kaz44Вестник Университета Шакарима. Серия технические наукиBulletin of Shakarim University. Technical Sciences2788-79953006-0524«Шәкәрім университеті» КеАҚ10.53360/2788-7995-2024-2(14)-5kaz44-942Research ArticleАВТОМАТИЗАЦИЯ И ИНФОРМАЦИОННЫЕ ТЕХНОЛОГИИ (ОРИГИНАЛЬНАЯ СТАТЬЯ)AUTOMATION AND INFORMATION TECHNOLOGY (ORIGINAL ARTICLE)ЗАДАЧИ ПРИНЯТИЯ НЕЧЕТКИХ РЕШЕНИЙ ДЛЯ УПРАВЛЕНИЯ РЕЖИМАМИ РАБОТЫ ТЕХНОЛОГИЧЕСКИХ СИСТЕМ И МЕТОДЫ ИХ РЕШЕНИЯFUZZY DECISION-MAKING PROBLEMS FOR CONTROLLING OPERATING MODES OF TECHNOLOGICAL SYSTEMS AND METHODS FOR SOLVING THEMОспановЕ. А.OspanovY. A.

Ербол Амангазович Оспанов – PhD, ассоциированный профессор кафедры Автоматизация, информационные технологии и градостроительство 

071412, Республика Казахстан, г. Семей, ул. Глинки, 20 А 

Yerbol Amangazovich Ospanov – PhD, Associate Professor of the Department of Automation, Information Technology and Urban Planning

 071412, Republic of Kazakhstan, Semey, 20 A Glinka Street 

78oea@mail.ruТурарбайН. С.TurarbaiN. S.

Нурбек Сүйкімбекұлы Турарбай – магистрант 2 курса 

071412, Республика Казахстан, г. Семей, ул. Глинки, 20 А 

Nurbek Suykimbekuly Turarbai – is a 2nd–year undergraduate student at the National Academy of Sciences 

 071412, Republic of Kazakhstan, Semey, 20 A Glinka Street 

БайрактарМ.BayraktarM.

Мирт Байрактар – PhD докторант 

07070, Турция, Анталия, Пынарбаши Мах. Бульвар Думлупинар, Кампус Коньяалты 

Mert Bayraktar – is a PhD doctoral student 

Pınarbası Mah. Dumlupinar Boulevard 07070 Campus Konyaalti, Antalya, Turkey 

Университет имени Шакарима города СемейКазахстанShakarim Semey UniversityKazakhstanУниверситет АкденизТурцияAkdeniz UniversityTurkey20242906202412(14)3343Copyright © Оспанов Е.А., Турарбай Н.С., Байрактар М., 20242024Оспанов Е.А., Турарбай Н.С., Байрактар М.Ospanov Y.A., Turarbai N.S., Bayraktar M.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://tech.vestnik.shakarim.kz/jour/article/view/942

Формализованы и получены постановки задач принятия решений для управления нечеткими технологическими объектами и предложены методы их решения. Объектом исследования являются пункты обогрева «горячего» магистрального нефтепровода. Поскольку такие объекты часто характеризуются многокритериальностью и часто функционируют в условиях нечеткой исходной информации, задачи формализуются в виде многокритериальных задач принятия решений в нечеткой среде. На основе модификации различных принципов оптимальности были получены новые математические формулировки решаемых задач и разработаны интерактивные эвристические алгоритмы их решения. Новизна предлагаемых подходов к решению формализованных нечетких задач от известных методов решения нечетких задач заключается в том, что задачи ставятся и решаются без предварительного преобразования их в эквивалентные детерминированные варианты, что не уменьшает потери исходной нечеткой информации и позволяет получать более адекватные и эффективные решения. Приведен пример практического применения предложенного подхода к решению задач принятия решений путем реализации одного из разработанных алгоритмов при решении задачи выбора эффективного режима работы станции подогрева нефти нефтепровода Узень-Самара в пункте Атырау.

Statements of decision-making problems for the control of fuzzy technological objects are formalized and obtained, and methods for solving them are proposed. The object of study is the heating stations of the «hot» main oil pipeline. Since such objects are often characterized by multicriteria and often operate in conditions of unclear initial information, the tasks are formalized in the form of multicriteria decisionmaking problems in a fuzzy environment. Based on the modification of various optimality principles, new mathematical formulations of the problems to be solved were obtained and interactive heuristic algorithms for solving them were developed. The novelty of the proposed approaches to solving formalized fuzzy problems from well-known methods for solving fuzzy problems lies in the fact that problems are posed and solved without first converting them to equivalent deterministic options, which does not reduce the loss of original fuzzy information and makes it possible to obtain more adequate and effective solutions. An example is given of the practical application of the proposed approach to solving decision-making problems by implementing one of the developed algorithms when solving the problem of choosing an effective operating mode for the oil heating station of the Uzen-Samara oil pipeline at the Atyrau point.

нечеткое принятие решениймногокритериальная оптимизацияинформацияфункция принадлежностипринципы оптимальностилицопринимающее решение (ЛПР)fuzzy decision-makingmulticriteria optimizationinformationmembership functionprinciples of optimalitydecision maker (DM)ReferencesDubois D. The role of fuzzy sets indecision sciences: Old techniques and new directions / D. Dubois // Fuzzy Sets and Systems. – 2011. – Vol. 184. Р. 3-28.Dubois D. The role of fuzzy sets indecision sciences: Old techniques and new directions / D. Dubois // Fuzzy Sets and Systems. – 2011. – Vol. 184. Р. 3-28.Orazbayev B.B. Development of mathematical models and modeling of chemical engineering systems under uncertainty / B.B. Orazbayev, K.N. Orazbayeva, B.T. Utenova // Theoretical Foundations of Chemical Engineering. – 2014. – № 48(2), Р. 138-148. https://doi.org/10.1134/S0040579514020092.Orazbayev B.B. Development of mathematical models and modeling of chemical engineering systems under uncertainty / B.B. Orazbayev, K.N. Orazbayeva, B.T. Utenova // Theoretical Foundations of Chemical Engineering. – 2014. – № 48(2), Р. 138-148. https://doi.org/10.1134/S0040579514020092.Methods of model synthesis and multicriteria optimization of chemical-engineering systems in the fuzzy environment / B. Orazbayev, B. Assanova, M. Bakiyev et al // Journal of Theoretical and Applied Information Technology. – 2020. № 98(06). Р. 1021-1036. https://www.scopus.com/record/display.uri?eid=2-s2.0-85083790104&origin=resultslist&sort=plf-f.Methods of model synthesis and multicriteria optimization of chemical-engineering systems in the fuzzy environment / B. Orazbayev, B. Assanova, M. Bakiyev et al // Journal of Theoretical and Applied Information Technology. – 2020. № 98(06). Р. 1021-1036. https://www.scopus.com/record/display.uri?eid=2-s2.0-85083790104&origin=resultslist&sort=plf-f.Emelyanov S.V. Mnogokriterial'nye metody prinyatiya reshenij / S.V. Emelyanov, O.I. Larichev. – Moskva: Znanie, 1986. – 57 s.Emelyanov S.V. Mnogokriterial'nye metody prinyatiya reshenij / S.V. Emelyanov, O.I. Larichev. – Moskva: Znanie, 1986. – 57 s.The System of Models and Optimization of Operating Modes of a Catalytic Reforming Unit Using Initial Fuzzy Information / B. Orazbayev, A. Zhumadillayeva, K. Orazbayeva // Energies. – 2022. – № 15(4). – Р. 1-26. https://doi.org/10.3390/en15041573.The System of Models and Optimization of Operating Modes of a Catalytic Reforming Unit Using Ini-tial Fuzzy Information / B. Orazbayev, A. Zhumadillayeva, K. Orazbayeva // Energies. – 2022. – № 15(4). – Р. 1-26. https://doi.org/10.3390/en15041573.Methods for Modeling and Op-timizing the Delayed Coking Process in a Fuzzy Environment / B. Orazbayev, E. Dyussembina, G. Uskenbayeva et al // Processes/ – 2023/ № 11. Р. 450. https://doi.org/10.3390/pr11020450.Methods for Modeling and Op-timizing the Delayed Coking Process in a Fuzzy Environment / B. Orazbayev, E. Dyussembina, G. Uskenbayeva et al // Processes/ – 2023/ № 11. Р. 450. https://doi.org/10.3390/pr11020450.Zaichenko YU.P. Issledovanie operatsii: Nechet. optimizatsiya: ucheb. posobie dlya vuzov po spets. «Avtomatizir. sistemy obrab. inform. i upravleniYA» i «Prikl. MatematikA» / YU.P. Zaichenko. – Kiev: Vyssh. shk., 1991. – 191 s.Zaichenko YU.P. Issledovanie operatsii: Nechet. optimizatsiya: ucheb. posobie dlya vuzov po spets. «Avtomatizir. sistemy obrab. inform. i upravleniYA» i «Prikl. MatematikA» / YU.P. Zaichenko. – Kiev: Vyssh. shk., 1991. – 191 s.Michaël Rademaker Aggregation of monotone reciprocal relations with application to group decision making / Michaël Rademaker, Bernard De Baets. // Fuzzy Sets and Systems. 2011. – Vol. 184. – Р. 29-51.Michaël Rademaker Aggregation of monotone reciprocal relations with application to group decision making / Michaël Rademaker, Bernard De Baets. // Fuzzy Sets and Systems. 2011. – Vol. 184. – Р. 29-51.Development of mathematical models of R-1 reactor hydrotreatment unit using available information of various types / B.B. Orazbayev, Ye.A. Ospanov, K.N. Orazbayeva et al // Journal of Physics: Conference Series. – 2019. – № 1399(45) Р. 156053. https://doi.org/10.1088/1742-6596/1399/4/044024Development of mathematical models of R-1 reactor hydrotreatment unit using available information of various types / B.B. Orazbayev, Ye.A. Ospanov, K.N. Orazbayeva et al // Journal of Physics: Conference Series. – 2019. – № 1399(45) Р. 156053. https://doi.org/10.1088/1742-6596/1399/4/044024Didier J. Dubois Fuzzy Sets and Systems: Theory and Applications: Acad. Press. N-York, 1980. – 393 s.Didier J. Dubois Fuzzy Sets and Systems: Theory and Applications: Acad. Press. N-York, 1980. – 393 s.Rykov A.S. Sistemnyj analiz: Metody mnogokriterial'nogo vybora i nechetkoj optimizacii / A.S. Rykov, B.B. Orazbaev. – M.: Metallurg, 1996. – 117 s.Rykov A.S. Sistemnyj analiz: Metody mnogokriterial'nogo vybora i nechetkoj optimi-zacii / A.S. Rykov, B.B. Orazbaev. – M.: Metallurg, 1996. – 117 s.Control of Fuzzy Technological Objects Based on Mathematical Model / B. Orazbayev, Y. Ospanov, K. et al // 16-th International Conference on Control, Automation and Systems (ICCAS 2016) Oct 18-19, 2016, in HICO, Gyengju, Korea. – P. 1487-1493.Control of Fuzzy Technologi-cal Objects Based on Mathematical Model / B. Orazbayev, Y. Ospanov, K. et al // 16-th International Conference on Control, Automation and Systems (ICCAS 2016) Oct 18-19, 2016, in HICO, Gyengju, Korea. – P. 1487-1493.Mathematical modeling and decision-making on controlling modes of technological objects in the fuzzy environment / Y.A. Ospanov, B.B. Orazbayev, K.N. Orazbayeva et al // Proceedings of the Words Congress on intelligent Control and Automation (WCICA). Guilin, China. IEEE Catalog Number: CFP16496-ART. 2016. – Р. 103-109. https://doi.org/10.1109/WCICA.2016.7578783.Mathematical mod-eling and decision-making on controlling modes of technological objects in the fuzzy environment / Y.A. Ospanov, B.B. Orazbayev, K.N. Orazbayeva et al // Proceedings of the Words Congress on intelligent Control and Automation (WCICA). Guilin, China. IEEE Catalog Number: CFP16496-ART. 2016. – Р. 103-109. https://doi.org/10.1109/WCICA.2016.7578783.Mizumoto M. Comparison of fuzzy reasoning methods / M. Mizumoto, H.J. Zimmermann // Fussy Sets and Systems. – 1982. – Vol. 8, № 3. – Р. 253-283.Mizumoto M. Comparison of fuzzy reasoning methods / M. Mizumoto, H.J. Zimmermann // Fussy Sets and Systems. – 1982. – Vol. 8, № 3. – Р. 253-283.Ghodousian A. Linear optimization with an arbitrary fuzzy relational inequality / A. Ghodousian, E. Khorram // Fuzzy Sets and Systems. – 2012. – Vol. 206. Р. 89-102.Ghodousian A. Linear optimization with an arbitrary fuzzy relational inequality / A. Ghodousian, E. Khorram // Fuzzy Sets and Systems. – 2012. – Vol. 206. Р. 89-102.Dubey D. Fuzzy linear programming under interval uncertainty based on IFS representation / D. Dubey, S. Chandra, A. Mehra // Fuzzy Sets and Systems. 2012. – Vol. 188. – Р. 68-87.Dubey D. Fuzzy linear programming under interval uncertainty based on IFS representation / D. Dubey, S. Chandra, A. Mehra // Fuzzy Sets and Systems. 2012. – Vol. 188. – Р. 68-87.Hydrotreating unit models based on statistical and fuzzy information / Tanirbergenova A., Orazbayev B., Ospanov Ye. et al // Periodicals of Engineering and Natural Sciences. – 2021. – № 9(4). Р. 242-258. https://doi.org/10.21533/pen.v9i4.2307.Hydrotreating unit models based on statistical and fuzzy information / Tanirbergenova A., Orazbayev B., Ospanov Ye. et al // Periodicals of Engineering and Natural Sciences. – 2021. – № 9(4). Р. 242-258. https://doi.org/10.21533/pen.v9i4.2307.Methods for Developing Models in a Fuzzy Environment of Reactor and Hydrotreating Furnace of a Catalytic Reforming Unit / Orazbayev B., Zhumadillayeva A., Orazbayeva K. et al // Applied Sciences. –2021. № 11(18). Р. 1-22. https://doi.org/10.3390/app11188317.Meth-ods for Developing Models in a Fuzzy Environment of Reactor and Hydrotreating Furnace of a Catalytic Re-forming Unit / Orazbayev B., Zhumadillayeva A., Orazbayeva K. et al // Applied Sciences. –2021. № 11(18). Р. 1-22. https://doi.org/10.3390/app11188317.Development of mathematical models and optimization of operation modes of the oil heating station of main oil pipelines under conditions of fuzzy initial information / Orazbayev B., Moldasheva Zh., Orazbayeva K. et al // Eastern-European Journal of Enterprise Technologies. 2021. – № 2(114). Р. 147-162. https://doi.org/10.15587/1729-4061.2021.244949.De-velopment of mathematical models and optimization of operation modes of the oil heating station of main oil pipelines under conditions of fuzzy initial information / Orazbayev B., Moldasheva Zh., Orazbayeva K. et al // Eastern-European Journal of Enterprise Technologies. 2021. – № 2(114). Р. 147-162. https://doi.org/10.15587/1729-4061.2021.244949.

The authors declare that there are no conflicts of interest present.