Calculate the Ambiguity of a Fuzzy Number
The ambiguity (Delgado et al, 1998) is a measure of nonspecificity of a fuzzy number.
## S4 method for signature 'FuzzyNumber' ambiguity(object, ...)
object |
a fuzzy number |
... |
additional arguments passed to |
The ambiguity is defined as val(A) := int_0^1 α(A_U(α) - A_L(α))dα.
Returns a single numeric value.
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, as.FuzzyNumber,
as.PiecewiseLinearFuzzyNumber,
as.PowerFuzzyNumber,
as.TrapezoidalFuzzyNumber,
as.character, core,
distance, evaluate,
expectedInterval,
expectedValue,
integrateAlpha,
piecewiseLinearApproximation,
plot, show,
supp,
trapezoidalApproximation,
value, weightedExpectedValue,
width
Other characteristics: expectedValue,
value, weightedExpectedValue,
width
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