alphacut-methods: Compute Alpha-Cuts

In gagolews/FuzzyNumbers: Tools to Deal with Fuzzy Numbers

Description

If A is a fuzzy number, then its α-cuts are always in form of intervals. Moreover, the α-cuts form a nonincreasing chain w.r.t. alpha.

Usage

## S4 method for signature 'FuzzyNumber,numeric'
alphacut(object, alpha)

Arguments

object	a fuzzy number
alpha	numeric vector with elements in [0,1]

Value

Returns a matrix with two columns (left and right alha cut bounds). if some elements in alpha are not in [0,1], then NA is set.

See Also

Other FuzzyNumber-method: Arithmetic, Extract, FuzzyNumber-class, FuzzyNumber, alphaInterval(), ambiguity(), as.FuzzyNumber(), as.PiecewiseLinearFuzzyNumber(), as.PowerFuzzyNumber(), as.TrapezoidalFuzzyNumber(), as.character(), core(), distance(), evaluate(), expectedInterval(), expectedValue(), integrateAlpha(), piecewiseLinearApproximation(), plot(), show(), supp(), trapezoidalApproximation(), value(), weightedExpectedValue(), width()

Other alpha_cuts: core(), supp()

Examples

A <- TrapezoidalFuzzyNumber(1, 2, 3, 4)
alphacut(A, c(-1, 0.4, 0.2))

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