| possibilityExceedance {FuzzyNumbers} | R Documentation |
Possibility of exceedance
Description
Determines value of possibility of e1>=e2, the result is from
range [0,1]. Value 0 indicates no fulfilment of the operator
and 1 indicates complete fulfilment.
Usage
## S4 method for signature
## 'PiecewiseLinearFuzzyNumber,PiecewiseLinearFuzzyNumber'
possibilityExceedance(e1, e2)
Arguments
e1 |
a PiecewiseLinearFuzzyNumber |
e2 |
a PiecewiseLinearFuzzyNumber |
Value
Returns a value from range [0,1] indicating the possibility of exceedance of e2 by e1.
References
DUBOIS, Didier and PRADE, Henri, 1983, Ranking Fuzzy Numbers in the Setting of Possibility Theory. Information Sciences. 1983. Vol. 30, no. 3, p. 183–224.
See Also
Other comparison-operators:
necessityExceedance(),
necessityStrictExceedance(),
necessityStrictUndervaluation(),
necessityUndervaluation(),
possibilityStrictExceedance(),
possibilityStrictUndervaluation(),
possibilityUndervaluation()
Other PiecewiseLinearFuzzyNumber-method:
Arithmetic,
Extract,
PiecewiseLinearFuzzyNumber-class,
PiecewiseLinearFuzzyNumber,
^,PiecewiseLinearFuzzyNumber,numeric-method,
alphaInterval(),
arctan2(),
as.PiecewiseLinearFuzzyNumber(),
as.PowerFuzzyNumber(),
as.TrapezoidalFuzzyNumber(),
as.character(),
expectedInterval(),
fapply(),
maximum(),
minimum(),
necessityExceedance(),
necessityStrictExceedance(),
necessityStrictUndervaluation(),
necessityUndervaluation(),
plot(),
possibilityStrictExceedance(),
possibilityStrictUndervaluation(),
possibilityUndervaluation()
Examples
a <- TriangularFuzzyNumber(2, 3, 5)
b <- TriangularFuzzyNumber(1.5, 4, 4.8)
a <- as.PiecewiseLinearFuzzyNumber(a, knot.n = 9)
b <- as.PiecewiseLinearFuzzyNumber(b, knot.n = 9)
possibilityExceedance(a,b)