Fractional Fuzzy Inference Systems (FFISs): MATLAB function

Implementation of the new branch of fuzzy systems through the use of MATLAB m file function FFIS.m. (The second version)
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Updated 2 Mar 2024

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This document is dedicated to explaining briefly how the Fractional Fuzzy Inference Systems (FFISs) can be implemented in MATLAB through the use of the second version of the function FFIS.m, i.e., (the version No. 240301). This version has been built by MATLAB Version: R2020a and is compatible with Windows 64-bit.
The package includes the following files:
The help file: Help_FFIS240301.pdf
FFIS.m
Supplementary Mex files namely: HMFunction.mexw64, eval_trapmf.mexw64, eval_trimf.mexw64, and mexFidsPoly.mexw64
Supplementary m-files: evalmf2.m and checkPolynomialRange.m(Optional)
The example files: (example.m, IP_example.fis})
The main file that should be used is FFIS.m. This function evaluates fractional fuzzy inference system. Its role is similar to the evalfis.m in the MATLAB software.
Note. The mex files and the evalmf2.m must be in the same folder along with FFIS.m.
Before using the FFIS.m please watch the tutorial published on YouTube.
Detail information about FFISs may be found in the following references:
Mehran Mazandarani, L. Xiu,Interval Type-2 Fractional Fuzzy Inference Systems: Towards an evolution in fuzzy inference systems, Expert Systems with Applications, 2022.
Mehran Mazandarani, Li Xiu, Fractional Fuzzy Inference System: The New Generation of Fuzzy Inference Systems, IEEE Access, Vol. 8, pp. 126066-126082, 2020.
DOI: 10.1109/ACCESS.2020.3008064

Cite As

Mehran Mazandarani (2024). Fractional Fuzzy Inference Systems (FFISs): MATLAB function (https://www.mathworks.com/matlabcentral/fileexchange/84195-fractional-fuzzy-inference-systems-ffiss-matlab-function), MATLAB Central File Exchange. Retrieved .

Mehran Mazandarani, Li Xiu, Fractional Fuzzy Inference System: The New Generation of Fuzzy Inference Systems, IEEE Access, Vol. 8, pp. 126066-126082, 2020. DOI: 10.1109/ACCESS.2020.3008064

Mazandarani, Mehran, and Li Xiu. “Interval Type-2 Fractional Fuzzy Inference Systems: Towards an Evolution in Fuzzy Inference Systems.” Expert Systems with Applications, vol. 189, Elsevier BV, Mar. 2022, p. 115947, doi:10.1016/j.eswa.2021.115947.

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Mazandarani, Mehran, and Li Xiu. “Interval Type-2 Fractional Fuzzy Inference Systems: Towards an Evolution in Fuzzy Inference Systems.” Expert Systems with Applications, vol. 189, Elsevier BV, Mar. 2022, p. 115947, doi:10.1016/j.eswa.2021.115947.

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Mehran Mazandarani, J. Pan, "The Q-Fractionalism Reasoning Learning Method," IEEE Transactions on Neural Networks and Learning Systems, 2024. https://ieeexplore.ieee.org/document/10304370

Mehran Mazandarani, O. Kosheleva, V. Kreinovich, "Why Fractional Fuzzy," EUSFLAT AGOP 2023, https://doi.org/10.1007/978-3-031-39965-7_24

MATLAB Release Compatibility
Created with R2020b
Compatible with R2020a and later releases
Platform Compatibility
Windows macOS Linux

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Version Published Release Notes
24.03.01

The structure of Fids has been changed slightly.
Some functions have been converted to their corresponding mex file.
The speed of execution has been increased by about 75%.

22.08.13

The help file has been updated with more information about the fractional FISs.

20.12.10