The width (Chanas, 2001) is a measure of nonspecificity of a fuzzy number.
# S4 method for FuzzyNumber
width(object, ...)a fuzzy number
additional arguments passed to expectedInterval
Returns a single numeric value.
The width of \(A\) is defined as
\(width(A) := EI_U(A) - EI_L(A)\),
where \(EI\) is the expectedInterval.
Chanas S. (2001), On the interval approximation of a fuzzy number, Fuzzy Sets and Systems 122, pp. 353-356.
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(),
weightedExpectedValue()
Other characteristics:
ambiguity(),
expectedValue(),
value(),
weightedExpectedValue()