Authors A. I. Dolgy, S. M. Kovalev
Month, Year 05, 2018 @en
Index UDC 519.113: 681.3
Abstract The problem of estimating the interpolation suitability of mathematical models based on fuzzy logic is considered. It is shown that interpretability is one of the main reasons for the popularity of fuzzy logic and the wide spread of fuzzy modeling technologies. An approach to the estimation of the interpretability of fuzzy models describing the dynamics of processes is developed. A fuzzy temporal model is presented in the form of production rules, the antecedents of which are determined by using fuzzy correlation temporal priority. The idea of the proposed approach is based on the assumption that the interpretability of the fuzzy temporal model is directly related to the interpretability of its temporal linguistic variables. The principle of interpretability of a time linguistic variable is formulated, according to which interpretability is the ability of a time linguistic variable to maintain time relations on a family of fuzzy subsets corresponding to the terms of a time variable.Necessary and sufficient conditions of interpretability of the linguistic time variable in the form of the corresponding statement are formulated. Examples of interpreted non-interpreted time linguistic variables.The proposed approach to the establishment of the interpretability of temporal linguistic variables can be applied not only to simple but also to compound linguistic variables obtained by integrating temporal modifiers based on temporal relations. The model of fuzzy temporal interpretability, a temporary thing, a temporary linguistic variable, fuzzy temporal formula.

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Keywords Model fuzzy temporal; interpretability; temporal relations; temporal linguistic variable; fuzzy temporal formula.
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