FuzzyNumbers (version 0.4-6)

expectedValue: Calculate the Expected Value of a Fuzzy Number

Description

The calculation of the so-called expected value is one of possible methods to deffuzify a fuzzy number.

Usage

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

Arguments

object

a fuzzy number

...

additional arguments passed to expectedInterval

Value

Returns a single numeric value.

Details

The expected value of \(A\) is defined as \(EV(A) := (EI_U(A) + EI_L(A))/2\), where \(EI\) is the expectedInterval.

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, integrateAlpha, piecewiseLinearApproximation, plot, show, supp, trapezoidalApproximation, value, weightedExpectedValue, width

Other deffuzification: value, weightedExpectedValue

Other characteristics: ambiguity, value, weightedExpectedValue, width