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

Orazbayev, Batyr; Ospanov, Yerbol; Makhatova, Valentina; Salybek, Lazzat; Abdugulova, Zhanat; Kulmagambetova, Zhumazhan; Suleimenova, Salamat; Orazbayeva, Kulman

doi:10.3390/math11132820

Cited by 2 publications

(2 citation statements)

References 46 publications

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“…13. Fuzzy parameters of the models are identified (5). The following approach to identifying fuzzy parameters is proposed.…”

Section: 𝑖=1mentioning

confidence: 99%

“…distillation column C-1 and atmospheric column C-2. In practice, the development of mathematical models of these columns is complicated due to the shortage and fuzziness of the necessary initial information for creating models 5 . In production conditions, it is very difficult or impossible to determine the fractional composition of the refined oil, the values of some important input and operating parameters of these columns, which influence their output parameters using measuring instruments.…”

Section: Introductionmentioning

confidence: 99%

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Development of models for the processes of primary oil refining in the atmospheric unit with a shortage and uncertainty of initial information

Orazbayev,

Kuzhuhanova,

Uskenbayeva

et al. 2024

Preprint

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In practice, when developing models of many production facilities, problems often arise related to the fuzziness of some of the initial information, affecting important indicators of the quality of the facility’s operation. The purpose of the study is to develop a systematic method for synthesizing statistical, fuzzy and linguistic models of complex objects in conditions of shortage and fuzziness of initial information. Then, using the proposed method, various models of the atmospheric unit of a primary oil refining plant are developed. At the same time, statistical models are developed on the basis of traditional methods. With crisp input and operating parameters and fuzzy output parameters, based on the proposed method, fuzzy models of the atmospheric unit are developed that determine the quality of the manufactured products. And when the input, operating and output parameters of the object are fuzzy, there have been developed linguistic models that evaluate the qualities of the target product of the atmospheric unit based on expert assessment methods, logical rules of conditional inference and the proposed method. The developed linguistic models in Fuzzy Logic Toolbox make it possible to evaluate the quality of gasoline from an atmospheric unit depending on the content of chloride salts and the mass fraction of sulfur in the raw material. The advantages of the proposed modeling method compared to known ones are shown.

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“…13. Fuzzy parameters of the models are identified (5). The following approach to identifying fuzzy parameters is proposed.…”

Section: 𝑖=1mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Development of models for the processes of primary oil refining in the atmospheric unit with a shortage and uncertainty of initial information

Orazbayev,

Kuzhuhanova,

Uskenbayeva

et al. 2024

Preprint

Self Cite

View full text Add to dashboard Cite

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Methods of Multi-Criteria Optimization of Technological Processes in a Fuzzy Environment Based on the Simplex Method and the Theory of Fuzzy Sets

Orazbayev,

Orazbayeva,

Ospanov

et al. 2024

Mathematics

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Many modern technological objects in practice are characterized by the uncertainty of the initial information necessary for their management. Recently, one of the pressing scientific and practical problems is the development of new optimization methods for controlling the operating modes of such objects in a fuzzy environment. In this regard, the objective of this study is to develop methods of multi-criteria optimization in a fuzzy environment by modifying the simplex method and various optimality principles based on fuzzy mathematics methods. The methodology of the proposed study is based on a hybrid approach, which consists of the integrated use and modification of simplex methods and optimization methods with various optimality principles for working in a fuzzy environment. The main results are as follows: a simplex method of multi-criteria optimization of immeasurable criteria (here, we are talking about the impossibility of physical measurements of criteria, the values of which are estimated by decision maker); a theorem on the convergence of the solution sequence obtained using the proposed method to the minimum value of the criteria; a heuristic method based on a modification for fuzziness and a combination of the maximin and Pareto optimality principles, which allows effectively solving multi-criteria optimization problems in a fuzzy environment. The heuristic method proposed will be used to solve a real production problem—optimization of the technological process of benzene production.

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

Cited by 2 publications

References 46 publications

Development of models for the processes of primary oil refining in the atmospheric unit with a shortage and uncertainty of initial information

Development of models for the processes of primary oil refining in the atmospheric unit with a shortage and uncertainty of initial information

Methods of Multi-Criteria Optimization of Technological Processes in a Fuzzy Environment Based on the Simplex Method and the Theory of Fuzzy Sets

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