{"id":13392,"date":"2022-08-21T11:04:44","date_gmt":"2022-08-21T08:04:44","guid":{"rendered":"http:\/\/journals.khnu.km.ua\/vestnik\/?p=13392"},"modified":"2022-10-03T15:16:05","modified_gmt":"2022-10-03T12:16:05","slug":"arhitektura-programnogo-zabezpechennya-dlya-matematychnogo-modelyuvannya-na-osnovi-intervalnogo-ta-ontologichnogo-pidhodu-2","status":"publish","type":"post","link":"https:\/\/journals.khnu.km.ua\/vestnik\/?p=13392","title":{"rendered":"\u0410\u0440\u0445\u0456\u0442\u0435\u043a\u0442\u0443\u0440\u0430 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043d\u043e\u0433\u043e \u0437\u0430\u0431\u0435\u0437\u043f\u0435\u0447\u0435\u043d\u043d\u044f \u0434\u043b\u044f \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u043d\u043e\u0433\u043e \u043c\u043e\u0434\u0435\u043b\u044e\u0432\u0430\u043d\u043d\u044f \u043d\u0430 \u043e\u0441\u043d\u043e\u0432\u0456 \u0456\u043d\u0442\u0435\u0440\u0432\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0442\u0430 \u043e\u043d\u0442\u043e\u043b\u043e\u0433\u0456\u0447\u043d\u043e\u0433\u043e \u043f\u0456\u0434\u0445\u043e\u0434\u0443"},"content":{"rendered":"

<\/p>\n

\u0410\u0420\u0425\u0406\u0422\u0415\u041a\u0422\u0423\u0420\u0410 \u041f\u0420\u041e\u0413\u0420\u0410\u041c\u041d\u041e\u0413\u041e \u0417\u0410\u0411\u0415\u0417\u041f\u0415\u0427\u0415\u041d\u041d\u042f \u0414\u041b\u042f \u041c\u0410\u0422\u0415\u041c\u0410\u0422\u0418\u0427\u041d\u041e\u0413\u041e \u041c\u041e\u0414\u0415\u041b\u042e\u0412\u0410\u041d\u041d\u042f \u041d\u0410 \u041e\u0421\u041d\u041e\u0412\u0406 \u0406\u041d\u0422\u0415\u0420\u0412\u0410\u041b\u042c\u041d\u041e\u0413\u041e \u0422\u0410 \u041e\u041d\u0422\u041e\u041b\u041e\u0413\u0406\u0427\u041d\u041e\u0413\u041e \u041f\u0406\u0414\u0425\u041e\u0414\u0423<\/p>\n

SOFTWARE ARCHITECTURE FOR MATHEMATICAL MODELING BASED ON INTERVAL AND ONTOLOGICAL APPROACH<\/p>\n

\u0421\u0442\u043e\u0440\u0456\u043d\u043a\u0438:\u00a0<\/strong>141<\/strong>–<\/strong>149<\/strong>. \u041d\u043e\u043c\u0435\u0440: \u21164, 2022 (311)\u00a0\u00a0 \"\"<\/a> <\/strong>
\n\u0410\u0432\u0442\u043e\u0440\u0438:<\/strong>
\n\u041c\u0415\u041b\u042c\u041d\u0418\u041a \u0410. \u041c.
\n\u0417\u0430\u0445\u0456\u0434\u043d\u043e\u0443\u043a\u0440\u0430\u0457\u043d\u0441\u044c\u043a\u0438\u0439 \u043d\u0430\u0446\u0456\u043e\u043d\u0430\u043b\u044c\u043d\u0438\u0439 \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442
\nhttps:\/\/orcid.org\/0000-0001-7799-9877<\/a>
\ne-mail: melnyk.andriy@gmail.com<\/a>
\nAndriy MELNYK
\nWest Ukrainian National University
\nDOI:<\/strong>\u00a0https:\/\/www.doi.org\/10.31891\/2307-5732-2022-311-4-141-149<\/a><\/p>\n

\u0410\u043d\u043e\u0442\u0430\u0446\u0456\u044f \u043c\u043e\u0432\u043e\u044e \u043e\u0440\u0438\u0433\u0456\u043d\u0430\u043b\u0443<\/strong><\/p>\n

\u0412 \u0440\u043e\u0431\u043e\u0442\u0456 \u043e\u0431\u0491\u0440\u0443\u043d\u0442\u043e\u0432\u0430\u043d\u043e \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u0430\u043d\u043d\u044f \u043e\u043d\u0442\u043e\u043b\u043e\u0433\u0456\u0447\u043d\u043e\u0433\u043e \u043f\u0456\u0434\u0445\u043e\u0434\u0443 \u044f\u043a \u0435\u0444\u0435\u043a\u0442\u0438\u0432\u043d\u043e\u0433\u043e \u0456\u043d\u0441\u0442\u0440\u0443\u043c\u0435\u043d\u0442\u0443 \u0443\u043f\u0440\u0430\u0432\u043b\u0456\u043d\u043d\u044f \u043f\u0440\u043e\u0446\u0435\u0441\u0430\u043c\u0438 \u043f\u043e\u0431\u0443\u0434\u043e\u0432\u0438 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u043d\u0438\u0445 \u043c\u043e\u0434\u0435\u043b\u0435\u0439 \u043d\u0430 \u043e\u0441\u043d\u043e\u0432\u0456 \u0456\u043d\u0442\u0435\u0440\u0432\u0430\u043b\u044c\u043d\u0438\u0445 \u0434\u0430\u043d\u0438\u0445 \u0442\u0430 \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u0430\u043d\u043d\u044f \u0446\u0438\u0445 \u043c\u043e\u0434\u0435\u043b\u0435\u0439 \u0434\u043b\u044f \u043f\u0440\u0438\u043a\u043b\u0430\u0434\u043d\u0438\u0445 \u0437\u0430\u0434\u0430\u0447. \u0412\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u0430\u043d\u043d\u044f \u043e\u043d\u0442\u043e\u043b\u043e\u0433\u0456\u0447\u043d\u043e\u0457 \u043c\u043e\u0434\u0435\u043b\u0456 \u0434\u0430\u043b\u043e \u043c\u043e\u0436\u043b\u0438\u0432\u0456\u0441\u0442\u044c \u0444\u043e\u0440\u043c\u0430\u043b\u0456\u0437\u0443\u0432\u0430\u0442\u0438 \u043f\u0440\u043e\u0446\u0435\u0441 \u043e\u0442\u0440\u0438\u043c\u0430\u043d\u043d\u044f, \u0437\u0431\u0435\u0440\u0456\u0433\u0430\u043d\u043d\u044f \u0442\u0430 \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u0430\u043d\u043d\u044f \u0437\u043d\u0430\u043d\u044c, \u044f\u043a\u0456 \u043e\u0442\u0440\u0438\u043c\u0430\u043d\u043e \u0432 \u043f\u0440\u043e\u0446\u0435\u0441\u0456 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u043d\u043e\u0433\u043e \u043c\u043e\u0434\u0435\u043b\u044e\u0432\u0430\u043d\u043d\u044f. \u0423 \u0441\u0442\u0430\u0442\u0442\u0456 \u0442\u0430\u043a\u043e\u0436 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u043e \u043e\u0441\u043e\u0431\u043b\u0438\u0432\u043e\u0441\u0442\u0456 \u043f\u043e\u0431\u0443\u0434\u043e\u0432\u0438 \u0430\u0440\u0445\u0456\u0442\u0435\u043a\u0442\u0443\u0440\u0438 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043d\u043e\u0433\u043e \u0437\u0430\u0431\u0435\u0437\u043f\u0435\u0447\u0435\u043d\u043d\u044f \u0434\u043b\u044f \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u043d\u043e\u0433\u043e \u043c\u043e\u0434\u0435\u043b\u044e\u0432\u0430\u043d\u043d\u044f \u043d\u0430 \u043e\u0441\u043d\u043e\u0432\u0456 \u0456\u043d\u0442\u0435\u0440\u0432\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0430\u043d\u0430\u043b\u0456\u0437\u0443 \u0442\u0430 \u043e\u043d\u0442\u043e\u043b\u043e\u0433\u0456\u0447\u043d\u043e\u0433\u043e \u043f\u0456\u0434\u0445\u043e\u0434\u0443.\u00a0 \u041e\u043f\u0438\u0441\u0430\u043d\u043e \u0442\u0435\u0445\u043d\u043e\u043b\u043e\u0433\u0456\u044e \u0441\u0442\u0432\u043e\u0440\u0435\u043d\u043d\u044f \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043d\u043e\u0433\u043e \u0437\u0430\u0431\u0435\u0437\u043f\u0435\u0447\u0435\u043d\u043d\u044f \u043d\u0430 \u043e\u0441\u043d\u043e\u0432\u0456 \u0440\u043e\u0437\u0440\u043e\u0431\u043b\u0435\u043d\u043e\u0457 \u043e\u043d\u0442\u043e\u043b\u043e\u0433\u0456\u0447\u043d\u043e\u0457 \u043d\u0430\u0434\u0431\u0443\u0434\u043e\u0432\u0438 \u0434\u043b\u044f \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u043d\u043e\u0433\u043e \u043c\u043e\u0434\u0435\u043b\u044e\u0432\u0430\u043d\u043d\u044f \u0437 \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u0430\u043d\u043d\u044f\u043c \u0456\u043d\u0442\u0435\u0440\u0432\u0430\u043b\u044c\u043d\u0438\u0445 \u0434\u0430\u043d\u0438\u0445 \u0434\u043b\u044f \u0440\u0456\u0437\u043d\u0438\u0445 \u043e\u0431\u2019\u0454\u043a\u0442\u0456\u0432, \u0430 \u0442\u0430\u043a\u043e\u0436 \u0440\u0456\u0437\u043d\u0438\u0445 \u0444\u043e\u0440\u043c \u0440\u0435\u0430\u043b\u0456\u0437\u0430\u0446\u0456\u0457 \u0456\u043d\u0442\u0435\u0440\u0444\u0435\u0439\u0441\u0443 \u043a\u043e\u0440\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u0430. \u041d\u0430\u0432\u0435\u0434\u0435\u043d\u043e \u0440\u044f\u0434 \u0434\u0456\u0430\u0433\u0440\u0430\u043c, \u044f\u043a\u0456 \u0456\u043b\u044e\u0441\u0442\u0440\u0443\u044e\u0442\u044c \u043e\u0441\u043e\u0431\u043b\u0438\u0432\u043e\u0441\u0442\u0456 \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u0430\u043d\u043d\u044f \u043e\u043d\u0442\u043e\u043b\u043e\u0433\u0456\u0447\u043d\u043e\u0433\u043e \u043f\u0456\u0434\u0445\u043e\u0434\u0443 \u043d\u0430 \u043e\u0441\u043d\u043e\u0432\u0456 \u0456\u043d\u0442\u0435\u0440\u0432\u0430\u043b\u044c\u043d\u0438\u0445 \u0434\u0430\u043d\u0438\u0445 \u0442\u0430 \u043e\u043f\u0438\u0441\u0430\u043d\u043e \u043e\u0441\u043e\u0431\u043b\u0438\u0432\u043e\u0441\u0442\u0456 \u0439\u043e\u0433\u043e \u0456\u043d\u0442\u0435\u0440\u043f\u0440\u0435\u0442\u0430\u0446\u0456\u0457 \u0432 \u043f\u0440\u0438\u043a\u043b\u0430\u0434\u043d\u0438\u0445 \u0441\u0444\u0435\u0440\u0430\u0445, \u0437\u043e\u043a\u0440\u0435\u043c\u0430, \u0432 \u0437\u0430\u0434\u0430\u0447\u0430\u0445 \u0435\u043a\u043e\u043b\u043e\u0433\u0456\u0447\u043d\u043e\u0433\u043e \u043c\u043e\u043d\u0456\u0442\u043e\u0440\u0438\u043d\u0433\u0443.
\n\u041a\u043b\u044e\u0447\u043e\u0432\u0456 \u0441\u043b\u043e\u0432\u0430:<\/strong> \u0430\u0440\u0445\u0456\u0442\u0435\u043a\u0442\u0443\u0440\u0430 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043d\u043e\u0433\u043e \u0437\u0430\u0431\u0435\u0437\u043f\u0435\u0447\u0435\u043d\u043d\u044f, \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u043d\u0435 \u043c\u043e\u0434\u0435\u043b\u044e\u0432\u0430\u043d\u043d\u044f, \u0456\u043d\u0442\u0435\u0440\u0432\u0430\u043b\u044c\u043d\u0438\u0439 \u0430\u043d\u0430\u043b\u0456\u0437, \u043e\u043d\u0442\u043e\u043b\u043e\u0433\u0456\u0447\u043d\u0438\u0439 \u043f\u0456\u0434\u0445\u0456\u0434.<\/p>\n

\u0420\u043e\u0437\u0448\u0438\u0440\u0435\u043d\u0430 \u0430\u043d\u043e\u0442\u0430\u0446\u0456\u044f \u0430\u043d\u0433\u043b\u0456\u0439\u0441\u044c\u043a\u043e\u044e \u00a0\u043c\u043e\u0432\u043e\u044e<\/strong><\/p>\n

The paper substantiates the use of the ontological approach as an effective tool for managing the processes of building mathematical models based on interval data and using these models for applied problems. The use of the ontological model made it possible to formalize the process of obtaining, storing and using knowledge obtained in the process of mathematical modeling. The article also presents the features of building a software architecture for mathematical modeling based on interval analysis and an ontological approach. The technology for creating software based on the developed ontological add-on for mathematical modeling using interval data for various objects, as well as various forms of user interface implementation, is described. A number of diagrams illustrating the peculiarities of using the ontological approach based on interval data are presented and the peculiarities of its interpretation in applied fields, in particular, in the tasks of environmental monitoring, are described.
\nKeywords:<\/strong> software architecture, mathematical modeling, interval analysis, ontological approach.<\/p>\n

\u041b\u0456\u0442\u0435\u0440\u0430\u0442\u0443\u0440\u0430<\/strong><\/p>\n

    \n
  1. Rittle-Johnson, Bethany. (2017). Developing Mathematics Knowledge. Child Development Perspectives. 11.10.1111\/cdep.12229.<\/li>\n
  2. Gorgori\u00f3, N\u00faria & Albarrac\u00edn, Llu\u00eds & \u00c4rleb\u00e4ck, Jonas & Laine, Anu & Newton, Richard & Villarreal, Aitor. (2017). Funda-mental Mathematical Knowledge: progressing its specification.<\/li>\n
  3. Heather C. Hill, Merrie L. Blunk, Charalambos Y. Charalambous, Jennifer M. Lewis, Geoffrey C. Phelps, Laurie Sleep & Deborah Loewenberg Ball (2008). Mathematical Knowledge for Teaching and the Mathematical Quality of Instruction: An Exploratory Study, COGNITION AND INSTRUCTION, 26:4, 430-511, DOI: 10.1080\/07370000802177235<\/li>\n
  4. Suresh, P., G. Joglekar, Shuo-Huan Hsu, P. Akkisetty, Leaelaf Hailemariam, Ankur Jain, G. Reklaitis and V. Venkatasubra-manian. \u201cOnto MODEL: Ontological mathematical modeling knowledge management.\u201d Computer-aided chemical engi-neering 25 (2008): 985-990.<\/li>\n
  5. Cimiano, P. & V\u00f6lker, J. (2005). Text2Onto \u2013 a Framework for Ontology Learning and Data-driven Change Discovery. In Proceedings of the 10th International Conference on Applications of Natural Language to Information Systems (NLDB\u20192005), 227-238.<\/li>\n
  6. Moreno Torres, Benjam\u00ed, Christoph V\u00f6lker, Sarah M. Nagel, Thomas Hanke, and Sabine Kruschwitz. 2021. “An Ontology-Based Approach to Enable Data-Driven Research in the Field of NDT in Civil Engineering” Remote Sensing 13, no. 12: 2426. https:\/\/doi.org\/10.3390\/rs13122426<\/li>\n
  7. Madala H.R., Ivakhnenko A.G. Inductive learning algorithms for complex systems modeling. London, Tokyo: CRC Press, 1994.<\/li>\n
  8. \u0406\u0432\u0430\u0445\u043d\u0435\u043d\u043a\u043e \u041e.\u0413. \u0406\u043d\u0434\u0443\u043a\u0442\u0438\u0432\u043d\u0456 \u043c\u0435\u0442\u043e\u0434\u0438 \u0441\u0430\u043c\u043e\u043e\u0440\u0433\u0430\u043d\u0456\u0437\u0430\u0446\u0456\u0457 \u043c\u043e\u0434\u0435\u043b\u0435\u0439 \u0441\u043a\u043b\u0430\u0434\u043d\u0438\u0445 \u0441\u0438\u0441\u0442\u0435\u043c \/ \u0406\u0432\u0430\u0445\u043d\u0435\u043d\u043a\u043e \u041e.\u0413. \u2013 \u041a\u0438\u0457\u0432 : \u041d\u0430\u0443\u043a.\u0434\u0443\u043c\u043a\u0430, 1982.<\/li>\n
  9. Self-organizing methods in modeling: GMDH type algorithms. Edited by S.J.Farlow. New York, Basel: Marcel Decker Inc., 1984. 350 p.<\/li>\n
  10. Pidnebesna and V. Stepashko, “Ontology-Based Design of Inductive Modeling Tools,” 2021 11th International Conference on Advanced Computer Information Technologies (ACIT), 2021, pp. 731-734, doi: 10.1109\/ACIT52158.2021.9548121.<\/li>\n
  11. Urbieta, Itziar, Marcos Nieto, Mikel Garc\u00eda, and Oihana Otaegui. 2021. “Design and Implementation of an Ontology for Semantic Labeling and Testing: Automotive Global Ontology (AGO)” Applied Sciences 11, no. 17: 7782. https:\/\/doi.org\/10.3390\/app11177782<\/li>\n
  12. Debellis, Michael. (2021). A Practical Guide to Building OWL Ontologies Using Prot\u00e9g\u00e9 5.5 and Plugins.<\/li>\n
  13. \u0414\u0438\u0432\u0430\u043a \u041c. \u041f. \u0406\u0434\u0435\u043d\u0442\u0438\u0444\u0456\u043a\u0430\u0446\u0456\u044f \u0434\u0438\u0441\u043a\u0440\u0435\u0442\u043d\u0438\u0445 \u043c\u043e\u0434\u0435\u043b\u0435\u0439 \u0441\u0438\u0441\u0442\u0435\u043c \u0437 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0435\u043d\u0438\u043c\u0438 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0430\u043c\u0438 \u043d\u0430 \u043e\u0441\u043d\u043e\u0432\u0456 \u0430\u043d\u0430\u043b\u0456\u0437\u0443 \u0456\u043d\u0442\u0435\u0440\u0432\u0430\u043b\u044c\u043d\u0438\u0445 \u0434\u0430\u043d\u0438\u0445 : \u043c\u043e\u043d\u043e\u0433\u0440\u0430\u0444\u0456\u044f \/ \u041c. \u041f. \u0414\u0438\u0432\u0430\u043a, \u041d. \u041f. \u041f\u043e\u0440\u043f\u043b\u0438\u0446\u044f, \u0422. \u041c. \u0414\u0438\u0432\u0430\u043a. \u2013 \u0422\u0435\u0440\u043d\u043e\u043f\u0456\u043b\u044c : \u0415\u043a\u043e\u043d\u043e\u043c\u0456\u0447\u043d\u0430 \u0434\u0443\u043c\u043a\u0430 \u0422\u041d\u0415\u0423, 2018. \u2013 220 \u0441.<\/li>\n
  14. \u0414\u0438\u0432\u0430\u043a \u041c. \u041f. \u0417\u0430\u0434\u0430\u0447\u0456 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u043d\u043e\u0433\u043e \u043c\u043e\u0434\u0435\u043b\u044e\u0432\u0430\u043d\u043d\u044f \u0441\u0442\u0430\u0442\u0438\u0447\u043d\u0438\u0445 \u0441\u0438\u0441\u0442\u0435\u043c \u0437 \u0456\u043d\u0442\u0435\u0440\u0432\u0430\u043b\u044c\u043d\u0438\u043c\u0438 \u0434\u0430\u043d\u0438\u043c\u0438 : \u043c\u043e\u043d\u043e\u0433\u0440\u0430\u0444\u0456\u044f \/ \u041c. \u041f. \u0414\u0438\u0432\u0430\u043a. \u2013 \u0422. : \u0415\u043a\u043e\u043d\u043e\u043c. \u0434\u0443\u043c\u043a\u0430 \u0422\u041d\u0415\u0423, 2011. \u2013 215 c.<\/li>\n
  15. \u0414\u0438\u0432\u0430\u043a \u041c. \u041f. \u041f\u0440\u0438\u043a\u043b\u0430\u0434\u043d\u0456 \u0437\u0430\u0434\u0430\u0447\u0456 \u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u043d\u043e\u0457 \u0442\u0430 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u043e\u0457 \u0456\u0434\u0435\u043d\u0442\u0438\u0444\u0456\u043a\u0430\u0446\u0456\u0457 \u0456\u043d\u0442\u0435\u0440\u0432\u0430\u043b\u044c\u043d\u0438\u0445 \u043c\u043e\u0434\u0435\u043b\u0435\u0439 \u0441\u043a\u043b\u0430\u0434\u043d\u0438\u0445 \u043e\u0431’\u0454\u043a\u0442\u0456\u0432 [\u0415\u043b\u0435\u043a\u0442\u0440\u043e\u043d\u043d\u0438\u0439 \u0440\u0435\u0441\u0443\u0440\u0441] : \u043c\u043e\u043d\u043e\u0433\u0440\u0430\u0444\u0456\u044f \/ \u041c. \u041f. \u0414\u0438\u0432\u0430\u043a, \u0410. \u0412. \u041f\u0443\u043a\u0430\u0441, \u041d. \u041f. \u041f\u0430\u0440\u043f\u043b\u0438\u0446\u044f, \u0410. \u041c. \u041c\u0435\u043b\u044c\u043d\u0438\u043a. \u2013 \u0422\u0435\u0440\u043d\u043e\u043f\u0456\u043b\u044c : \u0423\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442\u0441\u044c\u043a\u0430 \u0434\u0443\u043c\u043a\u0430, 2021. \u2013 212 \u0441.<\/li>\n
  16. Dyvak M, Rot A, Pasichnyk R, Tymchyshyn V, Huliiev N, Maslyiak Y. Monitoring and Mathematical Modeling of Soil and Groundwater Contamination by Harmful Emissions of Nitrogen Dioxide from Motor Vehicles. Sustainability. 2021; 13(5):2768. https:\/\/doi.org\/10.3390\/su13052768<\/li>\n
  17. Mykola Dyvak,\u2004Andriy Melnyk,\u2004Artur Rot,\u2004Marcin Hernes,\u2004Andriy Pukas, “Ontology of mathematical modelling based on interval data”, Complexity, vol. 2022, Article ID 8062969, 24 pages, 2022.<\/li>\n<\/ol>\n

    References<\/strong><\/p>\n

      \n
    1. Rittle-Johnson, Bethany. (2017). Developing Mathematics Knowledge. Child Development Perspectives. 11.10.1111\/cdep.12229.<\/li>\n
    2. Gorgori\u00f3, N\u00faria & Albarrac\u00edn, Llu\u00eds & \u00c4rleb\u00e4ck, Jonas & Laine, Anu & Newton, Richard & Villarreal, Aitor. (2017). Funda-mental Mathematical Knowledge: progressing its specification.<\/li>\n
    3. Heather C. Hill, Merrie L. Blunk, Charalambos Y. Charalambous, Jennifer M. Lewis, Geoffrey C. Phelps, Laurie Sleep & Deborah Loewenberg Ball (2008). Mathematical Knowledge for Teaching and the Mathematical Quality of Instruction: An Exploratory Study, COGNITION AND INSTRUCTION, 26:4, 430-511, DOI: 10.1080\/07370000802177235<\/li>\n
    4. Suresh, P., G. Joglekar, Shuo-Huan Hsu, P. Akkisetty, Leaelaf Hailemariam, Ankur Jain, G. Reklaitis and V. Venkatasubra-manian. \u201cOnto MODEL: Ontological mathematical modeling knowledge management.\u201d Computer-aided chemical engi-neering 25 (2008): 985-990.<\/li>\n
    5. Cimiano, P. & V\u00f6lker, J. (2005). Text2Onto \u2013 a Framework for Ontology Learning and Data-driven Change Discovery. In Proceedings of the 10th International Conference on Applications of Natural Language to Information Systems (NLDB\u20192005), 227-238.<\/li>\n
    6. Moreno Torres, Benjam\u00ed, Christoph V\u00f6lker, Sarah M. Nagel, Thomas Hanke, and Sabine Kruschwitz. 2021. “An Ontology-Based Approach to Enable Data-Driven Research in the Field of NDT in Civil Engineering” Remote Sensing 13, no. 12: 2426. https:\/\/doi.org\/10.3390\/rs13122426<\/li>\n
    7. Madala H.R., Ivakhnenko A.G. Inductive learning algorithms for complex systems modeling. London, Tokyo: CRC Press, 1994.<\/li>\n
    8. Ivakhnenko O.H. Induktyvni metody samoorhanizatsii modelei skladnykh system. Kyiv: Nauk.dumka, 1982.<\/li>\n
    9. Self-organizing methods in modeling: GMDH type algorithms. Edited by S.J.Farlow. New York, Basel: Marcel Decker Inc., 1984. 350 p.<\/li>\n
    10. Pidnebesna and V. Stepashko, “Ontology-Based Design of Inductive Modeling Tools,” 2021 11th International Conference on Advanced Computer Information Technologies (ACIT), 2021, pp. 731-734, doi: 10.1109\/ACIT52158.2021.9548121.<\/li>\n
    11. Urbieta, Itziar, Marcos Nieto, Mikel Garc\u00eda, and Oihana Otaegui. 2021. “Design and Implementation of an Ontology for Semantic Labeling and Testing: Automotive Global Ontology (AGO)” Applied Sciences 11, no. 17: 7782. https:\/\/doi.org\/10.3390\/app11177782<\/li>\n
    12. Debellis, Michael. (2021). A Practical Guide to Building OWL Ontologies Using Prot\u00e9g\u00e9 5.5 and Plugins.<\/li>\n
    13. Dyvak M. P. Identyfikatsiia dyskretnykh modelei system z rozpodilenymy parametramy na osnovi analizu intervalnykh danykh : monohrafiia \/ M. P. Dyvak, N. P. Porplytsia, T. M. Dyvak. \u2013 Ternopil: Ekonomichna dumka TNEU, 2018. \u2013 220 s.<\/li>\n
    14. Dyvak M. P. Zadachi matematychnoho modeliuvannia statychnykh system z intervalnymy danymy : monohrafiia \/ M. P. Dyvak. – T. : Ekonom. dumka TNEU, 2011. – 215 s.<\/li>\n
    15. Dyvak M. P. Prykladni zadachi strukturnoi ta parametrychnoi identyfikatsii intervalnykh modelei skladnykh obiektiv [Elektronnyi resurs] : monohrafiia \/ M. P. Dyvak, A. V. Pukas, N. P. Parplytsia, A. M. Melnyk. – Ternopil : Universytetska dumka, 2021. – 212 s.<\/li>\n
    16. Dyvak M., Rot A., Pasichnyk R., Tymchyshyn V., Huliiev N., Maslyiak Y. Monitoring and Mathematical Modeling of Soil and Groundwater Contamination by Harmful Emissions of Nitrogen Dioxide from Motor Vehicles. Sustainability. 2021; 13(5):2768. https:\/\/doi.org\/10.3390\/su13052768<\/li>\n
    17. Mykola Dyvak,\u2004Andriy Melnyk,\u2004Artur Rot,\u2004Marcin Hernes,\u2004Andriy Pukas, “Ontology of mathematical modelling based on interval data”, Complexity, vol. 2022, Article ID 8062969, 24 pages, 2022.<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":3,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[67],"tags":[],"_links":{"self":[{"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/posts\/13392"}],"collection":[{"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=13392"}],"version-history":[{"count":4,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/posts\/13392\/revisions"}],"predecessor-version":[{"id":14159,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/posts\/13392\/revisions\/14159"}],"wp:attachment":[{"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=13392"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=13392"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=13392"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}