FuzzyNumbers (version 0.4-7)

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

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).

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.

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.

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

# NOT RUN {
showClass("PiecewiseLinearFuzzyNumber")
showMethods(classes="PiecewiseLinearFuzzyNumber")
# }