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Interval Type 2 Fuzzy Logic Systems in Python

Project description

PyIT2FLS

NumPy based toolkit for Interval Type 2 Fuzzy Logic Systems (IT2FLS) simulation.

Licence

PyIT2FLS is published under MIT License. If you are using the developed toolkit, please cite the paper PyIT2FLS: A New Python Toolkit for Interval Type 2 Fuzzy Logic Systems.

@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}
}

Installation

PyIT2FLS can be installed by unzipping the source code in one directory and using this command:

(sudo) python3 setup.py install

Or you can use pip3:

(sudo) pip3 install --upgrade pyit2fls

Examples

There are five examples provided over github page along with the toolkit, which are listed as below:

  • Ex1: Defining an Interval Type 2 Fuzzy Set (IT2FS)

  • Ex2: Application of join and meet operators and plotting the outputs

  • Ex3: Defining a simple (MIMO) IT2FLS

  • Ex4: Prediction of the Mackey-Glass chaotic time series with PSO-based parameter tuning

  • 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.

  • Ex7: Similar to Ex3 but implemented using the new Mamdani class. The new Mamadani class is 3 times faster compared to the IT2FLS class.

  • Ex8: Defining a simple multi-input multi-output IT2 TSK FLS.

  • Ex9: Defining a multi-input multi-output IT2 TSK FLS and plotting the 3D resulting output planes.

  • 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.

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