Вкладені скалярні згортки в багатокритеріальних задачах
A problem of structuring of the criteria set is considered in case of large dimension multi-criteria problems solving. A notion of the nested scalar convolution is introduced. The optimization problem is to determine the arguments by extremizing the objective function Essentially...
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| Datum: | 2024 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
V.M. Glushkov Institute of Cybernetics of NAS of Ukraine
2024
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| Schlagworte: | |
| Online Zugang: | https://jais.net.ua/index.php/files/article/view/427 |
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| Назва журналу: | Problems of Control and Informatics |
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Problems of Control and Informatics| Zusammenfassung: | A problem of structuring of the criteria set is considered in case of large dimension multi-criteria problems solving. A notion of the nested scalar convolution is introduced. The optimization problem is to determine the arguments by extremizing the objective function Essentially, this function is a scalar convolution of the criteria vector reflecting the utility function of the decision maker when solving a specific optimization problem. Scalar convolution is the act of composing criteria. A criterion is a measure of the quality of functioning of object in relation to the achievement of the k-th goal. If «more» means «better», then to improve quality this criterion must be maximized. Otherwise, the criterion is minimized. For definiteness, we consider the optimization problem with minimized quality criteria. |
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