Choice of norm for evaluating trade-off solutions in multi-criteria optimisation problems in the control of complex objects

• Autorzy: Zak Bogdan

Identyfikatory

DOI

10.61822/amcs-2025-0016

• Języki publikacji: EN

Abstrakty

EN

When formulating multi-criteria optimisation tasks, there are two important problems to consider. The first is the selection of a number of sub-criteria such that their importance, number, and order correspond to the modelled decision-making situation, while the second is the choice of the solution method to ensure its optimality with respect to individual sub-criteria. Therefore, the solution boils down to the search for a certain compromise that takes into account the influence of individual sub-criteria on the obtained result. For these reasons, the article presents conditions for selecting the number of sub-criteria, yielding conditions of completeness, consistency, and nonredundancy that the adopted vector criterion must satisfy, as well as conditions for selecting a compromise solution to ensure the utility of all sub-criteria and a lower limit of the maximum value of the individual loss. Using the formulated conditions, a vector quality criterion was selected and a compromise solution was chosen for the task of controlling a ship in a collision situation. The method proposed in the paper can be useful for modelling any decision situation, especially in systems where the task can be solved using the ideal-point method.

Słowa kluczowe

EN

decision making; vector criterion; polyoptimisation

PL

podejmowanie decyzji; kryterium wektora; polioptymalizacja

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2025
• Tom: Vol. 35, no. 2
• Strony: 225--234
• Opis fizyczny: Bibliogr. 34 poz., rys., tab.

Twórcy

autor

Zak Bogdan

• Faculty of Mechanical and Electrical Engineering, Polish Naval Academy, Smidowicza 69, 81-127 Gdynia, Poland

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).