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Industrial Automatic Control Systems and Controllers

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Assessing the Impact of the Number of Trainees Points Additivity of Fuzzy Systems
Bobyr M.V. Kulabukhov S.A. Titov D.V.

The article shows that the traditional algorithms fuzzy inference do not meet the additive property, which refers to the lack of response at the output of the fuzzy MISO-system as the input parameters. Consequently, the response to the output of the fuzzy system has
MISO-deadband. This error is called – «a step». This drawback is advisable to remove due to the use of soft arithmetic operations in the structure of a fuzzy inference. To assess the additive in paper considers fuzzy modeling algorithms with different soft operators. As soft operators of algebraic operators used Prod work and finding the minimum soft Soft-Min. Rating is based on the additivity minimize the standard deviation (RMSE) and allowed numerically show that the operator of soft output exceeds the remaining arithmetic operators in more than two times. The above example explains the effectiveness of soft operators.

Keywords: fuzzy logic; fuzzy inference; additively; soft arithmetic; RMSE; error type «step»; MISO-system; triangular membership function; the hard output operator.

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Pp. 30-35.

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