# SAFD: Statistical Analysis of Fuzzy Data

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, median, Hukuhara difference) as well as for calculating (Bertoluzza) distance, sample variance, sample covariance, 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 1.0 fixes some bugs of previous versions.

- Author
- Wolfgang Trutschnig <wolfgang@trutschnig.net>, Asun Lubiano <lubiano@uniovi.es>
- Date of publication
- 2015-12-11 13:54:16
- Maintainer
- Asun Lubiano <lubiano@uniovi.es>
- License
- GPL (>= 2)
- Version
- 1.0-1

## Man pages

- Bcov
- (Sample) Covariance
- bertoluzza
- Bertoluzza distance
- btest2.mean
- Two-sample bootstrap test on the equality of mean of two FRVs
- btestk.mean
- Multi-sample bootstrap test for the equality of the mean of...
- btest.mean
- One-sample bootstrap test for the mean of a FRV
- Bvar
- (Sample) Variance
- checking
- Checking correct data format
- checking2
- Checking correct data format (weak version)
- decomposer
- Decomposer
- defuzzify
- Defuzzification
- DSfrequency
- Levelwise Dempster-Shafer frequency
- DShistogram
- Levelwise Dempster-Shafer Histogram
- Fmedian
- Median of a fuzzy sample
- generator
- Simulation of fuzzy random variables (FRV)
- hukuhara
- Hukuhara Difference
- lrmodel
- Linear Regression model
- Mmean
- Minkowski mean
- Msum
- Minkowski sum
- quality
- Quality dataset
- SAFD-package
- Statistical Analysis of Fuzzy Data
- sc_mult
- Minkowski scalar multiplication
- translator
- Translator
- Trees
- Tree dataset
- XX
- Example data

## Files in this package

SAFD |

SAFD/NAMESPACE |

SAFD/data |

SAFD/data/XX.rda |

SAFD/data/Trees.rda |

SAFD/data/quality.rda |

SAFD/R |

SAFD/R/checking.R |

SAFD/R/DShistogram.R |

SAFD/R/btest2.mean.R |

SAFD/R/btest.mean.R |

SAFD/R/Msum.R |

SAFD/R/hukuhara.R |

SAFD/R/Bcov.R |

SAFD/R/btestk.mean.R |

SAFD/R/lrmodel.R |

SAFD/R/Bvar.R |

SAFD/R/decomposer.R |

SAFD/R/defuzzify.R |

SAFD/R/translator.R |

SAFD/R/Fmedian.R |

SAFD/R/generator.R |

SAFD/R/sc_mult.R |

SAFD/R/DSfrequency.R |

SAFD/R/checking2.R |

SAFD/R/bertoluzza.R |

SAFD/R/Mmean.R |

SAFD/MD5 |

SAFD/DESCRIPTION |

SAFD/man |

SAFD/man/hukuhara.Rd |

SAFD/man/translator.Rd |

SAFD/man/Msum.Rd |

SAFD/man/Trees.Rd |

SAFD/man/btest2.mean.Rd |

SAFD/man/Fmedian.Rd |

SAFD/man/Mmean.Rd |

SAFD/man/SAFD-package.Rd |

SAFD/man/defuzzify.Rd |

SAFD/man/Bvar.Rd |

SAFD/man/DSfrequency.Rd |

SAFD/man/checking.Rd |

SAFD/man/XX.Rd |

SAFD/man/Bcov.Rd |

SAFD/man/sc_mult.Rd |

SAFD/man/decomposer.Rd |

SAFD/man/generator.Rd |

SAFD/man/DShistogram.Rd |

SAFD/man/checking2.Rd |

SAFD/man/bertoluzza.Rd |

SAFD/man/lrmodel.Rd |

SAFD/man/btest.mean.Rd |

SAFD/man/quality.Rd |

SAFD/man/btestk.mean.Rd |