necessityStrictUndervaluation: Necessity of strict undervaluation

In FuzzyNumbers: Tools to Deal with Fuzzy Numbers

Description

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.

Usage

## S4 method for signature 
## 'PiecewiseLinearFuzzyNumber,PiecewiseLinearFuzzyNumber'
necessityStrictUndervaluation(e1, e2)

Arguments

e1	a PiecewiseLinearFuzzyNumber
e2	a PiecewiseLinearFuzzyNumber

Value

Returns a value from range [0,1] indicating the necessity 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(), necessityUndervaluation(), possibilityExceedance(), 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(), necessityUndervaluation(), plot(), possibilityExceedance(), possibilityStrictExceedance(), possibilityStrictUndervaluation(), possibilityUndervaluation()

Examples

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)
necessityStrictUndervaluation(a,b)

Example output

[1] 0.2222222

FuzzyNumbers documentation built on Nov. 15, 2021, 5:09 p.m.