value-methods: Calculate the Value of a Fuzzy Number

In Rexamine/FuzzyNumbers: Tools to Deal with Fuzzy Numbers

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, 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(), weightedExpectedValue(), width()

Other deffuzification: expectedValue(), weightedExpectedValue()

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

Rexamine/FuzzyNumbers documentation built on Nov. 16, 2021, 10:04 a.m.