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FuzzySTs  

Fuzzy Statistical Tools
View on CRAN: Click here


Download and install FuzzySTs package within the R console
Install from CRAN:
install.packages("FuzzySTs")

Install from Github:
library("remotes")
install_github("cran/FuzzySTs")

Install by package version:
library("remotes")
install_version("FuzzySTs", "0.4")



Attach the package and use:
library("FuzzySTs")
Maintained by
Redina Berkachy
[Scholar Profile | Author Map]
All associated links for this package
First Published: 2020-07-03
Latest Update: 2025-07-31
Description:
The main goal of this package is to present various fuzzy statistical tools. It intends to provide an implementation of the theoretical and empirical approaches presented in the thesis entitled "The signed distance measure in fuzzy statistical analysis. Some theoretical, empirical and programming advances" (Thesis to be published soon. For the theoretical approaches, see Berkachy R. and Donze L. (2019) . For the empirical approaches, see Berkachy R. and Donze L. (2016) ). Important (non-exhaustive) implementation highlights of this package are as follows: (1) a numerical procedure to estimate the fuzzy difference and the fuzzy square. (2) two numerical methods of fuzzification. (3) a function performing different possibilities of distances, including the signed distance and the generalized signed distance for instance. (4) numerical estimations of fuzzy statistical measures such as the variance, the moment, etc. (5) two methods of estimation of the bootstrap distribution of the likelihood ratio in the fuzzy context. (6) an estimation of a fuzzy confidence interval by the likelihood ratio method. (7) testing fuzzy hypotheses and/or fuzzy data by fuzzy confidence intervals in the Kwakernaak - Kruse and Meyer sense. (8) a general method to estimate the fuzzy p-value with fuzzy hypotheses and/or fuzzy data. (9) a method of estimation of global and individual evaluations of linguistic questionnaires. (10) numerical estimations of multi-ways analysis of variance models in the fuzzy context. The unbalance in the considered designs are also foreseen.
How to cite:
Redina Berkachy (2020). FuzzySTs: Fuzzy Statistical Tools. R package version 0.4, https://cran.r-project.org/web/packages/FuzzySTs. Accessed 26 Aug. 2026.
Previous versions and publish date:
0.1 (2020-07-03 12:50), 0.2 (2020-11-23 14:50), 0.3 (2024-07-07 12:40), 0.4 (2025-07-31 18:00), (2026-07-13 14:30)
Other packages that cited FuzzySTs R package
View FuzzySTs citation profile
Other R packages that FuzzySTs depends, imports, suggests or enhances
Complete documentation for FuzzySTs
Functions, R codes and Examples using the FuzzySTs R package
Some associated functions: Bertoluzza . D2 . DSGD.G . DSGD . Defuzz.FANOVA . Delta.pq . FANOVA.approximation . FANOVA.distance . FANOVA.exact . FANOVA . FANOVA.summary . FMANOVA.approximation . FMANOVA.distance . FMANOVA.exact . FMANOVA.interaction.summary . FMANOVA . FMANOVA.summary . FTukeyHSD . FUZZ . Ftests . Fuzzy.CI.ML.test . Fuzzy.CI.test . Fuzzy.Difference . Fuzzy.Square . Fuzzy.Square.poly.left . Fuzzy.Square.poly.right . Fuzzy.decisions.ML . Fuzzy.decisions . Fuzzy.exact.variance . Fuzzy.exact.variance.poly.left . Fuzzy.exact.variance.poly.right . Fuzzy.p.value.mean . Fuzzy.p.value . Fuzzy.sample.mean . Fuzzy.sample.variance.approximation . Fuzzy.sample.variance.approximation1 . Fuzzy.sample.variance.approximation2 . Fuzzy.sample.variance.approximation3 . Fuzzy.sample.variance.approximation4 . Fuzzy.sample.variance.approximation5 . Fuzzy.variance . GFUZZ . GLOB.EVAL.mean . GLOB.EVAL . GSGD . GaussianBellFuzzyNumber . GaussianFuzzyNumber . IND.EVAL . Kurtosis . Mid.Spr . Moment . R . Rho1 . Rho2 . Rhop . Ri . SEQ.ORDERING.APPROXIMATION . SEQ.ORDERING.EXACT . SEQ.ORDERING . SGD . Sample.variance . Skewness . Weighted.fuzzy.mean . adjusted.weight.MI . adjusted.weight.SI . boot.mean.algo1 . boot.mean.algo2 . boot.mean.ml . cube . delta_jki . distance . fci.ml.boot . fci.ml . fuzzy.predicted.values . fuzzy.residuals . int.0 . int.ct . int.simpson . int.t . integrate.num . is.alphacuts . is.balanced . is.fuzzification . is.trfuzzification . n_jk.. . n_jkq. . nbreakpoints . p.value.Student . p.value.fisher . p.value.log . p.value.mean.Student . p.value.mean.log . p.value.mean.normal . p.value.mean.poisson . p.value.normal . p.value.poisson . square . tr.gfuzz . wabl . 
Some associated R codes: Boot_Algo1_ML_30012018.R . Boot_Algo2_ML_30012018.R . Boot_ML_30012018.R . Distances_17102018.R . Empirical_moments_23102018.R . FANOVA_07122018.R . FANOVA_Approximation_07122018.R . FANOVA_Distance_06122018.R . FANOVA_Exact_06122018.R . FCI_ML_20112018.R . FCI_ML_boot_13012018.R . FMANOVA_20122018.R . FMANOVA_Approximation_20122018.R . FMANOVA_Distance_10122018.R . FMANOVA_Exact_10122018.R . FTukeyHSD_20200302.R . Fuzzifier_16102018_bis.R . Fuzzy_Difference_29102018.R . Fuzzy_Sample_Variance_Exact_31102018.R . Fuzzy_Square_26102018.R . Fuzzy_decisions_25102018.R . Fuzzy_decisions_ML_28112018.R . Fuzzy_p_value_26102018.R . Fuzzy_sample_mean_16102018.R . Fuzzy_sample_variance_17102018.R . Fuzzy_test_CI_25102018.R . GaussFN_30112018.R . Hyp_Test_Viertl_Fisher_18102018.R . Hyp_Test_Viertl_Logistic_18102018.R . Hyp_Test_Viertl_Mean_Logistic_19102018.R . Hyp_Test_Viertl_Mean_Normal_19102018.R . Hyp_Test_Viertl_Mean_Poisson_19102018.R . Hyp_Test_Viertl_Mean_Student_26102018.R . Hyp_Test_Viertl_Normal_18102018.R . Hyp_Test_Viertl_Poisson_18102018.R . Hyp_Test_Viertl_Student_26102018.R . Ind_Evaluation_30112018.R . Numerical_integration_18102018.R . SEQ_ORDERING_13122018.R . SEQ_ORDERING_Approximation_19122018.R . SEQ_ORDERING_EXACT_19122018.R . fuzzy_predicted_values_12122018.R . globals.R . is_alphacuts_17102018.R . power.R .  Full FuzzySTs package functions and examples
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