FuzzyNumbers (version 0.4-6)

possibilityUndervaluation: Possibility of undervaluation

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 PiecewiseLinearFuzzyNumber,PiecewiseLinearFuzzyNumber
possibilityUndervaluation(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, possibilityExceedance, possibilityStrictExceedance, possibilityStrictUndervaluation

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, necessityUndervaluation, plot, possibilityExceedance, possibilityStrictExceedance, possibilityStrictUndervaluation

Examples

# NOT RUN {
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)
possibilityUndervaluation(a,b)
# }