Development of Software to Test Transitivity of Fuzzy Relations

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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, 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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