| ^,PiecewiseLinearFuzzyNumber,numeric-method {FuzzyNumbers} | R Documentation |
Integer power of fuzzy number
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