# DiscontinuousFuzzyNumber: Creates a Fuzzy Number with Possibly Discontinuous Side... In FuzzyNumbers: Tools to Deal with Fuzzy Numbers

## Description

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

## Usage

 ``` 1 2 3 4 5 6 7 8 9 10 11 12 13 14``` ```DiscontinuousFuzzyNumber( a1, a2, a3, a4, lower = function(a) rep(NA_real_, length(a)), upper = function(a) rep(NA_real_, length(a)), left = function(x) rep(NA_real_, length(x)), right = function(x) rep(NA_real_, length(x)), discontinuities.left = numeric(0), discontinuities.right = numeric(0), discontinuities.lower = numeric(0), discontinuities.upper = 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 `lower` lower alpha-cut bound generator; a nondecreasing function [0,1]->[0,1] or returning NA_real_ `upper` upper alpha-cut bound generator; a nonincreasing function [0,1]->[1,0] or returning NA_real_ `left` lower side function generator; a nondecreasing function [0,1]->[0,1] or returning NA_real_ `right` upper side function generator; a nonincreasing function [0,1]->[1,0] or returning NA_real_ `discontinuities.left` nondecreasingly sorted numeric vector with elements in (0,1), possibly of length 0 `discontinuities.right` nondecreasingly sorted numeric vector with elements in (0,1), possibly of length 0 `discontinuities.lower` nondecreasingly sorted numeric vector with elements in (0,1), possibly of length 0 `discontinuities.upper` nondecreasingly sorted numeric vector with elements in (0,1), possibly of length 0

## Value

Object of class `DiscontinuousFuzzyNumber`

Other DiscontinuousFuzzyNumber-method: `DiscontinuousFuzzyNumber-class`, `Extract`, `distance()`, `integrateAlpha()`, `plot()`

FuzzyNumbers documentation built on Nov. 15, 2021, 5:09 p.m.