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Research of High-Speed Procedures for Defuzzification Based on the Area Ratio Method

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Abstract

The article discusses ways to build high-speed defuzzifiers. Two procedures for modifying the defuzzification model based on the area ratio method are presented. A limitation of the proposed method with two high-speed procedures is the use of only triangular or singleton membership functions. The main aim of the research is to test the hypothesis about the possibility of changing the type of the transient process during learning of the fuzzy MISO-system and to study the properties of the influence of the weight coefficient on the speed of its learning. The study tested the hypothesis of the presence of the additivity property in the high-speed defuzzifier with procedures I and II. Experimental researches have confirmed these hypotheses. The architecture of a fuzzy MISO-system based on the area ratio method with two high-speed procedures is shown in the article. Also in the article, firstly, graphs are presented that simulate the work of the center of gravity method, the area ratio method, and two high-speed procedures. Secondly, the article shows graphs that simulate the learning process of a fuzzy MISO-system.

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Bobyr, M., Emelyanov, S., Milostnaya, N., Gorbachev, S. (2022). Research of High-Speed Procedures for Defuzzification Based on the Area Ratio Method. In: Bhattacharyya, S., Das, G., De, S. (eds) Intelligence Enabled Research. Studies in Computational Intelligence, vol 1029. Springer, Singapore. https://doi.org/10.1007/978-981-19-0489-9_10

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