ambiguity-methods: Calculate the Ambiguity of a Fuzzy Number

In gagolews/FuzzyNumbers: Tools to Deal with Fuzzy Numbers

Description

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

Usage

## 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, Extract, 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()

gagolews/FuzzyNumbers documentation built on Nov. 17, 2021, 6:44 a.m.