Methods of Fuzzy Multi-Criteria Decision Making for Controlling the Operating Modes of the Stabilization Column of the Primary Oil-Refining Unit
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...
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MDPI AG
2023-06-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/13/2820 |
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| author | Batyr Orazbayev Yerbol Ospanov Valentina Makhatova Lazzat Salybek Zhanat Abdugulova Zhumazhan Kulmagambetova Salamat Suleimenova Kulman Orazbayeva |
| author_facet | Batyr Orazbayev Yerbol Ospanov Valentina Makhatova Lazzat Salybek Zhanat Abdugulova Zhumazhan Kulmagambetova Salamat Suleimenova Kulman Orazbayeva |
| author_sort | Batyr Orazbayev |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-11T01:35:45Z |
| format | Article |
| id | doaj.art-fe0e5481541047bfa647be71f0581345 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-11T01:35:45Z |
| publishDate | 2023-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-fe0e5481541047bfa647be71f05813452023-11-18T17:01:49ZengMDPI AGMathematics2227-73902023-06-011113282010.3390/math11132820Methods of Fuzzy Multi-Criteria Decision Making for Controlling the Operating Modes of the Stabilization Column of the Primary Oil-Refining UnitBatyr Orazbayev0Yerbol Ospanov1Valentina Makhatova2Lazzat Salybek3Zhanat Abdugulova4Zhumazhan Kulmagambetova5Salamat Suleimenova6Kulman Orazbayeva7Department of System Analysis and Control, L.N. Gumilyov Eurasian National University, Astana 010000, KazakhstanDepartment of Automation and Information Technology, Shakarim University, Semey 070014, KazakhstanDepartment of Software Engineering, Dosmukhamedov Atyrau University, Atyrau 010008, KazakhstanDepartment of Automation, Telecommunications, M. Auezov South Kazakhstan University, Shymkent 160000, KazakhstanDepartment of System Analysis and Control, L.N. Gumilyov Eurasian National University, Astana 010000, KazakhstanDepartment of Informatics and Information Technologies, Aktobe Regional University Named after K. Zhubanov, Aktobe 030212, KazakhstanDepartment of System Analysis and Control, L.N. Gumilyov Eurasian National University, Astana 010000, KazakhstanFaculty of Business and Management, Esil University, Astana 010005, KazakhstanMany 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.https://www.mdpi.com/2227-7390/11/13/2820multicriteria optimizationfuzzy decision makingdecision makerprinciples of optimalityheuristic methods |
| spellingShingle | Batyr Orazbayev Yerbol Ospanov Valentina Makhatova Lazzat Salybek Zhanat Abdugulova Zhumazhan Kulmagambetova Salamat Suleimenova Kulman Orazbayeva Methods of Fuzzy Multi-Criteria Decision Making for Controlling the Operating Modes of the Stabilization Column of the Primary Oil-Refining Unit Mathematics multicriteria optimization fuzzy decision making decision maker principles of optimality heuristic methods |
| title | Methods of Fuzzy Multi-Criteria Decision Making for Controlling the Operating Modes of the Stabilization Column of the Primary Oil-Refining Unit |
| title_full | Methods of Fuzzy Multi-Criteria Decision Making for Controlling the Operating Modes of the Stabilization Column of the Primary Oil-Refining Unit |
| title_fullStr | Methods of Fuzzy Multi-Criteria Decision Making for Controlling the Operating Modes of the Stabilization Column of the Primary Oil-Refining Unit |
| title_full_unstemmed | Methods of Fuzzy Multi-Criteria Decision Making for Controlling the Operating Modes of the Stabilization Column of the Primary Oil-Refining Unit |
| title_short | Methods of Fuzzy Multi-Criteria Decision Making for Controlling the Operating Modes of the Stabilization Column of the Primary Oil-Refining Unit |
| title_sort | methods of fuzzy multi criteria decision making for controlling the operating modes of the stabilization column of the primary oil refining unit |
| topic | multicriteria optimization fuzzy decision making decision maker principles of optimality heuristic methods |
| url | https://www.mdpi.com/2227-7390/11/13/2820 |
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