Package: pyit2fls
PyIT2FLSNumPy and SciPy based toolkit for Type 1 and Interval Type 2 Fuzzy Logic Systems.LicencePyIT2FLS is published under MIT license. If you are using the developed toolkit, please cite preprint of our paperPyIT2FLS: A New Python Toolkit for Interval Type 2 Fuzzy Logic Systems.BibTeX:@misc{haghrah2019pyit2fls,
    title={PyIT2FLS: A New Python Toolkit for Interval Type 2 Fuzzy Logic Systems},
    author={Amir Arslan Haghrah and Sehraneh Ghaemi},
    year={2019},
    eprint={1909.10051},
    archivePrefix={arXiv},
    primaryClass={eess.SY}
}MLA:Haghrah, Amir Arslan, and Sehraneh Ghaemi. "PyIT2FLS: A New Python Toolkit for Interval Type 2 Fuzzy Logic Systems." arXiv preprint arXiv:1909.10051 (2019).InstallationPyIT2FLS can be installed by unzipping the source code in a directory and using this command:(sudo) python3 setup.py installOr you can use pip3:(sudo) pip3 install --upgrade pyit2flsVersionsFeatures coming up in the next versionException handling.Supporting Generalized Type 2 Fuzzy Sets and Systems.Some notes on version 0.7.9Some bugs (concerning EIASC algorithm) have been fixed in this version.Some notes on version 0.7.8Some bugs have been fixed in this version.Some notes on version 0.7.0-0.7.7Supporting fuzzy matrices and related operators.Faster IT2 FLS evaluation (Please visittypereductionpackage).Introduction of emphasize function for both type 1 and interval type 2 fuzzy sets (See16thexample).New options while calling plot functions (T1FS.plot,IT2FS.plot,T1FS_plot,IT2FS_plot, andTR_plot) have been added.Users can specify the output file format (png, eps, pdf, etc.) while calling the plot function by setting theextinput parameter (withpdfdefault value).Users can edit the status of the grid in the output plot by setting thegridinput parameter (withTruedefault value).Users can edit the x and y-labels by setting the input parametersxlabelandylabel, respectively. The default value of thexlabelisDomain, and the default value of theylabelisMembership degree.There are some deprecated functions and classes. After releasing version 1.0.0, deprecated functions and classes will no longer be supported. So:Please use the functionIT2FS_LGaussian_UncertStdinstead ofL_IT2FS_Gaussian_UncertStd.Please use the functionIT2FS_RGaussian_UncertStdinstead ofR_IT2FS_Gaussian_UncertStd.Please use the classIT2Mamdaniinstead ofIT2FLS.Please use the classIT2Mamdaniinstead ofMamdani.Please use the classIT2TSKinstead ofTSK.Some notes on version 0.6.1Some bugs have been fixed in this version.Some notes on version 0.6Supporting Type 1 Fuzzy Sets and Systems.Supporting elliptic and semi-elliptic membership functions.Supporting generalized bell shaped membership function.Supporting many new t-norms and s-norms.Some bugs are fixed in this version.Some notes on version 0.5Supporting both Mamdani and TSK systems.Some bugs have been fixed in this vesion. Now, it is possible to use different domains for FLS inputs and outputs.Some notes on version 0.4Some bugs have been fixed in this version especially in type reduction algorithms. I would like to say thanks to Dr. K.B Badri Narayanan for reporting the errors.Some new IT2FSs have been added to the toolkit.In previous versions, the height of the IT2FS_Gaussian_UncertStd and IT2FS_Gaussian_UncertMean IT2FSs was fixed to 1, by default. But in the new version, user must give the height value in the parameters list as the last element.DocstringsFurther information about the functions and classes in the PyIT2FLS are accessible by docstrings. After importing a function or class, they can be seen by calling the help function. For example:>>>frompyit2flsimportIT2FS_Gaussian_UncertStd>>>help(IT2FS_Gaussian_UncertStd)ExamplesThere are some examples provided along with the toolkit which are as below:Ex1: Defining an Interval Type 2 Fuzzy Set (IT2FS).Ex2: Using join and meet operators and plotting the outputs.Ex3: Defining a simple (MIMO) IT2FLS.Ex3 (updated): Example 3 using the IT2Mamdani class.Ex4: Prediction of the Mackey-Glass chaotic time series with PSO-based parameter tuning.Ex4 (updated): Example 4 using the IT2Mamdani class.Ex5: Designing Interval Type 2 Fuzzy PID (IT2FPID) controller for a time-delay linear system.Ex6: Creating and plotting ten types of interval type two fuzzy sets.(PyIT2FLS v0.4.0 and upper)Ex7: Similar to Ex3 but implemented using the new Mamdani class.(PyIT2FLS v0.5.0 and upper)Ex8: Defining a simple multi-input multi-output IT2 TSK FLS.(PyIT2FLS v0.5.0 and upper)Ex9: Defining a multi-input multi-output IT2 TSK FLS and plotting the 3D resulting output planes.(PyIT2FLS v0.5.0 and upper)Ex10: Defining a multi-input multi-output IT2FLS with different domains for each of input and output variables, and plotting the output surfaces of the system.(PyIT2FLS v0.5.0 and upper)Ex11: Generating random rule-bases.(PyIT2FLS v0.5.0 and upper)Ex12: Using six different t-norms with meet operator.(PyIT2FLS v0.6.0 and upper)Ex13: Using six different s-norms with join operator.(PyIT2FLS v0.6.0 and upper)Ex14: MIMO Type 1 Mamdani Fuzzy Logic System.(PyIT2FLS v0.6.0 and upper)Ex15: MIMO Type 1 TSK Fuzzy Logic System.(PyIT2FLS v0.6.0 and upper)Ex16: Using emphasize function for type 1 and interval type 2 fuzzy sets.(PyIT2FLS v0.7.0 and upper)Ex17: Example concerning fuzzy matrices.(PyIT2FLS v0.7.0 and upper)Ex18: Defining random rules and random sets for IT2F classifier with three inputs and one output (Based on the request of one of the users).(PyIT2FLS v0.7.0 and upper)Some output plotsEx4:Ex5:Ex6:Ex9:Ex10: