Description Usage Arguments Details Value See Also
We have α-Int(A) := [int_0^1 α A_L(α) dα, int_0^1 α A_U(α) dα].
1 2 3 4 5 6 7 8 9 10 11 | ## S4 method for signature 'FuzzyNumber'
alphaInterval(object, ...)
## S4 method for signature 'TrapezoidalFuzzyNumber'
alphaInterval(object)
## S4 method for signature 'PiecewiseLinearFuzzyNumber'
alphaInterval(object)
## S4 method for signature 'PowerFuzzyNumber'
alphaInterval(object)
|
object |
a fuzzy number |
... |
for |
Note that if an instance of the FuzzyNumber
or
DiscontinuousFuzzyNumber
class
is given, the calculation is performed via numerical integration.
Otherwise, the computation is exact.
Returns numeric vector of length 2.
Other FuzzyNumber-method:
Arithmetic
,
Extract
,
FuzzyNumber-class
,
FuzzyNumber
,
alphacut()
,
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()
Other TrapezoidalFuzzyNumber-method:
Arithmetic
,
TrapezoidalFuzzyNumber-class
,
TrapezoidalFuzzyNumber
,
TriangularFuzzyNumber()
,
as.PiecewiseLinearFuzzyNumber()
,
as.PowerFuzzyNumber()
,
as.TrapezoidalFuzzyNumber()
,
expectedInterval()
,
plot()
Other PiecewiseLinearFuzzyNumber-method:
Arithmetic
,
Extract
,
PiecewiseLinearFuzzyNumber-class
,
PiecewiseLinearFuzzyNumber
,
^,PiecewiseLinearFuzzyNumber,numeric-method
,
arctan2()
,
as.PiecewiseLinearFuzzyNumber()
,
as.PowerFuzzyNumber()
,
as.TrapezoidalFuzzyNumber()
,
as.character()
,
expectedInterval()
,
fapply()
,
maximum()
,
minimum()
,
necessityExceedance()
,
necessityStrictExceedance()
,
necessityStrictUndervaluation()
,
necessityUndervaluation()
,
plot()
,
possibilityExceedance()
,
possibilityStrictExceedance()
,
possibilityStrictUndervaluation()
,
possibilityUndervaluation()
Other PowerFuzzyNumber-method:
Extract
,
PowerFuzzyNumber-class
,
PowerFuzzyNumber
,
as.PowerFuzzyNumber()
,
as.TrapezoidalFuzzyNumber()
,
as.character()
,
expectedInterval()
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