Modified Method of Structural Identification of Interval Discrete Models of Atmospheric Pollution by Harmful Emissions from Motor Vehicles

Dyvak, Mykola; Porplytsya, Natalia; Maslyiak, Yurii

doi:10.1007/978-3-030-33695-0_33

Cited by 2 publications

(5 citation statements)

References 21 publications

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“…e problem of object modeling based on interval data is considered in [42,47]. e authors of the interval approach declare that it has a number of advantages over the stochastic (probabilistic) approach.…”

Section: Statement Of the Problem Of Mathematical Modeling Based On I...mentioning

confidence: 99%

“…To solve ISNAE (6), the method of parametric identification based on random search procedures is used. e application of this method involves, instead of ISNAE ( 6) solving, the search for some approximation to its solution, which determines the quality of the current IDM structure [47].…”

Section: Statement Of the Problem Of Mathematical Modeling Based On I...mentioning

confidence: 99%

“…e properties of the obtained models depend on the chosen method of sets of parameter estimation. Preferably, sets of parameter estimates can be presented in the forms of a polyhedron, a multidimensional ellipsoid, or a rectangular parallelepiped that specifies the intervals of parameter values [46,47].…”

Section: Introductionmentioning

confidence: 99%

“…However, these methods are limited for use by both researchers and users-practitioners due to the lack of developed ontological description for this area of mathematical modeling, which would make it possible to expand the scope of application of the existing interval models for a particular subject area and to develop new models. An example, in this case, is the field of building mathematical models for medicine [41] or environmental monitoring, in particular, the description of mathematical models based on interval data for the processes of air pollution by harmful emissions from vehicles [46][47][48]. e long-term experience of the authors of this work in creating and applying this type of model has shown that in the case of changes in the state of the environment, or conditions for obtaining interval data, most built interval models lose accuracy or become inadequate.…”

Section: Introductionmentioning

confidence: 99%

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Ontology of Mathematical Modeling Based on Interval Data

et al. 2022

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An ontological approach as a tool for managing the processes of constructing mathematical models based on interval data and further use of these models for solving applied problems is proposed in this article. Mathematical models built using interval data analysis are quite effective in many applications, as they have “guaranteed” predictive properties, which are determined by the accuracy of experimental data. However, the application of mathematical modeling methods is complicated by the lack of software tools for the implementation of procedures for constructing this type of mathematical models, creating an ontological model that operates by the categories of the subject area of mathematical modeling, regardless of the modeling object proposed in this article. This approach has made it possible to generate tools for mathematical modeling of various objects based on the interval data analysis for any software development environment selected by the user. The technology of creating the software on the basis of the developed ontological superstructure for mathematical modeling using the interval data for different objects, as well as various forms of user interface implementation, is presented in this article. A number of schemes, which illustrate the technology of using the ontological approach of mathematical modeling based on interval data, are presented, and the features of its interpretation when solving environmental monitoring problems are described.

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Section: Statement Of the Problem Of Mathematical Modeling Based On I...mentioning

confidence: 99%

Section: Statement Of the Problem Of Mathematical Modeling Based On I...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Ontology of Mathematical Modeling Based on Interval Data

et al. 2022

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“…Differential equations, or their differential analogues, are often used to model the processes of pollution of the surface layer of the atmosphere by harmful emissions from non-stationary sources of pollution, such as motor vehicles. For the structural identification of difference equations, we can use a method based on behavioral models of the bee colony [1]. Now let us consider the problem of parametric identification of interval models of dynamic objects.…”

Section: Statement Of the Research Problemmentioning

confidence: 99%

Control of mathematical modeling process of dynamics of harmful substances concentrations on the basis of ontological approach

Dyvak¹,

Melnyk²,

Pukas³

et al. 2022

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The problem of building a mathematical model of the dynamics of nitrogen dioxide concentrations at different parts of the city is considered in the paper. The peculiarities of the construction of such models on the basis of periodic measurement of concentrations of harmful substances and identification on the basis of the measurements obtained are considered. This paper also proposes an ontological approach as a control tool that greatly simplifies the systematic standardized methods of the models storage, the process of their construction and appropriate usage in practice. The use of the ontological model allows formalizing the process of obtaining, storing and using relevant knowledge and is suitable for more intelligent systems, such as identification of obviously erroneous solutions based on the model, predictive control of the model, optimization of the decision-making process based on knowledge and modeling of an appropriate technological flow chart. This paper also describes the features of the construction of the corresponding ontological model, the pattern of choice of a nonlinear model with "switching" to different conditions. Relevant experimental studies have also been conducted to confirm the effectiveness of the proposed approach.

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Modified Method of Structural Identification of Interval Discrete Models of Atmospheric Pollution by Harmful Emissions from Motor Vehicles

Cited by 2 publications

References 21 publications

Ontology of Mathematical Modeling Based on Interval Data

Ontology of Mathematical Modeling Based on Interval Data

Control of mathematical modeling process of dynamics of harmful substances concentrations on the basis of ontological approach

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