Investigating adequacy of interval type-2 fuzzy models in complex objects identification problems

Кондратенко, Н. Р.; Snihur, Olha

doi:10.20535/srit.2308-8893.2019.4.10

Cited by 2 publications

(4 citation statements)

References 3 publications

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“…Множини типу-1 і типу-2 використовуються в методиках з подання знань експертів. У працях [4][5][6] розглядаються напрями, де в умовах неповноти вхідних даних експерту надається право визначати ту підмножину вхідних даних, яка, на його думку, є важливою. Також робиться висновок про доцільність використання нечітких моделей, побудованих на нечітких множинах типу-2 з інтервальними функціями належності.…”

Section: проблемиunclassified

“…Приклади практичного використання інтервальних нечітких моделей наведено у праці [7], де ставиться завдання зменшення помилок квантування інформації для нелінійних об'єктів. За рахунок використання інтервальних нечітких моделей вдається контролювати невизначеності, які виникають у нелінійних системах і надалі більш ефективно їх обробляти.…”

Section: проблемиunclassified

“…Тип функції належності задається. Це модифікована гаусова функція [1,4]; типовий вигляд графіка функції зображено на рис. 1.…”

Section: виклад основного матеріалуunclassified

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Interval type-2 generalizing fuzzy model for monitoring the states of complex systems using expert knowledge

Kondratenko¹,

Snihur²,

Кондратенко³

2023

SRIT

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A type-2 interval generalizing fuzzy model is proposed for monitoring complex systems’ states. A set-theoretic approach is proposed to generalize the results of type-2 fuzzy models with interval membership functions. The study of the correspondence of expert assessments to the output value of the generalizing fuzzy model over the observation interval is presented. Examples of the use of generalizing fuzzy model type-2 in the task of monitoring the conditions of an artesian well are given. It is shown that in order to improve the quality of decisions made, the expert needs to pay attention to the value of the interval output of the generalizing type-2 fuzzy model. Recommendations are presented to experts to improve decision-making regarding the estimation of the output interval of the generalizing model.

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Section: проблемиunclassified

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Interval type-2 generalizing fuzzy model for monitoring the states of complex systems using expert knowledge

Kondratenko¹,

Snihur²,

Кондратенко³

2023

SRIT

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“…One more advantage of such approach is that built mathematical models take into account errors in data on the base of application of interval data analysis [31][32][33][34]. In this case, mathematical model is built in the form of a difference equation, which ensures the calculation of object characteristic estimates in the form of numerical intervals [21,34,35]. It should be noted that optimization task of identification of such model is quite complex from mathematical point of view.…”

Section: Introductionmentioning

confidence: 99%

Transformation of Mathematical Model for Complex Object in Form of Interval Difference Equations to a Differential Equation

Dyvak¹,

Pasichnyk²,

Melnyk³

et al. 2023

IJC

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Mathematical models of complex objects in the form of interval difference equations are built on the basis of the obtained experimental interval data within the limits of the inductive approach. At the same time, interpretation of physical properties of the object on the base of such model is complex enough. A method of transformation of a mathematical model in the form of interval differential equations was proposed in the article. The proposed method is based on the formulas for representing the values of the function at the node of the difference grid in the Taylor series in the neighborhood of the base node, as well as the differential representation of the derivatives in the same neighborhood. The developed approach creates opportunities for the identification of interval models of complex objects based on the analysis of interval data with further interpretation of the physical properties of the modeled object according to the classical scheme.

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Investigating adequacy of interval type-2 fuzzy models in complex objects identification problems

Cited by 2 publications

References 3 publications

Interval type-2 generalizing fuzzy model for monitoring the states of complex systems using expert knowledge

Interval type-2 generalizing fuzzy model for monitoring the states of complex systems using expert knowledge

Transformation of Mathematical Model for Complex Object in Form of Interval Difference Equations to a Differential Equation

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