• М. Kukhar O.M. Beketov National University of Urban Economy in Kharkiv


formalization, theory, predicate logic, corpus linguistics, ontology, set theory, model


World experience shows that intelligent information systems for decision support are an integral part of modern society functioning. The basis of many tasks that lies in the development of decision support systems is the presentation of knowledge of a particular subject field. Each decision-support system, depending on the application field, has its own characteristics that characterize the main objectives of this subject area, among which, for example, the presentation of knowledge of multi-level administration systems for decision support purposes. In modern conditions, mathematical modeling is the most effective for the formal representation of knowledge in decision support systems which can be used to represent declarative knowledge of land relations.

Therefore, urgent scientific practical problem is relevant now that lies in the representing contradictory knowledge in multilevel administration systems.

The scientific and practical task envisages the transformation of declarative knowledge of the subject field in the form of mathematical and informational models using elements of set theory.

The task envisages the transformation of declarative knowledge in the form of mathematical models with using set theory.

The research used methods: analysis, set theory, mathematical modeling, corpus linguistics, ontological engineering.

The results of the study are important for organizing activities in a variety of industries using a large body of documents and laws.

The purpose of this work is to develop models of knowledge representation on the use of set theory in ontology.

The object of research is the process of decision support in multilevel systems.

Subject of research is the mathematical models of knowledge representation in multilevel administration systems using set theory.

Author Biography

М. Kukhar, O.M. Beketov National University of Urban Economy in Kharkiv

Candidate of Technical Sciences, Assistant Professor


1. Manos, B., Bournaris, T., Papathanasiou, J., Moulogianni, C., Voudouris, K. A. (2007) DSS for Agricultural Land Use, Water Management and Environmental Protection. Environment, Ecosystems and Sustainable Development, Agios Nikolaos, Greece, 3,. 340-345.
2. Carlon, C., Critto, A., Ramieri, E., Marcomini, A. (2007) Desyre decision support system for the rehabilitation of contaminated mega-sites. Integrated Environmental Assessment and Management, 3, 211–222.
3. Giove, S., Agostini, P., Critto, A., Semenzin, E., Marcomini, A. (2006) Decision Support System for the management of contaminated sites: a multi-criteria approach. Environmental Security in Harbors and Coastal Areas: Management Using Comparative Risk Assessment and Multi-Criteria Decision Analysis. Amsterdam, 267–273.
4. Rajbhandari, S., Aryal, J., Osborn, J., Musk, R., Lucieer, A. (2017) Benchmarking the Applicability of Ontology in Geographic Object-Based Image Analysis. Discipline of Geography and Spatial Sciences, University of Tasmania, 1-24.
5. Nikonenko, A.A. (2009) Obzor baz znaniy ontologicheskogo [Ontological Knowledge Base Overview]. Iskusstvennyy intellektyu, 4, 208-219.
6. Solovyev, V.D.. Dobrov, B.V. Ivanov, V.V. (2006) Lukashevich N.V. Ontologii i tezaurusy [Ontologies and Thesauri]. Kiev, Moskva, 173.
7. Ancybor, D. V. (2015) Metody stvorennja ta vykorystannja ontolohij jak osnovy informacijnyx system. [Methods of creating and using ontologies as the basis of information systems]. Kiеv, Nacionalʹnyj texničnyj universytet Ukrajiny «Kyjivsʹkyj politexničnyj instytut», 87.
8. Efimenko, I.V.. Khoroshevskiy, V.F. (2011) Ontologicheskoye modelirovaniye: podkhody. modeli. metody. sredstva. resheniya. [Ontological modeling: approaches, models, methods, tools, solutions]. Moscow, Izd. dom Vysshey shkoly ekonomiki, 76.
9. Dietz, J. Enterprise Engineering Enterprise Ontology. Retrieved from: (date of appeal 20.01.2018).
10. TOVE Ontology Project. Retrieved from: (date of appeal 20.03.2020).
11. Ferndndez, M., Gomez-Perez, A., Juristo, N. METHONTOLOGY: From Ontological Art Towards Ontological Engineering. Retrieved from: (date of appeal 20.03.2020).
12. IDEF5 Method Report. Wright-Patterson Air Force Base, Ohio, September 1994. Retrieved from: (date of appeal 20.03.2020)
13. Gruber, T. (1995) Towards principles for the design of Ontologies used for knowledge sharing. International Journal of Human-Computer Studies, 43(5/6), 907-928.
14. Gladun, A.Ya.. Rogushina, Yu.V. (2006) Ontologii v korporativnykh sistemakh. Chast I. [Ontologies in corporate systems. Part I] Korporativnyye sistemy, 1, 41-47.



How to Cite

Kukhar М. (2020). APPLICATION OF THE THEORY OF THE SETS TO REPRESENT THE LINGUISTIC OBJECTS IN ONTOLOGY: Array. Municipal Economy of Cities, 3(156), 94–98. Retrieved from