Methods of Fuzzy Multi-Criteria Decision Making for Controlling the Operating Modes of the Stabilization Column of the Primary Oil-Refining Unit


Orazbayev B. Ospanov Y. Makhatova V. Salybek L. Abdugulova Z. Kulmagambetova Z. Suleimenova S. Orazbayeva K.
July 2023Multidisciplinary Digital Publishing Institute (MDPI)

Mathematics
2023#11Issue 13

Many technological systems are characterized by fuzzy initial information, necessary for the development of their models, optimization and control of operating modes. Therefore, the purpose of this study is to formulate decision making problems for optimizing and controlling operating modes of such systems in a fuzzy environment and to develop methods for solving them. The developed heuristic methods of fuzzy multi-criteria decision making are based on the modification and combination of different principles of optimality. The proposed methods based on system models, knowledge and experience of the decision maker allow iterative improvement and effective decision making. On the basis of experimental–statistical methods, methods of expert evaluation, statistical and fuzzy models of the stabilization column have been developed. The conditions for judging the fuzzy model’s effectiveness are determined and investigated. Using the proposed heuristic method based on the main criterion and maximin, the problem of two-criterion optimization of the stabilization column parameters in a fuzzy environment is solved. The results obtained confirm the advantages of the proposed method of fuzzy decision making in comparison with the results of known methods. The developed heuristic methods differ from known ones because they allow making adequate decisions in a fuzzy environment by maximizing the use of the collected fuzzy information.

decision maker , fuzzy decision making , heuristic methods , multicriteria optimization , principles of optimality

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Department of System Analysis and Control, L.N. Gumilyov Eurasian National University, Astana, 010000, Kazakhstan
Department of Automation and Information Technology, Shakarim University, Semey, 070014, Kazakhstan
Department of Software Engineering, Dosmukhamedov Atyrau University, Atyrau, 010008, Kazakhstan
Department of Automation, Telecommunications, M. Auezov South Kazakhstan University, Shymkent, 160000, Kazakhstan
Department of Informatics and Information Technologies, Aktobe Regional University Named after K. Zhubanov, Aktobe, 030212, Kazakhstan
Faculty of Business and Management, Esil University, Astana, 010005, Kazakhstan

Department of System Analysis and Control
Department of Automation and Information Technology
Department of Software Engineering
Department of Automation
Department of Informatics and Information Technologies
Faculty of Business and Management

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