possibilityStrictUndervaluation

Possibility of strict undervaluation

^,PiecewiseLinearFuzzyNumber,numeric-method

Integer power of fuzzy number

Numerically Integrate Alpha-Cut Bounds

integrate_discont_val

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

necessityUndervaluation

Necessity of undervaluation

as.TrapezoidalFuzzyNumber

Converts an Object to a Trapezoidal Fuzzy Number

possibilityUndervaluation

Possibility of undervaluation

piecewiseLinearApproximation

Piecewise Linear Approximation of a Fuzzy Number

Plot a Fuzzy Number

Print Basic Information on a Fuzzy Number

Get Basic Information on a Fuzzy Number in a String

possibilityExceedance

Possibility of exceedance

possibilityStrictExceedance

Possibility of strict exceedance

Calculate the Width of a Fuzzy Number

Apply a Function on a Fuzzy Number

trapezoidalApproximation

Trapezoidal Approximation of a Fuzzy Number

Calculate the Support of a Fuzzy Number

Calculate the Expected Value of a Fuzzy Number

Minimum of fuzzy nubmers

Calculate the Value of a Fuzzy Number

weightedExpectedValue

Calculate the Weighted Expected Value of a Fuzzy Number