FuzzyNumbers - Online Manual

value {FuzzyNumbers}R Documentation

Calculate the Value of a Fuzzy Number

Description

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

Usage

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

Arguments

object

a fuzzy number

...

additional arguments passed to alphaInterval

Details

The value of A (Delgrado et al, 1998) is defined as val(A) := int_0^1 α(A_L(α) + A_U(α))dα.

Value

Returns a single numeric value.

References

Delgado M., Vila M.A., Voxman W. (1998), On a canonical representation of a fuzzy number, Fuzzy Sets and Systems 93, pp. 125-135.

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, weightedExpectedValue, width

Other characteristics: ambiguity, expectedValue, weightedExpectedValue, width

Other deffuzification: expectedValue, weightedExpectedValue


[Package FuzzyNumbers version 0.4-1 Index]