Object structure
Creator:

Żak, Bogdan

Contributor:

Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.

Title:

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

Group publication title:

AMCS, volume 35 (2025)

Subject and Keywords:

decision making ; vector criterion ; polyoptimisation

Abstract:

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 subcriteria. 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.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2025

Resource Type:

artykuł

DOI:

10.61822/amcs-2025-0016

Pages:

225-234

Source:

AMCS, volume 35, number 2 (2025) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego

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