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, 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