A Method of Selecting the Number of Coordinates of a Vector Criterion in a Polyoptimal Decision-Making Process
An important problem when formulating multicriteria optimization tasks is the selection of such a number of partial criteria that their meaning, number, and order correspond to the modeled decision situation. The paper proposes a method of selecting the number of criteria in polyoptimal decision-mak...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-06-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/10/13/4417 |
| _version_ | 1797564042517151744 |
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| author | Bogdan Zak |
| author_facet | Bogdan Zak |
| author_sort | Bogdan Zak |
| collection | DOAJ |
| description | An important problem when formulating multicriteria optimization tasks is the selection of such a number of partial criteria that their meaning, number, and order correspond to the modeled decision situation. The paper proposes a method of selecting the number of criteria in polyoptimal decision-making process. The conditions of completeness, coherence, and nonredundancy that must be met by the vector criterion adopted for the assessment of the decision situation were discussed. Using these conditions, the principles of selecting the number of partial criteria in the vector criterion were specified, specifying the theorem on extending or reducing the scalar criterion. Using the formulated method, a vector quality criterion was selected for the task of controlling the movement of a sailing object. The method proposed in the work can be useful for modeling any decision-making situation in such issues as designing complex systems, controlling complex objects in conditions of uncertainty, and making decisions in other systems. |
| first_indexed | 2024-03-10T18:51:49Z |
| format | Article |
| id | doaj.art-d73831f570e0425a8d2a0c769f7d4e80 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T18:51:49Z |
| publishDate | 2020-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-d73831f570e0425a8d2a0c769f7d4e802023-11-20T05:06:33ZengMDPI AGApplied Sciences2076-34172020-06-011013441710.3390/app10134417A Method of Selecting the Number of Coordinates of a Vector Criterion in a Polyoptimal Decision-Making ProcessBogdan Zak0Polish Naval Academy, Smidowicza 69, 81-127 Gdynia, PolandAn important problem when formulating multicriteria optimization tasks is the selection of such a number of partial criteria that their meaning, number, and order correspond to the modeled decision situation. The paper proposes a method of selecting the number of criteria in polyoptimal decision-making process. The conditions of completeness, coherence, and nonredundancy that must be met by the vector criterion adopted for the assessment of the decision situation were discussed. Using these conditions, the principles of selecting the number of partial criteria in the vector criterion were specified, specifying the theorem on extending or reducing the scalar criterion. Using the formulated method, a vector quality criterion was selected for the task of controlling the movement of a sailing object. The method proposed in the work can be useful for modeling any decision-making situation in such issues as designing complex systems, controlling complex objects in conditions of uncertainty, and making decisions in other systems.https://www.mdpi.com/2076-3417/10/13/4417decision makingvector criterionpolyoptimization |
| spellingShingle | Bogdan Zak A Method of Selecting the Number of Coordinates of a Vector Criterion in a Polyoptimal Decision-Making Process Applied Sciences decision making vector criterion polyoptimization |
| title | A Method of Selecting the Number of Coordinates of a Vector Criterion in a Polyoptimal Decision-Making Process |
| title_full | A Method of Selecting the Number of Coordinates of a Vector Criterion in a Polyoptimal Decision-Making Process |
| title_fullStr | A Method of Selecting the Number of Coordinates of a Vector Criterion in a Polyoptimal Decision-Making Process |
| title_full_unstemmed | A Method of Selecting the Number of Coordinates of a Vector Criterion in a Polyoptimal Decision-Making Process |
| title_short | A Method of Selecting the Number of Coordinates of a Vector Criterion in a Polyoptimal Decision-Making Process |
| title_sort | method of selecting the number of coordinates of a vector criterion in a polyoptimal decision making process |
| topic | decision making vector criterion polyoptimization |
| url | https://www.mdpi.com/2076-3417/10/13/4417 |
| work_keys_str_mv | AT bogdanzak amethodofselectingthenumberofcoordinatesofavectorcriterioninapolyoptimaldecisionmakingprocess AT bogdanzak methodofselectingthenumberofcoordinatesofavectorcriterioninapolyoptimaldecisionmakingprocess |