pow-PiecewiseLinearFuzzyNumber-numeric-method: Integer power of fuzzy number

In FuzzyNumbers: Tools to Deal with Fuzzy Numbers

Description

For fuzzy numbers the equality of X*X == X^2 does not hold.

Usage

## S4 method for signature 'PiecewiseLinearFuzzyNumber,numeric'
e1 ^ e2

Arguments

e1	a PiecewiseLinearFuzzyNumber
e2	numeric (if it is not integer it will be converted by function as.integer())

Details

This function calculates integer power of a PiecewiseLinearFuzzyNumber according to the reference below.

Value

Returns a fuzzy number of the class PiecewiseLinearFuzzyNumber indicating e1^e2.

References

KAUFMANN, A., GUPTA, M. M. (1985) Introduction to Fuzzy Arithmetic. New York : Van Nostrand Reinhold Company. ISBN 044230079.

See Also

Other extension_principle: Arithmetic, fapply()

Other PiecewiseLinearFuzzyNumber-method: Arithmetic, Extract, PiecewiseLinearFuzzyNumber-class, PiecewiseLinearFuzzyNumber, alphaInterval(), arctan2(), as.PiecewiseLinearFuzzyNumber(), as.PowerFuzzyNumber(), as.TrapezoidalFuzzyNumber(), as.character(), expectedInterval(), fapply(), maximum(), minimum(), necessityExceedance(), necessityStrictExceedance(), necessityStrictUndervaluation(), necessityUndervaluation(), plot(), possibilityExceedance(), possibilityStrictExceedance(), possibilityStrictUndervaluation(), possibilityUndervaluation()

Examples

x = as.PiecewiseLinearFuzzyNumber(TriangularFuzzyNumber(-2, 1, 9), knot.n = 2)
x^2
x^3

Example output

Piecewise linear fuzzy number with 2 knot(s),
   support=[0,81],
      core=[1,1].
Piecewise linear fuzzy number with 2 knot(s),
   support=[-8,729],
      core=[1,1].

FuzzyNumbers documentation built on Nov. 15, 2021, 5:09 p.m.