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

In FuzzyNumbers: Tools to Deal with Fuzzy Numbers

Description

A piecewise linear fuzzy number (PLFN) has side functions and alpha-cut bounds that linearly interpolate a given set of points (at fixed alpha-cuts).

Details

If knot.n is equal to 0 or all left and right knots lie on common lines, then a Piecewise Linear Fuzzy Number reduces to a TrapezoidalFuzzyNumber. Note that, however, the TrapezoidalFuzzyNumber does not inherit from PiecewiseLinearFuzzyNumber for efficiency reasons. To convert the former to the latter, call as.PiecewiseLinearFuzzyNumber.

Slots

a1, a2, a3, a4, lower, upper, left, right:

Inherited from the FuzzyNumber class.

knot.n:

number of knots, a single integer value, 0 for a trapezoidal fuzzy number

knot.alpha:

alpha-cuts, increasingly sorted vector of length knot.n with elements in [0,1]

knot.left:

nondecreasingly sorted vector of length knot.n; defines left alpha-cut bounds at knots

knot.right:

nondecreasingly sorted vector of length knot.n; defines right alpha-cut bounds at knots

Extends

Class FuzzyNumber, directly.

See Also

PiecewiseLinearFuzzyNumber for a convenient constructor, as.PiecewiseLinearFuzzyNumber for conversion of objects to this class, and piecewiseLinearApproximation for approximation routines.

Other PiecewiseLinearFuzzyNumber-method: Arithmetic, Extract, PiecewiseLinearFuzzyNumber, ^,PiecewiseLinearFuzzyNumber,numeric-method, alphaInterval(), arctan2(), as.PiecewiseLinearFuzzyNumber(), as.PowerFuzzyNumber(), as.TrapezoidalFuzzyNumber(), as.character(), expectedInterval(), fapply(), maximum(), minimum(), necessityExceedance(), necessityStrictExceedance(), necessityStrictUndervaluation(), necessityUndervaluation(), plot(), possibilityExceedance(), possibilityStrictExceedance(), possibilityStrictUndervaluation(), possibilityUndervaluation()

Examples

showClass("PiecewiseLinearFuzzyNumber")
showMethods(classes="PiecewiseLinearFuzzyNumber")

Example output

Class "PiecewiseLinearFuzzyNumber" [package "FuzzyNumbers"]

Slots:
                                                                        
Name:      knot.n knot.alpha  knot.left knot.right         a1         a2
Class:    numeric    numeric    numeric    numeric    numeric    numeric
                                                                        
Name:          a3         a4      lower      upper       left      right
Class:    numeric    numeric   function   function   function   function

Extends: "FuzzyNumber"
Function: * (package base)
e1="PiecewiseLinearFuzzyNumber", e2="FuzzyNumber"
e1="PiecewiseLinearFuzzyNumber", e2="PiecewiseLinearFuzzyNumber"
e1="PiecewiseLinearFuzzyNumber", e2="numeric"

Function: + (package base)
e1="PiecewiseLinearFuzzyNumber", e2="FuzzyNumber"
e1="PiecewiseLinearFuzzyNumber", e2="PiecewiseLinearFuzzyNumber"
e1="PiecewiseLinearFuzzyNumber", e2="numeric"

Function: - (package base)
e1="PiecewiseLinearFuzzyNumber", e2="FuzzyNumber"
e1="PiecewiseLinearFuzzyNumber", e2="PiecewiseLinearFuzzyNumber"
e1="PiecewiseLinearFuzzyNumber", e2="numeric"

Function: / (package base)
e1="PiecewiseLinearFuzzyNumber", e2="FuzzyNumber"
e1="PiecewiseLinearFuzzyNumber", e2="PiecewiseLinearFuzzyNumber"
e1="PiecewiseLinearFuzzyNumber", e2="numeric"

Function: [ (package base)
x="PiecewiseLinearFuzzyNumber", i="character"

Function: ^ (package base)
e1="PiecewiseLinearFuzzyNumber", e2="numeric"

Function: alphaInterval (package FuzzyNumbers)
object="PiecewiseLinearFuzzyNumber"

Function: arctan2 (package FuzzyNumbers)
y="PiecewiseLinearFuzzyNumber", x="PiecewiseLinearFuzzyNumber"


Function "arctan2e":
 <not an S4 generic function>

Function "arctan2m":
 <not an S4 generic function>
Function: as.PiecewiseLinearFuzzyNumber (package FuzzyNumbers)
object="PiecewiseLinearFuzzyNumber"

Function: as.PowerFuzzyNumber (package FuzzyNumbers)
object="PiecewiseLinearFuzzyNumber"

Function: as.TrapezoidalFuzzyNumber (package FuzzyNumbers)
object="PiecewiseLinearFuzzyNumber"

Function: as.character (package base)
x="PiecewiseLinearFuzzyNumber"

Function: expectedInterval (package FuzzyNumbers)
object="PiecewiseLinearFuzzyNumber"

Function: fapply (package FuzzyNumbers)
object="PiecewiseLinearFuzzyNumber", fun="function"


Function "fuzzyNumberUnification":
 <not an S4 generic function>
Function: initialize (package methods)
.Object="PiecewiseLinearFuzzyNumber"


Function "intersectionY":
 <not an S4 generic function>
Function: maximum (package FuzzyNumbers)
e1="PiecewiseLinearFuzzyNumber", e2="PiecewiseLinearFuzzyNumber"

Function: minimum (package FuzzyNumbers)
e1="PiecewiseLinearFuzzyNumber", e2="PiecewiseLinearFuzzyNumber"

Function: necessityExceedance (package FuzzyNumbers)
e1="PiecewiseLinearFuzzyNumber", e2="PiecewiseLinearFuzzyNumber"

Function: necessityStrictExceedance (package FuzzyNumbers)
e1="PiecewiseLinearFuzzyNumber", e2="PiecewiseLinearFuzzyNumber"

Function: necessityStrictUndervaluation (package FuzzyNumbers)
e1="PiecewiseLinearFuzzyNumber", e2="PiecewiseLinearFuzzyNumber"

Function: necessityUndervaluation (package FuzzyNumbers)
e1="PiecewiseLinearFuzzyNumber", e2="PiecewiseLinearFuzzyNumber"

Function: plot (package graphics)
x="PiecewiseLinearFuzzyNumber", y="missing"

Function: possibilityExceedance (package FuzzyNumbers)
e1="PiecewiseLinearFuzzyNumber", e2="PiecewiseLinearFuzzyNumber"

Function: possibilityStrictExceedance (package FuzzyNumbers)
e1="PiecewiseLinearFuzzyNumber", e2="PiecewiseLinearFuzzyNumber"

Function: possibilityStrictUndervaluation (package FuzzyNumbers)
e1="PiecewiseLinearFuzzyNumber", e2="PiecewiseLinearFuzzyNumber"

Function: possibilityUndervaluation (package FuzzyNumbers)
e1="PiecewiseLinearFuzzyNumber", e2="PiecewiseLinearFuzzyNumber"

FuzzyNumbers documentation built on Nov. 15, 2021, 5:09 p.m.