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,
Extract,
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()