# Rho1Tra: 1-norm distance between trapezoidal fuzzy numbers In FuzzyStatTra: Statistical Methods for Trapezoidal Fuzzy Numbers

## Description

This function calculates the 1-norm distance between the trapezoidal fuzzy numbers contained in two matrixes, which should be given in the desired format. For this, the function first checks if the input matrixes R and S are in the correct form (tested by checkingTra).

## Usage

 1 Rho1Tra(R, S) 

## Arguments

 R matrix of dimension r x 4 containing r trapezoidal fuzzy numbers characterized by their four values inf0,inf1,sup1,sup0. The function first calls checkingTra to check if the matrix R has the correct format. S matrix of dimension s x 4 containing s trapezoidal fuzzy numbers characterized by their four values inf0,inf1,sup1,sup0. The function first calls checkingTra to check if the matrix S has the correct format.

See examples

## Value

The function returns a matrix of dimension r x s containing the 1-norm distances between the trapezoidal fuzzy numbers of the matrix R and the trapezoidal fuzzy numbers of the matrix S.

## Note

In case you find (almost surely existing) bugs or have recommendations for improving the functions comments are welcome to the above mentioned mail addresses.

## Author(s)

Asun Lubiano <lubiano@uniovi.es>, Sara de la Rosa de Saa <rosasara@uniovi.es>

checkingTra, Rho1
 1 2 3 4 5 6 7 8 9 # Example 1: F=SimulCASE2(4) S=SimulCASE3(5) Rho1Tra(F,S) # Example 2: F=matrix(c(1,1,0,2,3,4,5,6),nrow=2) S=SimulCASE3(5) Rho1Tra(F,S)