FuzzyNumbers (version 0.4-6)

integrateAlpha: Numerically Integrate Alpha-Cut Bounds

Description

Integrates numerically a transformed or weighted lower or upper alpha-cut bound of a fuzzy number.

Usage

# S4 method for FuzzyNumber,character,numeric,numeric
integrateAlpha(object, which=c("lower", "upper"),
   from=0, to=1, weight=NULL, transform=NULL, ...)
# S4 method for DiscontinuousFuzzyNumber,character,numeric,numeric
integrateAlpha(object, which=c("lower", "upper"),
   from=0, to=1, weight=NULL, transform=NULL, ...)

Arguments

object

a fuzzy number

which

one of "lower", "upper"

from

numeric

to

numeric

...

additional arguments passed to integrate or integrate_discont_val

weight

a function or NULL

transform

a function or NULL

Value

Returns a single numeric value.

See Also

Other FuzzyNumber-method: Arithmetic, FuzzyNumber-class, FuzzyNumber, alphaInterval, alphacut, ambiguity, as.FuzzyNumber, as.PiecewiseLinearFuzzyNumber, as.PowerFuzzyNumber, as.TrapezoidalFuzzyNumber, as.character, core, distance, evaluate, expectedInterval, expectedValue, piecewiseLinearApproximation, plot, show, supp, trapezoidalApproximation, value, weightedExpectedValue, width

Other DiscontinuousFuzzyNumber-method: DiscontinuousFuzzyNumber-class, DiscontinuousFuzzyNumber, distance, plot