| weightedExpectedValue {FuzzyNumbers} | R Documentation |
Calculate the Weighted Expected Value of a Fuzzy Number
Description
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.
Usage
## S4 method for signature 'FuzzyNumber'
weightedExpectedValue(object, w=0.5, ...)
Arguments
object |
a fuzzy number |
... |
additional arguments passed to |
w |
a single numeric value in [0,1] |
Details
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.
Value
Returns a single numeric value.
See Also
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()