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 FuzzyNumber
weightedExpectedValue(object, w=0.5, ...)a fuzzy number
additional arguments passed to expectedInterval
a single numeric value in [0,1]
Returns a single numeric value.
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.
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