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

In gagolews/FuzzyNumbers: Tools to Deal with Fuzzy Numbers

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

## 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, 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(), width()

Other deffuzification: expectedValue(), value()

Other characteristics: ambiguity(), expectedValue(), value(), width()

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