Compute Alpha-Cuts
If A is a fuzzy number, then its α-cuts are always in form of intervals. Moreover, the α-cuts form a nonincreasing chain w.r.t. alpha.
## S4 method for signature 'FuzzyNumber,numeric' alphacut(object, alpha)
object |
a fuzzy number |
alpha |
numeric vector with elements in [0,1] |
Returns a matrix with two columns (left and right alha cut bounds).
if some elements in alpha are not in [0,1], then NA
is set.
Other FuzzyNumber-method: Arithmetic,
FuzzyNumber-class,
FuzzyNumber, alphaInterval,
ambiguity, as.FuzzyNumber,
as.PiecewiseLinearFuzzyNumber,
as.PowerFuzzyNumber,
as.TrapezoidalFuzzyNumber,
as.character, core,
distance, evaluate,
expectedInterval,
expectedValue,
integrateAlpha,
piecewiseLinearApproximation,
plot, show,
supp,
trapezoidalApproximation,
value, weightedExpectedValue,
width
A <- TrapezoidalFuzzyNumber(1, 2, 3, 4) alphacut(A, c(-1, 0.4, 0.2))
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