# fci.ml: Estimates a fuzzy confidence interval by the Likelihood... In FuzzySTs: Fuzzy Statistical Tools

## Description

Estimates a fuzzy confidence interval by the Likelihood method

## Usage

 ``` 1 2 3 4 5 6 7 8 9 10 11 12``` ```fci.ml( data.fuzzified, t, distribution, sig, mu = NA, sigma = NA, step = 0.05, margin = c(5, 5), breakpoints = 100, plot = TRUE ) ```

## Arguments

 `data.fuzzified` a fuzzification matrix constructed by a call to the function FUZZ or the function GFUZZ, or a similar matrix. No NA are allowed. `t` a given numerical or fuzzy type parameter of the distribution. `distribution` a distribution chosen between "normal", "poisson", "Student" or "Logistic". `sig` a numerical value representing the significance level of the test. `mu` if the mean of the normal distribution is known, mu should be a numerical value. Otherwise, the argument mu is fixed to NA. `sigma` if the standard deviation of the normal distribution is known, sigma should be a numerical value. Otherwise, the argument sigma is fixed to NA. `step` a numerical value fixed to 0.05, defining the step of iterations on the interval [t-5; t+5]. `margin` an optional numerical couple of values fixed to [5; 5], representing the range of calculations around the parameter t. `breakpoints` a positive arbitrary integer representing the number of breaks chosen to build the numerical alpha-cuts. It is fixed to 100 by default. `plot` fixed by default to "FALSE". plot="FALSE" if a plot of the fuzzy number is not required.

## Value

Returns a matrix composed by 2 vectors representing the numerical left and right alpha-cuts. For this output, is.alphacuts = TRUE.

## Examples

 ```1 2 3 4 5 6 7 8``` ```data <- matrix(c(1,2,3,2,2,1,1,3,1,2),ncol=1) MF111 <- TrapezoidalFuzzyNumber(0,1,1,2) MF112 <- TrapezoidalFuzzyNumber(1,2,2,3) MF113 <- TrapezoidalFuzzyNumber(2,3,3,4) PA11 <- c(1,2,3) data.fuzzified <- FUZZ(data,mi=1,si=1,PA=PA11) Fmean <- Fuzzy.sample.mean(data.fuzzified) fci.ml(data.fuzzified, t = Fmean, distribution = "normal", sig= 0.05, sigma = 0.62) ```

FuzzySTs documentation built on July 8, 2020, 7:17 p.m.