Necessity of undervaluation
Determines value of necessity of e1<=e2, the result is from range [0,1]. Value 0 indicates no fulfilment of the operator and 1 indicates complete fulfilment.
## S4 method for signature ## 'PiecewiseLinearFuzzyNumber,PiecewiseLinearFuzzyNumber' necessityUndervaluation(e1, e2)
e1 |
a PiecewiseLinearFuzzyNumber |
e2 |
a PiecewiseLinearFuzzyNumber |
Returns a value from range [0,1] indicating the necessity of exceedance of e2 by e1.
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.
Other PiecewiseLinearFuzzyNumber-method: Arithmetic,
PiecewiseLinearFuzzyNumber-class,
PiecewiseLinearFuzzyNumber,
^,PiecewiseLinearFuzzyNumber,numeric-method,
alphaInterval, arctan2,
as.PiecewiseLinearFuzzyNumber,
as.PowerFuzzyNumber,
as.TrapezoidalFuzzyNumber,
as.character,
expectedInterval, fapply,
maximum, minimum,
necessityExceedance,
necessityStrictExceedance,
necessityStrictUndervaluation,
plot, possibilityExceedance,
possibilityStrictExceedance,
possibilityStrictUndervaluation,
possibilityUndervaluation
a <- TriangularFuzzyNumber(0.2, 1.0, 2.8) b <- TriangularFuzzyNumber(0, 1.8, 2.2) a <- as.PiecewiseLinearFuzzyNumber(a, knot.n = 9) b <- as.PiecewiseLinearFuzzyNumber(b, knot.n = 9) necessityUndervaluation(a,b)
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