weightedExpectedValue-methods: Calculate the Weighted Expected Value of a Fuzzy Number

Description Usage Arguments Details Value See Also

Description

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

For w=0.5 we get the ordinary expectedValue.

Usage

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## S4 method for signature 'FuzzyNumber'
weightedExpectedValue(object, w=0.5, ...)

Arguments

object

a fuzzy number

...

additional arguments passed to expectedInterval

w

a single numeric value in [0,1]

Details

The weighted expected value of A is defined as EV_w(A) := (1-w) EI_L(A) + w EI_U(A), where EI is the expectedInterval.

Value

Returns a single numeric value.

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, width

Other characteristics: ambiguity, expectedValue, value, width

Other deffuzification: expectedValue, value


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