Integer power of fuzzy number
For fuzzy numbers the equality of X*X == X^2 does not hold.
## S4 method for signature 'PiecewiseLinearFuzzyNumber,numeric' e1 ^ e2
e1 |
a PiecewiseLinearFuzzyNumber |
e2 |
numeric (if it is not integer it will be converted by function as.integer()) |
This function calculates integer power of a PiecewiseLinearFuzzyNumber according to the reference below.
Returns a fuzzy number of the class PiecewiseLinearFuzzyNumber
indicating e1^e2.
KAUFMANN, A., GUPTA, M. M. (1985) Introduction to Fuzzy Arithmetic. New York : Van Nostrand Reinhold Company. ISBN 044230079.
Other extension_principle: Arithmetic,
fapply
Other PiecewiseLinearFuzzyNumber-method: Arithmetic,
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
x = as.PiecewiseLinearFuzzyNumber(TriangularFuzzyNumber(-2, 1, 9), knot.n = 2) x^2 x^3
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