R: Creates a Piecewise Linear Fuzzy Number

PiecewiseLinearFuzzyNumber {FuzzyNumbers}

R Documentation

Creates a Piecewise Linear Fuzzy Number

Description

For convenience, objects of class PiecewiseLinearFuzzyNumber may be created with this function.

Usage

PiecewiseLinearFuzzyNumber(
  a1,
  a2,
  a3,
  a4,
  knot.n = 0,
  knot.alpha = numeric(0),
  knot.left = numeric(0),
  knot.right = numeric(0)
)

Arguments

`a1`	a number specyfing left bound of the support
`a2`	a number specyfing left bound of the core
`a3`	a number specyfing right bound of the core
`a4`	a number specyfing right bound of the support
`knot.n`	the number of knots
`knot.alpha`	`knot.n` alpha-cut values at knots
`knot.left`	`knot.n` knots on the left side; a nondecreasingly sorted vector with elements in [`a1`,`a2`]
`knot.right`	`knot.n` knots on the right side; a nondecreasingly sorted vector with elements in [`a3`,`a4`]

Details

If a1, a2, a3, and a4 are missing, then knot.left and knot.right may be of length knot.n+2.

If knot.n is not given, then it guessed from length(knot.left). If knot.alpha is missing, then the knots will be equally distributed on the interval [0,1].

Value

An object of class PiecewiseLinearFuzzyNumber.

Other PiecewiseLinearFuzzyNumber-method: Arithmetic, Extract, PiecewiseLinearFuzzyNumber-class, ^,PiecewiseLinearFuzzyNumber,numeric-method, alphaInterval(), arctan2(), as.PiecewiseLinearFuzzyNumber(), as.PowerFuzzyNumber(), as.TrapezoidalFuzzyNumber(), as.character(), expectedInterval(), fapply(), maximum(), minimum(), necessityExceedance(), necessityStrictExceedance(), necessityStrictUndervaluation(), necessityUndervaluation(), plot(), possibilityExceedance(), possibilityStrictExceedance(), possibilityStrictUndervaluation(), possibilityUndervaluation()