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SAFD (version 0.3)

Statistical Analysis of Fuzzy Data

Description

The aim of the package is to provide some basic functions for doing statistics with one dimensional Fuzzy Data (in the form of polygonal fuzzy numbers). In particular, the package contains functions for the basic operations on the class of fuzzy numbers (sum, scalar product, mean, Hukuhara difference, quantiles) as well as for calculating (Bertoluzza) distance, sample variance, sample covariance, sample correlation, and the Dempster-Shafer (levelwise) histogram. Moreover a function to simulate fuzzy random variables, bootstrap tests for the equality of means, and a function to do linear regression given trapezoidal fuzzy data is included. Version 0.3 fixes some bugs of version 0.2 and includes an additional function to calculate quantiles of samples of polygonal fuzzy numbers.

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Version

Install

install.packages('SAFD')

Monthly Downloads

160

Version

0.3

License

GPL (>= 2)

Maintainer

Wolfgang Trutschnig

Last Published

May 10th, 2011

Functions in SAFD (0.3)

SAFD-package

Statistical Analysis of Fuzzy Data
decomposer

Decomposer
translator

Translator
sc_mult

Minkowski scalar multiplication
hukuhara

Hukuhara Difference
Fmedian

Median of a fuzzy sample
checking

Checking correct data format
checking2

Checking correct data format (weak version)
Bcor

(Sample) correlation
btest2.mean

Two-sample bootstrap test on the equality of mean of two FRVs
DShistogram

Levelwise Dempster-Shafer Histogram
btest.mean

One-sample bootstrap test for the mean of a FRV
bertoluzza

Bertoluzza distance
Bcov

(Sample) Covariance
defuzzify

Defuzzification
lrmodel

Linear Regression model
Mmean

Minkowski mean
generator

Simulation of fuzzy random variables (FRV)
Msum

Minkowski sum
XX

Example data
btestk.mean

Multi-sample bootstrap test for the equality of the mean of FRVs
DSfrequency

Levelwise Dempster-Shafer frequency
Bvar

(Sample) Variance
Fquantile

Quantiles of a fuzzy sample
Trees

Tree dataset