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Modelling and Data Analysis
2023. Vol. 13, no. 1, 36–43
doi:10.17759/mda.2023130104
ISSN: 2219-3758 / 2311-9454 (online)

Development of Software to Test Transitivity of Fuzzy Relations

102

S.O. Smerchinskaya, D.M. Kiselev

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Abstract

The problem of fuzzy relation transitivity checking and transitive closure finding is considered in the paper. Solution algorithms are formulated and corresponding software is described. A logical scheme is given.

General Information

Keywords: fuzzy relations, transitivity, transitive closure

Journal rubric: Optimization Methods

Article type: scientific article

DOI: https://doi.org/10.17759/mda.2023130104

Received: 18.01.2023

Accepted:

For citation: Smerchinskaya S.O., Kiselev D.M. Development of Software to Test Transitivity of Fuzzy Relations. Modelirovanie i analiz dannikh = Modelling and Data Analysis, 2023. Vol. 13, no. 1, pp. 36–43. DOI: 10.17759/mda.2023130104. (In Russ., аbstr. in Engl.)

References

  1. Smerchinskaya S.O., Yashina N.P. Agregirovanie nechetkih otnosheniy strogogo poryadka [Aggregation of strict order fuzzy relations]. Izvestiya vysshih uchebnyh zavedenij. Matematika. [News of Higher Education Institutions. Mathematics.], 2022, no. 7, pp. 30-43.
  2. Guseva A.I., Tikhomirova A.N. Diskretnaya matematika dlya informatikov i economistov: Uchebnoe posobie. [Discrete mathematics for Computer Scientists and Economists: Textbook]. ‒Moscow: Publ. NRNU MEPhI, 2010, pp. 260-264. (In Russ.).
  3. Gubko M.V. Lekcii po prinyatiyu resheniy v usloviyah nechetkoy informacii. Versiya 1. [ Lectures on decision-making in a fuzzy information environment. Version 1.]. ‒Moscow.: ICS RAS, 2004. Available at: http://www.aup.ru/files/m539/m539.pdf (Accessed 19.01.2023). (In Russ.).

Information About the Authors

Svetlana O. Smerchinskaya, PhD in Physics and Matematics, Associate Professor, Department of Mathematical Cybernetics, Institute of Computer Science and Applied Mathematics, Moscow Aviation Institute (National Research University) (MAI), Moscow, Russia, ORCID: https://orcid.org/0000-0003-0614-1835, e-mail: svetlana_os@mail.ru

Daniil M. Kiselev, Graduate Student of the Institute of Computer Sciences and Applied Mathematics, Moscow Aviation Institute (National Research University) (MAI), Moscow, Russia, ORCID: https://orcid.org/0000-0002-4509-3533, e-mail: kiselevdaniilm@gmail.com

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