width-methods: Calculate the Width of a Fuzzy Number

In FuzzyNumbers: Tools to Deal with Fuzzy Numbers

Description

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

Usage

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

Arguments

object	a fuzzy number
...	additional arguments passed to expectedInterval

Details

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

Value

Returns a single numeric value.

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, Extract, 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()

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