FuzzyNumbers (version 0.4-7)

PowerFuzzyNumber-class: S4 class Representing a Fuzzy Number with Sides Given by Power Functions

Description

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.

Slots

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.

Extends

Class '>FuzzyNumber, directly.

Details

We have \(\mathtt{left}(x)=x^{\mathtt{p.left}}\), and \(\mathtt{right}(x)=(1-x)^{\mathtt{p.right}}\).

This class is a natural generalization of trapezoidal FNs. For other see '>PiecewiseLinearFuzzyNumber.

References

Bodjanova S. (2005), Median value and median interval of a fuzzy number, Information Sciences 172, pp. 73-89.

See Also

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()

Examples

# NOT RUN {
showClass("PowerFuzzyNumber")
showMethods(classes="PowerFuzzyNumber")
# }