width {FuzzyNumbers} | R Documentation |
Calculate the Width of a Fuzzy Number
Description
The width (Chanas, 2001) is a measure of nonspecificity of a fuzzy number.
Usage
## S4 method for signature 'FuzzyNumber'
width(object, ...)
Arguments
object |
a fuzzy number |
... |
additional arguments passed to |
Details
The width of A
is defined as
width(A) := EI_U(A) - EI_L(A)
,
where EI
is the expectedInterval
.
Value
Returns a single numeric value.
References
Chanas S. (2001), On the interval approximation of a fuzzy number, Fuzzy Sets and Systems 122, pp. 353-356.
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()
,
weightedExpectedValue()
Other characteristics:
ambiguity()
,
expectedValue()
,
value()
,
weightedExpectedValue()