Ontology of Mathematical Modeling Based on Interval Data
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 applica...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2022/8062969 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832563340737511424 |
|---|---|
| author | Mykola Dyvak Andriy Melnyk Artur Rot Marcin Hernes Andriy Pukas |
| author_facet | Mykola Dyvak Andriy Melnyk Artur Rot Marcin Hernes Andriy Pukas |
| author_sort | Mykola Dyvak |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-1fc334330fc149179abcf40d09ea9032 |
| institution | Kabale University |
| issn | 1099-0526 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-1fc334330fc149179abcf40d09ea90322025-02-03T01:20:19ZengWileyComplexity1099-05262022-01-01202210.1155/2022/8062969Ontology of Mathematical Modeling Based on Interval DataMykola Dyvak0Andriy Melnyk1Artur Rot2Marcin Hernes3Andriy Pukas4Department of Computer ScienceDepartment of Computer ScienceFaculty of ManagementFaculty of ManagementDepartment of Computer ScienceAn 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.http://dx.doi.org/10.1155/2022/8062969 |
| spellingShingle | Mykola Dyvak Andriy Melnyk Artur Rot Marcin Hernes Andriy Pukas Ontology of Mathematical Modeling Based on Interval Data Complexity |
| title | Ontology of Mathematical Modeling Based on Interval Data |
| title_full | Ontology of Mathematical Modeling Based on Interval Data |
| title_fullStr | Ontology of Mathematical Modeling Based on Interval Data |
| title_full_unstemmed | Ontology of Mathematical Modeling Based on Interval Data |
| title_short | Ontology of Mathematical Modeling Based on Interval Data |
| title_sort | ontology of mathematical modeling based on interval data |
| url | http://dx.doi.org/10.1155/2022/8062969 |
| work_keys_str_mv | AT mykoladyvak ontologyofmathematicalmodelingbasedonintervaldata AT andriymelnyk ontologyofmathematicalmodelingbasedonintervaldata AT arturrot ontologyofmathematicalmodelingbasedonintervaldata AT marcinhernes ontologyofmathematicalmodelingbasedonintervaldata AT andriypukas ontologyofmathematicalmodelingbasedonintervaldata |