The calculation of the so-called value is one of possible methods to deffuzify a fuzzy number.
# S4 method for FuzzyNumber
value(object, ...)a fuzzy number
additional arguments passed to alphaInterval
Returns a single numeric value.
The value of \(A\) (Delgrado et al, 1998) is defined as \(val(A) := \int_0^1 \alpha\left(A_L(\alpha)+A_U(\alpha)\right)\,d\alpha\).
Delgado M., Vila M.A., Voxman W. (1998), On a canonical representation of a fuzzy number, Fuzzy Sets and Systems 93, pp. 125-135.
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(),
weightedExpectedValue(),
width()
Other deffuzification:
expectedValue(),
weightedExpectedValue()
Other characteristics:
ambiguity(),
expectedValue(),
weightedExpectedValue(),
width()