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,
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