FuzzyNumbers (version 0.4-6)

width: Calculate the Width of a Fuzzy Number

Description

The width (Chanas, 2001) is a measure of nonspecificity of a fuzzy number.

Usage

# S4 method for FuzzyNumber
width(object, ...)

Arguments

object

a fuzzy number

...

additional arguments passed to expectedInterval

Value

Returns a single numeric value.

Details

The width of \(A\) is defined as \(width(A) := EI_U(A) - EI_L(A)\), where \(EI\) is the expectedInterval.

References

Chanas S. (2001), On the interval approximation of a fuzzy number, Fuzzy Sets and Systems 122, pp. 353-356.

See Also

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

Other characteristics: ambiguity, expectedValue, value, weightedExpectedValue