ambiguity-methods: Calculate the Ambiguity of a Fuzzy Number

Description Usage Arguments Details Value References See Also

Description

The ambiguity (Delgado et al, 1998) is a measure of nonspecificity of a fuzzy number.

Usage

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## S4 method for signature 'FuzzyNumber'
ambiguity(object, ...)

Arguments

object

a fuzzy number

...

additional arguments passed to alphaInterval

Details

The ambiguity is defined as val(A) := int_0^1 α(A_U(α) - A_L(α))dα.

Value

Returns a single numeric value.

References

Delgado M., Vila M.A., Voxman W. (1998), On a canonical representation of a fuzzy number, Fuzzy Sets and Systems 93, pp. 125-135.

See Also

Other FuzzyNumber-method: Arithmetic, FuzzyNumber-class, FuzzyNumber, alphaInterval, alphacut, as.FuzzyNumber, as.PiecewiseLinearFuzzyNumber, as.PowerFuzzyNumber, as.TrapezoidalFuzzyNumber, as.character, core, distance, evaluate, expectedInterval, expectedValue, integrateAlpha, piecewiseLinearApproximation, plot, show, supp, trapezoidalApproximation, value, weightedExpectedValue, width

Other characteristics: expectedValue, value, weightedExpectedValue, width


FuzzyNumbers documentation built on Feb. 14, 2018, 5:03 p.m.