R: Fuzzy Statistical Tools

# Fuzzy Statistical Tools

## Documentation for package ‘FuzzySTs’ version 0.5

- DESCRIPTION file
- User guides, package vignettes and other documentation
- Package NEWS
- Package README

## Help Pages

A B C D F G I K M N O P R S T W

## -- A --

adjusted.weight.MI | Calculates the adjusted weight for a given main-item of a linguistic questionnaire
adjusted.weight.SI | Calculates the adjusted weight for a given sub-item of a linguistic questionnaire

## -- B --

Bertoluzza | Calculates a distance by the d_Bertoluzza between fuzzy numbers
boot.mean.algo1 | Estimates the bootstrap distribution of the likelihood ratio LR by the Algorithm 1 using the mean
boot.mean.algo2 | Estimates the bootstrap distribution of the likelihood ratio LR by the Algorithm 2 using the mean
boot.mean.ml | Estimates the bootstrap distribution of the likelihood ratio LR by the Algorithm 1 or 2 using the mean

## -- C --

cube | Cube a number

## -- D --

D2 | Calculates a distance by the D2 between fuzzy numbers
Defuzz.FANOVA | Defuzzify the fuzzy sums of squares calculated by a FANOVA model by an exact calculation or an approximation
Delta.pq | Calculates a distance by the d_Delta.pq between fuzzy numbers
Delta_jki | Calculates the factor Delta_jki
distance | Calculates a distance between fuzzy numbers according to the chosen type
DSGD | Calculates a distance by the SGD between fuzzy numbers
DSGD.G | Calculates a distance by the d_DSGD.G between fuzzy numbers

## -- F --

FANOVA | Computes a FANOVA model by a convenient metric, an exact calculation or an approximation
FANOVA.approximation | Computes a FANOVA model by an approximation
FANOVA.distance | Computes a FANOVA model by a convenient metric
FANOVA.exact | Computes a FANOVA model by an exact calculation
FANOVA.summary | Prints the summary of the estimation of a FANOVA metric-based model
fci.ml | Estimates a fuzzy confidence interval by the Likelihood method
fci.ml.boot | Estimates a fuzzy confidence interval by the Likelihood method
FMANOVA | Computes a Mult-FANOVA model by a convenient metric, an exact calculation or an approximation
FMANOVA.approximation | Computes a Mult-FANOVA model by an approximation
FMANOVA.distance | Computes a Mult-FANOVA model by a convenient metric
FMANOVA.exact | Computes a Mult-FANOVA model by an exact calculation
FMANOVA.interaction.summary | Prints the summary of the estimation of the interaction in a Mult-FANOVA metric-based model
FMANOVA.summary | Prints the summary of the estimation of a Mult-FANOVA metric-based model
Ftests | Calculates multiple tests corresponding to the fuzzy response variable
FTukeyHSD | Calculates the Tukey HSD test corresponding to the fuzzy response variable
FUZZ | Fuzzifies a variable modelled by trapezoidal or triangular fuzzy numbers
Fuzzy.CI.ML.test | Computes a fuzzy inference test by the fuzzy confidence intervals method calculated by the Likelihood method
Fuzzy.CI.test | Computes a fuzzy inference test by the traditional fuzzy confidence intervals
Fuzzy.decisions | Computes the fuzzy decisions of a fuzzy inference test by the traditional fuzzy confidence intervals
Fuzzy.decisions.ML | Computes the fuzzy decisions of a fuzzy inference test by the fuzzy confidence intervals by the likelihood method
Fuzzy.Difference | Calculates the difference between two fuzzy numbers
Fuzzy.exact.variance | Calculates the exact variance
Fuzzy.exact.variance.poly.left | Gives the polynomial forms of the numerical alpha-cuts modelling the exact variance
Fuzzy.exact.variance.poly.right | Gives the polynomial forms of the numerical alpha-cuts modelling the exact variance
Fuzzy.p.value | Computes the fuzzy p-value of a given fuzzy hypothesis test
Fuzzy.p.value.mean | Computes the fuzzy p-value of a given fuzzy hypothesis test for the mean
fuzzy.predicted.values | Calculates the fuzzy predicted values
fuzzy.residuals | Calculates the fuzzy residuals
Fuzzy.sample.mean | Calculates the fuzzy sample mean
Fuzzy.sample.variance.approximation | Fuzzy sample variance (approx) - general
Fuzzy.sample.variance.approximation1 | Fuzzy sample variance (approx) - method 1
Fuzzy.sample.variance.approximation2 | Fuzzy sample variance (approx) - method 2
Fuzzy.sample.variance.approximation3 | Fuzzy sample variance (approx) - method 3
Fuzzy.sample.variance.approximation4 | Fuzzy sample variance (approx) - method 4
Fuzzy.sample.variance.approximation5 | Fuzzy sample variance (approx) - method 5
Fuzzy.Square | Calculates numerically the square of a fuzzy number
Fuzzy.Square.poly.left | Gives the polynomial expression of the left alpha-levels of the numerical square of a fuzzy number
Fuzzy.Square.poly.right | Gives the polynomial expression of the right alpha-levels of the numerical square of a fuzzy number
Fuzzy.variance | Calculates the variance by a chosen method: distance, exact or approximation

## -- G --

GaussianBellFuzzyNumber | Creates a Gaussian two-sided bell fuzzy number
GaussianFuzzyNumber | Creates a Gaussian fuzzy number
GFUZZ | Fuzzifies a variable modelled by any type of fuzzy numbers
GLOB.EVAL | Calculates the global evaluation of a linguistic questionnaire
GLOB.EVAL.mean | Calculates the weighted mean of the set of individual evaluations
GSGD | Calculates the generalized signed distance between fuzzy numbers

## -- I --

IND.EVAL | Calculates the individual evaluations of a linguistic questionnaire
int.0 | Numerical integration by the trivial method - method 1
int.ct | Numerical integration by the composite trapezoidal method - method 3
int.simpson | Numerical integration by the Simpson method - method 4
int.t | Numerical integration - method 2
integrate.num | Numerical integration by a particular method
is.alphacuts | Verifies if a matrix is set of left and right alpha-cuts
is.balanced | Verifies if a design is balanced
is.fuzzification | Verifies if a matrix is a fuzzification matrix
is.trfuzzification | Verifies if a matrix is a fuzzification matrix of trapezoidal fuzzy numbers

## -- K --

Kurtosis | Calculates the excess of kurtosis of a random fuzzy variable

## -- M --

Mid.Spr | Calculates a distance by the d_Mid.Spr between fuzzy numbers
Moment | Calculates a central sample moment of a random fuzzy variable

## -- N --

nbreakpoints | Calculates the number of breakpoints of a numerical matrix of alpha-cuts
n_jk.. | Calculates the number of answers by a specific sub-item
n_jkq. | Calculates the number of answers by a specific linguistic of a sub-item

## -- O --

optimal.distance | Calculates the optimal distance between two fuzzy numbers according to the chosen type

## -- P --

p.value.fisher | Calculates the p-value of fuzzy observations taken from a Fisher distribution
p.value.log | Calculates the p-value of fuzzy observations taken from a Logistic distribution
p.value.mean.log | Calculates the p-value of fuzzy observations taken from a logistic distribution for the mean
p.value.mean.normal | Calculates the p-value of fuzzy observations taken from a normal distribution for the mean
p.value.mean.poisson | Calculates the p-value of fuzzy observations taken from a Poisson distribution for the mean
p.value.mean.Student | Calculates the p-value of fuzzy observations taken from a Student distribution for the mean
p.value.normal | Calculates the p-value of fuzzy observations taken from a normal distribution
p.value.poisson | Calculates the p-value of fuzzy observations taken from a Poisson distribution
p.value.Student | Calculates the p-value of fuzzy observations taken from a Student distribution
prm_polygon | Polygon Ranking Method for two convex polygonal fuzzy numbers
prm_trapezoid | PRM ranking of two trapezoidal fuzzy numbers
prm_triangle | PRM ranking of two triangular fuzzy numbers

## -- R --

R | Calculates the indicator of information's rate of the data base
Rho1 | Calculates a distance by the Rho1 between fuzzy numbers
Rho2 | Calculates a distance by the Rho2 between fuzzy numbers
Rhop | Calculates a distance by the d_Rhop between fuzzy numbers
Ri | Calculates the indicator of information's rate of the data base for a given unit

## -- S --

Sample.variance | Calculates the sample variance by a convenient metric
SEQ.ORDERING | Calculates the sequential sums of squares by a convenient metric
SEQ.ORDERING.APPROXIMATION | Calculates the sequential sums of squares by an approximation
SEQ.ORDERING.EXACT | Calculates the sequential sums of squares by an exact calculation
SGD | Calculates a distance by the SGD between fuzzy numbers
Skewness | Calculates the skewness of a random fuzzy variable
square | Square a number
summary_prm | Full summary table of a PRM result
summary_prm_scores | Score-only summary of a PRM result

## -- T --

tr.gfuzz | Fuzzifies a variable modelled by trapezoidal or triangular fuzzy numbers

## -- W --

wabl | Calculates a distance by the d_wabl between fuzzy numbers
Weighted.fuzzy.mean | Calculates the weighted fuzzy sample mean