Calculate the Weighted Expected Value of a Fuzzy Number
The calculation of the so-called weighted expected value is one of possible methods to deffuzify a fuzzy number.
For w=0.5 we get the ordinary expectedValue.
## S4 method for signature 'FuzzyNumber' weightedExpectedValue(object, w=0.5, ...)
object |
a fuzzy number |
... |
additional arguments passed to |
w |
a single numeric value in [0,1] |
The weighted expected value of A is defined as
EV_w(A) := (1-w) EI_L(A) + w EI_U(A),
where EI is the expectedInterval.
Returns a single numeric value.
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,
integrateAlpha,
piecewiseLinearApproximation,
plot, show,
supp,
trapezoidalApproximation,
value, width
Other deffuzification: expectedValue,
value
Other characteristics: ambiguity,
expectedValue, value,
width
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