{"id":2455,"date":"2025-06-22T13:28:56","date_gmt":"2025-06-22T12:28:56","guid":{"rendered":"http:\/\/newskbncran.ru\/?page_id=2455"},"modified":"2026-04-13T10:38:41","modified_gmt":"2026-04-13T09:38:41","slug":"27-2-5","status":"publish","type":"page","link":"https:\/\/izvestiyakbncran.ru\/index.php\/27-2-5\/","title":{"rendered":"27.2.5"},"content":{"rendered":"\n

\u041a\u043e\u043c\u043f\u044c\u044e\u0442\u0435\u0440\u043d\u043e\u0435 \u043c\u043e\u0434\u0435\u043b\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435 \u0432 \u0441\u0440\u0435\u0434\u0435 Maple \u0434\u0438\u043d\u0430\u043c\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u043f\u0440\u043e\u0446\u0435\u0441\u0441\u043e\u0432 \u0432 \u0443\u0441\u043b\u043e\u0432\u0438\u044f\u0445 \u043d\u0435\u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u043e\u0441\u0442\u0438 \u043d\u0430 \u043f\u0440\u0438\u043c\u0435\u0440\u0435 \u0437\u0430\u0434\u0430\u0447\u0438 \u043c\u0435\u0442\u0435\u043e\u0440\u043e\u043b\u043e\u0433\u0438\u0438<\/strong><\/h1>\n\n\n\n

\u041e. \u0412. \u041a\u0443\u0434\u0440\u0438\u043d\u0441\u043a\u0430\u044f, \u0420. \u0418. \u041f\u0430\u0440\u043e\u0432\u0438\u043a<\/strong><\/strong><\/p>\n\n\n\n

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\u0410\u043d\u043d\u043e\u0442\u0430\u0446\u0438\u044f.<\/strong> <\/em>\u0412 \u0441\u0442\u0430\u0442\u044c\u0435 \u043f\u0440\u043e\u0432\u043e\u0434\u0438\u0442\u0441\u044f \u043a\u043e\u043c\u043f\u044c\u044e\u0442\u0435\u0440\u043d\u043e\u0435 \u043c\u043e\u0434\u0435\u043b\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435 \u043f\u043e\u0433\u043e\u0434\u043d\u044b\u0445 \u0443\u0441\u043b\u043e\u0432\u0438\u0439 \u043d\u0430 \u043e\u0441\u043d\u043e\u0432\u0435 \u0434\u0430\u043d\u043d\u044b\u0445 \u0430\u0442\u043c\u043e\u0441\u0444\u0435\u0440\u043d\u043e\u0433\u043e \u0434\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u0441 \u043f\u0440\u0438\u0432\u043b\u0435\u0447\u0435\u043d\u0438\u0435\u043c \u0442\u0435\u043e\u0440\u0438\u0438 \u043d\u0435\u0447\u0435\u0442\u043a\u0438\u0445 \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432. \u0412 \u0441\u0440\u0435\u0434\u0435 \u043a\u043e\u043c\u043f\u044c\u044e\u0442\u0435\u0440\u043d\u043e\u0439 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0438 Maple2021 \u0441 \u043f\u0440\u0438\u0432\u043b\u0435\u0447\u0435\u043d\u0438\u0435\u043c \u0431\u0438\u0431\u043b\u0438\u043e\u0442\u0435\u043a\u0438 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0430\u043b\u0433\u0435\u0431\u0440\u044b LinearAlgebra \u0431\u044b\u043b \u0440\u0435\u0430\u043b\u0438\u0437\u043e\u0432\u0430\u043d \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c \u0440\u0430\u0441\u0447\u0435\u0442\u0430 \u0434\u0435\u0442\u0435\u0440\u043c\u0438\u043d\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u044b\u0445 \u0438 \u0438\u043d\u0442\u0435\u0433\u0440\u0430\u043b\u044c\u043d\u044b\u0445 \u0438\u043d\u0434\u0435\u043a\u0441\u043e\u0432 \u0440\u0430\u043d\u0436\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f \u0434\u043b\u044f \u043d\u0435\u0447\u0435\u0442\u043a\u0438\u0445 \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0437\u0443\u044e\u0442 \u043f\u043e\u0433\u043e\u0434\u043d\u044b\u0435 \u0443\u0441\u043b\u043e\u0432\u0438\u044f. \u0418\u0441\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u043d\u0438\u044f \u043f\u043e\u043a\u0430\u0437\u0430\u043b\u0438, \u0447\u0442\u043e \u043f\u0440\u0438 \u0443\u043c\u0435\u0440\u0435\u043d\u043d\u043e\u043c \u0430\u0442\u043c\u043e\u0441\u0444\u0435\u0440\u043d\u043e\u043c \u0434\u0430\u0432\u043b\u0435\u043d\u0438\u0438 \u043d\u0430 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0439 \u0434\u0435\u043d\u044c \u043d\u0430\u0431\u043b\u044e\u0434\u0430\u0435\u0442\u0441\u044f \u0431\u043e\u043b\u0435\u0435 \u0441\u043e\u043b\u043d\u0435\u0447\u043d\u0430\u044f \u043f\u043e\u0433\u043e\u0434\u0430 \u043f\u043e \u0441\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044e \u0441 \u0441\u0438\u0442\u0443\u0430\u0446\u0438\u0435\u0439, \u043a\u043e\u0433\u0434\u0430 \u0434\u0430\u0432\u043b\u0435\u043d\u0438\u0435 \u043a\u0440\u0430\u0439\u043d\u0435 \u043d\u0438\u0437\u043a\u043e\u0435. \u041d\u0430 \u043a\u043e\u043d\u043a\u0440\u0435\u0442\u043d\u044b\u0445 \u043f\u0440\u0438\u043c\u0435\u0440\u0430\u0445 \u0431\u044b\u043b\u043e \u043f\u043e\u043a\u0430\u0437\u0430\u043d\u043e, \u0447\u0442\u043e \u0438\u043d\u0442\u0435\u0433\u0440\u0430\u043b\u044c\u043d\u044b\u0435 \u0438\u043d\u0434\u0435\u043a\u0441\u044b \u0440\u0430\u043d\u0436\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f \u043e\u0431\u0435\u0441\u043f\u0435\u0447\u0438\u0432\u0430\u044e\u0442 \u0431\u043e\u043b\u0435\u0435 \u0442\u043e\u0447\u043d\u044b\u0435 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u044b, \u0447\u0435\u043c \u0434\u0435\u0442\u0435\u0440\u043c\u0438\u043d\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u044b\u0435 \u0438\u043d\u0434\u0435\u043a\u0441\u044b \u0440\u0430\u043d\u0436\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f.<\/p>\n\n\n\n

\u041a\u043b\u044e\u0447\u0435\u0432\u044b\u0435 \u0441\u043b\u043e\u0432\u0430:<\/em><\/strong> <\/em>\u043c\u043e\u0434\u0435\u043b\u044c, \u043d\u0435\u0447\u0435\u0442\u043a\u0438\u0435 \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u0430, \u0438\u043d\u0442\u0435\u0433\u0440\u0430\u043b\u044c\u043d\u044b\u0435 \u0438\u043d\u0434\u0435\u043a\u0441\u044b \u0440\u0430\u043d\u0436\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f, \u043d\u0435\u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u043e\u0441\u0442\u044c, \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c, Maple2021, \u0430\u0442\u043c\u043e\u0441\u0444\u0435\u0440\u043d\u043e\u0435 \u0434\u0430\u0432\u043b\u0435\u043d\u0438\u0435, \u043f\u043e\u0433\u043e\u0434\u0430<\/p>\n\n\n\n

\u0414\u043b\u044f \u0446\u0438\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f.<\/strong> \u041a\u0443\u0434\u0440\u0438\u043d\u0441\u043a\u0430\u044f \u041e. \u0412., \u041f\u0430\u0440\u043e\u0432\u0438\u043a \u0420. \u0418. \u041a\u043e\u043c\u043f\u044c\u044e\u0442\u0435\u0440\u043d\u043e\u0435 \u043c\u043e\u0434\u0435\u043b\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435 \u0432 \u0441\u0440\u0435\u0434\u0435 Maple \u0434\u0438\u043d\u0430\u043c\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u043f\u0440\u043e\u0446\u0435\u0441\u0441\u043e\u0432 \u0432 \u0443\u0441\u043b\u043e\u0432\u0438\u044f\u0445 \u043d\u0435\u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u043e\u0441\u0442\u0438 \u043d\u0430 \u043f\u0440\u0438\u043c\u0435\u0440\u0435 \u0437\u0430\u0434\u0430\u0447\u0438 \u043c\u0435\u0442\u0435\u043e\u0440\u043e\u043b\u043e\u0433\u0438\u0438 \/\/ \u0418\u0437\u0432\u0435\u0441\u0442\u0438\u044f \u041a\u0430\u0431\u0430\u0440\u0434\u0438\u043d\u043e-\u0411\u0430\u043b\u043a\u0430\u0440\u0441\u043a\u043e\u0433\u043e \u043d\u0430\u0443\u0447\u043d\u043e\u0433\u043e \u0446\u0435\u043d\u0442\u0440\u0430 \u0420\u0410\u041d. 2025. \u0422. 27. \u2116 2. \u0421. 74\u201385.  DOI: 10.35330\/1991-6639-2025-27-2-74-85<\/p>\n\n\n\n

\u0421\u043f\u0438\u0441\u043e\u043a \u043b\u0438\u0442\u0435\u0440\u0430\u0442\u0443\u0440\u044b<\/summary>\n
    \n
  1. Zadeh L.A. Fuzzy sets. Information and Control<\/em>. 1965. Vol. 8. No. 3. Pp. 338\u2013353.<\/li>\n\n\n\n
  2. Dubois D.J. Fuzzy sets and systems: theory and applications. New York: Academic press, 1980. Vol. 144.<\/li>\n\n\n\n
  3. Zadeh L.A., Aliev R.A. Fuzzy logic theory and applications: part I and part II. World Scientific Publishing, 2018. DOI: 10.1142\/10936<\/li>\n\n\n\n
  4. Voskoglou M.G. Fuzzy sets, fuzzy logic and their applications. MDPI<\/em>, 2020. DOI: 10.3390\/books978-3-03928-521-1<\/li>\n\n\n\n
  5. Pedrycz W. An introduction to computing with fuzzy sets. IEEE ASSP Magazine<\/em>. 2021. Vol. 190. 283 p.<\/li>\n\n\n\n
  6. Yankovyi O., Tsimoshynska O., Koval V., Kazan\u00e7o\u011flu Y. Applying fuzzy logic to the assessment of latent economic features. Advances in soft computing applications<\/em>. 2023. Pp. 1\u201321. DOI: 10.1201\/9781003425885-1<\/li>\n\n\n\n
  7. Suzuki A., Negishi E. Fuzzy logic systems for healthcare applications. Journal of Biomedical<\/em> and Sustainable Healthcare Applications<\/em>. 2024. Vol. 4. No. 1. DOI: 10.53759\/0088\/jbsha20240401<\/li>\n\n\n\n
  8. Cao H., Chen G. Some applications of fuzzy sets to meteorological forecasting. Fuzzy Sets and Systems.<\/em> 1983. Vol. 9. No. 1\u20133. Pp. 1\u201312.<\/li>\n\n\n\n
  9. G\u00f3mez V., Casanovas A. Fuzzy logic and meteorological variables: a case study of solar irradiance. Fuzzy Sets and Systems<\/em>. 2002. Vol. 126. No. 1. Pp. 121\u2013128.<\/li>\n\n\n\n
  10. Aprianti W., Mukhlash I. The application of rough set and fuzzy rough set based algorithm to classify incomplete meteorological data. 2014 International Conference on Data and Software Engineering (ICODSE)<\/em>. IEEE, 2014. Pp. 1\u20136.<\/li>\n\n\n\n
  11. Ma\u0142olepsza O., Miko\u0142ajewski D., Prokopowicz P. Using fuzzy logic to analyse weather conditions. Electronics.<\/em> 2025. Vol. 14. No. 1. P. 85.<\/li>\n\n\n\n
  12. Thompson I. Understanding Maple. UK: Cambridge University Press, 2016. 228 p.<\/li>\n\n\n\n
  13. \u0422\u0440\u0443\u0441\u043e\u0432 \u041f. \u0412.<\/em> \u0412\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0432 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u043c\u043e\u0434\u0435\u043b\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435. \u041c.: \u0423\u043d\u0438\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442\u0441\u043a\u0430\u044f \u043a\u043d\u0438\u0433\u0430, \u041b\u043e\u0433\u043e\u0441, 2007. 440 \u0441. Trusov P.V. Vvedeniye v matematicheskoye modelirovaniye<\/em> [Introduction to mathematical modeling]. Moscow: Universitetskaya kniga, Logos. 2007. 440 p.  (In Russian)<\/li>\n\n\n\n
  14. Kudrinskaya O.V. Application of the tablective processor while solving the optimization  problems.  Vestnik  KRAUNC.  Fiz.-Mat.  Nauki<\/em>.  2017.  No. 1(17).  Pp. 68\u201381. DOI: 10.18454\/2079-6641-2017-17-1-68-81<\/li>\n\n\n\n
  15. Mazandarani M., Xiu L. A review on fuzzy differential equations. IEEE access<\/em>. 2021. Vol. 9. Pp. 62195\u201362211. DOI: 10.1109\/ACCESS.2021.3074245<\/li>\n\n\n\n
  16. Mazandarani M., Najariyan M. Fuzzy differential equations: conceptual interpretations. Evolutionary Intelligence<\/em>. 2024. Vol. 17. No. 1. Pp. 441\u2013456. DOI: 10.1007\/s12065-022-00716-z<\/li>\n<\/ol>\n<\/details>\n\n\n\n
    \u0418\u043d\u0444\u043e\u0440\u043c\u0430\u0446\u0438\u044f \u043e\u0431 \u0430\u0432\u0442\u043e\u0440\u0430\u0445<\/summary>\n
    \n

    \u041a\u0443\u0434\u0440\u0438\u043d\u0441\u043a\u0430\u044f \u041e\u043b\u044c\u0433\u0430 \u0412\u043b\u0430\u0434\u0438\u043c\u0438\u0440\u043e\u0432\u043d\u0430<\/strong>, \u0430\u0441\u043f\u0438\u0440\u0430\u043d\u0442, \u041a\u0430\u043c\u0447\u0430\u0442\u0441\u043a\u0438\u0439 \u0433\u043e\u0441\u0443\u0434\u0430\u0440\u0441\u0442\u0432\u0435\u043d\u043d\u044b\u0439 \u0443\u043d\u0438\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442 \u0438\u043c\u0435\u043d\u0438 \u0412\u0438\u0442\u0443\u0441\u0430 \u0411\u0435\u0440\u0438\u043d\u0433\u0430;<\/p>\n\n\n\n

    683032, \u0420\u043e\u0441\u0441\u0438\u044f, \u0433. \u041f\u0435\u0442\u0440\u043e\u043f\u0430\u0432\u043b\u043e\u0432\u0441\u043a-\u041a\u0430\u043c\u0447\u0430\u0442\u0441\u043a\u0438\u0439, \u0443\u043b. \u041f\u043e\u0433\u0440\u0430\u043d\u0438\u0447\u043d\u0430\u044f, 4;<\/p>\n\n\n\n

    kudrinskayakam2020@gmail.com, ORCID: https:\/\/orcid.org\/0009-0008-5874-0534, SPIN-\u043a\u043e\u0434: 4892-1103<\/p>\n\n\n\n

    \u041f\u0430\u0440\u043e\u0432\u0438\u043a \u0420\u043e\u043c\u0430\u043d \u0418\u0432\u0430\u043d\u043e\u0432\u0438\u0447<\/strong>, \u0434-\u0440 \u0444\u0438\u0437.-\u043c\u0430\u0442. \u043d\u0430\u0443\u043a, \u0434\u043e\u0446\u0435\u043d\u0442, \u043f\u0440\u043e\u0444\u0435\u0441\u0441\u043e\u0440 \u0414\u0412\u041e \u0420\u0410\u041d, \u043f\u0440\u043e\u0444\u0435\u0441\u0441\u043e\u0440 \u043a\u0430\u0444\u0435\u0434\u0440\u044b \u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0442\u0438\u043a\u0438 \u0438 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0438, \u041a\u0430\u043c\u0447\u0430\u0442\u0441\u043a\u0438\u0439 \u0433\u043e\u0441\u0443\u0434\u0430\u0440\u0441\u0442\u0432\u0435\u043d\u043d\u044b\u0439 \u0443\u043d\u0438\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442 \u0438\u043c\u0435\u043d\u0438 \u0412\u0438\u0442\u0443\u0441\u0430 \u0411\u0435\u0440\u0438\u043d\u0433\u0430;<\/p>\n\n\n\n

    683032, \u0420\u043e\u0441\u0441\u0438\u044f, \u0433. \u041f\u0435\u0442\u0440\u043e\u043f\u0430\u0432\u043b\u043e\u0432\u0441\u043a-\u041a\u0430\u043c\u0447\u0430\u0442\u0441\u043a\u0438\u0439, \u0443\u043b. \u041f\u043e\u0433\u0440\u0430\u043d\u0438\u0447\u043d\u0430\u044f, 4;parovik@ikir.ru, ORCID: https:\/\/orcid.org\/0000-0002-1576-1860, SPIN-\u043a\u043e\u0434: 4295-6894<\/p>\n<\/div>\n<\/details>\n","protected":false},"excerpt":{"rendered":"

    \u041a\u043e\u043c\u043f\u044c\u044e\u0442\u0435\u0440\u043d\u043e\u0435 \u043c\u043e\u0434\u0435\u043b\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435 \u0432 \u0441\u0440\u0435\u0434\u0435 Maple \u0434\u0438\u043d\u0430\u043c\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u043f\u0440\u043e\u0446\u0435\u0441\u0441\u043e\u0432 \u0432 \u0443\u0441\u043b\u043e\u0432\u0438\u044f\u0445 \u043d\u0435\u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u043e\u0441\u0442\u0438 \u043d\u0430 \u043f\u0440\u0438\u043c\u0435\u0440\u0435 \u0437\u0430\u0434\u0430\u0447\u0438 \u043c\u0435\u0442\u0435\u043e\u0440\u043e\u043b\u043e\u0433\u0438\u0438 \u041e. \u0412. \u041a\u0443\u0434\u0440\u0438\u043d\u0441\u043a\u0430\u044f, \u0420. \u0418. \u041f\u0430\u0440\u043e\u0432\u0438\u043a \u0417\u0430\u0433\u0440\u0443\u0437\u0438\u0442\u044c \u043f\u043e\u043b\u043d\u044b\u0439 \u0442\u0435\u043a\u0441\u0442 \u0410\u043d\u043d\u043e\u0442\u0430\u0446\u0438\u044f. \u0412 \u0441\u0442\u0430\u0442\u044c\u0435 \u043f\u0440\u043e\u0432\u043e\u0434\u0438\u0442\u0441\u044f \u043a\u043e\u043c\u043f\u044c\u044e\u0442\u0435\u0440\u043d\u043e\u0435 \u043c\u043e\u0434\u0435\u043b\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435 \u043f\u043e\u0433\u043e\u0434\u043d\u044b\u0445 \u0443\u0441\u043b\u043e\u0432\u0438\u0439 \u043d\u0430 \u043e\u0441\u043d\u043e\u0432\u0435 \u0434\u0430\u043d\u043d\u044b\u0445 \u0430\u0442\u043c\u043e\u0441\u0444\u0435\u0440\u043d\u043e\u0433\u043e \u0434\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u0441 \u043f\u0440\u0438\u0432\u043b\u0435\u0447\u0435\u043d\u0438\u0435\u043c \u0442\u0435\u043e\u0440\u0438\u0438 \u043d\u0435\u0447\u0435\u0442\u043a\u0438\u0445 \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432. \u0412 \u0441\u0440\u0435\u0434\u0435 \u043a\u043e\u043c\u043f\u044c\u044e\u0442\u0435\u0440\u043d\u043e\u0439 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0438 Maple2021 \u0441 \u043f\u0440\u0438\u0432\u043b\u0435\u0447\u0435\u043d\u0438\u0435\u043c \u0431\u0438\u0431\u043b\u0438\u043e\u0442\u0435\u043a\u0438 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0430\u043b\u0433\u0435\u0431\u0440\u044b LinearAlgebra \u0431\u044b\u043b \u0440\u0435\u0430\u043b\u0438\u0437\u043e\u0432\u0430\u043d \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c \u0440\u0430\u0441\u0447\u0435\u0442\u0430 \u0434\u0435\u0442\u0435\u0440\u043c\u0438\u043d\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u044b\u0445 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-2455","page","type-page","status-publish","hentry"],"yoast_head":"\n27.2.5 - 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