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Volume 59 >>> № 6 NOVEMBER — DECEMBER 2023

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UDC 681.3

O.I. Provotar¹, O.P. Ilkun²

¹ Taras Shevchenko National University of Kyiv, Kyiv, Ukraine

aprowata1@bigmir.net

² Taras Shevchenko National University of Kyiv, Kyiv, Ukraine

alexander.ilkun@gmail.com

AN APPROACH TO FINDING CREDIBILITY ESTIMATES IN FUZZY MODELING

Abstract. The author proposes an approach to finding numerical estimates of the credibility of fuzzy knowledge in fuzzy logical inference systems. The “input–output” type system is modeled by means of fuzzy logic. According to Mamdani’s rule, the output of the system is found in the form of fuzzy knowledge with subsequent calculation of its credibility. Elements of the probability theory of fuzzy events are used to calculate the credibility of fuzzy knowledge. An example of calculating the credibility of fuzzy knowledge is given.

Keywords: fuzzy set, conditional probability of a fuzzy event, fuzzy rule.

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