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alphaInterval-methods

Compute the Alpha-Interval of a Fuzzy Number


Description

We have α-Int(A) := [int_0^1 α A_L(α) dα, int_0^1 α A_U(α) dα].

Usage

## 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)

Arguments

object

a fuzzy number

...

for FuzzyNumber and DiscontinuousFuzzyNumber - additional arguments passed to integrateAlpha

Details

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.

Value

Returns numeric vector of length 2.

See Also


FuzzyNumbers

Tools to Deal with Fuzzy Numbers

v0.4-6
LGPL (>= 3)
Authors
Marek Gagolewski [aut, cre], Jan Caha [ctb]
Initial release
2019-02-05

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