# HyperI: Hyperbolic inequality index of a trapezoidal positive fuzzy... In FuzzyStatTra: Statistical Methods for Trapezoidal Fuzzy Numbers

## Description

This function calculates the hyperbolic inequality index for a sample of trapezoidal positive fuzzy numbers contained in a matrix F. The function first checks if the input matrix F is given in the correct form (tested by checkingTra).

## Usage

 1 HyperI(F, c = 0) 

## Arguments

 F matrix of dimension n x 4 containing n trapezoidal positive fuzzy numbers characterized by their four values inf0,inf1,sup1,sup0. The function implicitly checks if the matrix is in the correct form (tested by checkingTra). c number in [0,0.5]. The c*100% trimmed mean will be used in the calculation of the hyperbolic inequality index.

See examples

## Value

The function returns the hyperbolic inequality index, which is a real number.

## 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>

## References

 Lubiano, M.A.; Gil, M.A.: f-Inequality indices for fuzzy random variables, in Statistical Modeling, Analysis and Management of Fuzzy Data (Bertoluzza, C., Gil, M.A., Ralescu, D.A., Eds.), Physica-Verlag, pp. 43-63 (2002)

 De la Rosa de Saa, S.; Gil, M.A.; Gonzalez-Rodriguez, G.; Lopez, M.T.; Lubiano M.A.: Fuzzy rating scale-based questionnaires and their statistical analysis, IEEE Trans. Fuzzy Syst. 23(1), pp. 111-126 (2015)

checkingTra

## Examples

 1 2 3 4 5 6 7 # Example 1: F=SimulFRSTra(100,6,0.05,0.35,0.6,2,1) HyperI(F) # Example 2: F=SimulCASE2(10) HyperI(F,0.5) 

### Example output

 0.08713822
 "all the fuzzy numbers should be positive"


FuzzyStatTra documentation built on May 2, 2019, 10:59 a.m.