Geodesic
Algorithm to adjust fuzzy inference system of Mamdani type
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 10 (2018) no. 3, pp. 19-29

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An algorithm to adjust the Mamdani-type systems is given; it uses the principle of a proportional-integral controller with a limited integral component to adjust fuzzy inference rules. To reduce the adjustment time in comparison with proportional controller and to reduce the overshoot amount in comparison with the proportional-integral controller with the same values of the coefficients of the integral and proportional components, the integral component limitation is used. The advantage of the developed algorithm is in the possibility of performing a local adjustment without a complete set of data for the domain of definition of input variables and the corresponding response values of the system. As a priority area for further research adaption of the application of the algorithms to the membership functions of other types (non-Gaussian) is considered. The efficiency of the algorithm is confirmed by the results of its comparison with algorithms of fuzzy inference system adjustment based on fuzzy neural networks and fuzzy clustering in solving identical problems.
Keywords: fuzzy inference systems, adaptive systems, Mamdani-type systems, intelligent systems, fuzzy logic, functions of membership, proportional-integral controller. 
@article{VYURM_2018_10_3_a2,
     author = {M. S. Golosovskiy and A. V. Bogomolov and D. S. Terebov and E. V. Evtushenko},
     title = {Algorithm to adjust fuzzy inference system of {Mamdani} type},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matematika, mehanika, fizika},
     pages = {19--29},
     publisher = {mathdoc},
     volume = {10},
     number = {3},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURM_2018_10_3_a2/}
}
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M. S. Golosovskiy; A. V. Bogomolov; D. S. Terebov; E. V. Evtushenko. Algorithm to adjust fuzzy inference system of Mamdani type. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 10 (2018) no. 3, pp. 19-29. http://geodesic.mathdoc.fr/item/VYURM_2018_10_3_a2/