Description Details Slots Extends References See Also Examples
Bodjanova-type fuzzy numbers which sides are given by power functions
are defined using four coefficients
a1
<= a2
<= a3
<= a4
,
and parameters p.left
, p.right
>0, which determine
exponents for the side functions.
We have left(x)=x^p.left, and right(x)=(1-x)^p.right.
This class is a natural generalization of trapezoidal FNs. For other see PiecewiseLinearFuzzyNumber.
a1
, a2
, a3
, a4
,
lower
, upper
, left
, right
:Inherited from the FuzzyNumber
class.
p.left
:single numeric value; 1.0 for a trapezoidal FN.
p.right
:single numeric value; 1.0 for a trapezoidal FN.
Class FuzzyNumber
, directly.
Bodjanova S. (2005), Median value and median interval of a fuzzy number, Information Sciences 172, pp. 73-89.
PowerFuzzyNumber
for a convenient constructor,
as.PowerFuzzyNumber
for conversion of objects to this class.
PowerFuzzyNumber
for a convenient constructor
Other PowerFuzzyNumber-method:
Extract
,
PowerFuzzyNumber
,
alphaInterval()
,
as.PowerFuzzyNumber()
,
as.TrapezoidalFuzzyNumber()
,
as.character()
,
expectedInterval()
1 2 | showClass("PowerFuzzyNumber")
showMethods(classes="PowerFuzzyNumber")
|
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