Description Usage Arguments Details Value References See Also Examples
Determines maximum fuzzy number based on two inputs.
1 2 3 | ## S4 method for signature
## 'PiecewiseLinearFuzzyNumber,PiecewiseLinearFuzzyNumber'
maximum(e1, e2)
|
e1 |
a PiecewiseLinearFuzzyNumber |
e2 |
a PiecewiseLinearFuzzyNumber |
The resulting PiecewiseLinearFuzzyNumber is only an approximation of the result it might not be very precise for small number of knots (see examples).
Returns a PiecewiseLinearFuzzyNumber representing maximal value of the inputs.
KAUFMANN, A., GUPTA, M. M. (1985) Introduction to Fuzzy Arithmetic. New York : Van Nostrand Reinhold Company. ISBN 044230079.
Other min_max-operators:
minimum()
Other PiecewiseLinearFuzzyNumber-method:
Arithmetic
,
Extract
,
PiecewiseLinearFuzzyNumber-class
,
PiecewiseLinearFuzzyNumber
,
^,PiecewiseLinearFuzzyNumber,numeric-method
,
alphaInterval()
,
arctan2()
,
as.PiecewiseLinearFuzzyNumber()
,
as.PowerFuzzyNumber()
,
as.TrapezoidalFuzzyNumber()
,
as.character()
,
expectedInterval()
,
fapply()
,
minimum()
,
necessityExceedance()
,
necessityStrictExceedance()
,
necessityStrictUndervaluation()
,
necessityUndervaluation()
,
plot()
,
possibilityExceedance()
,
possibilityStrictExceedance()
,
possibilityStrictUndervaluation()
,
possibilityUndervaluation()
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 | # example with low number of knots, showing the approximate nature
# of the result
x = as.PiecewiseLinearFuzzyNumber(TriangularFuzzyNumber(-4.8, -3 , -1.5))
y = as.PiecewiseLinearFuzzyNumber(TriangularFuzzyNumber(-5.5, -2.5, -1.1))
maxFN = maximum(x,y)
min = min(alphacut(x,0)[1],alphacut(y,0)[1])
max = max(alphacut(x,0)[2],alphacut(y,0)[2])
plot(x, col="red", xlim=c(min,max))
plot(y, col="blue", add=TRUE)
plot(maxFN, col="green", add=TRUE)
# example with high number of knots, that does not suffer
# from the approximate nature of the result
x = as.PiecewiseLinearFuzzyNumber(TriangularFuzzyNumber(-4.8, -3 , -1.5), knot.n = 9)
y = as.PiecewiseLinearFuzzyNumber(TriangularFuzzyNumber(-5.5, -2.5, -1.1), knot.n = 9)
maxFN = maximum(x,y)
min = min(alphacut(x,0)[1],alphacut(y,0)[1])
max = max(alphacut(x,0)[2],alphacut(y,0)[2])
plot(x, col="red", xlim=c(min,max))
plot(y, col="blue", add=TRUE)
plot(maxFN, col="green", add=TRUE)
|
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