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Comparing reference point based interactive multiobjective optimization methods without a human decision maker

Authors: Lu Chen; Kaisa Miettinen; Bin Xin 0002; Vesa Ojalehto;

Comparing reference point based interactive multiobjective optimization methods without a human decision maker

Abstract

AbstractInteractive multiobjective optimization methods have proven promising in solving optimization problems with conflicting objectives since they iteratively incorporate preference information of a decision maker in the search for the most preferred solution. To find the appropriate interactive method for various needs involves analysis of the strengths and weaknesses. However, extensive analysis with human decision makers may be too costly and for that reason, we propose an artificial decision maker to compare a class of popular interactive multiobjective optimization methods, i.e., reference point based methods. Without involving any human decision makers, the artificial decision maker works automatically to interact with different methods to be compared and evaluate the final results. It makes a difference between a learning phase and a decision phase, that is, learns about the problem based on information acquired to identify a region of interest and refines solutions in that region to find a final solution, respectively. We adopt different types of utility functions to evaluation solutions, present corresponding performance indicators and propose two examples of artificial decision makers. A series of experiments on benchmark test problems and a water resources planning problem is conducted to demonstrate how the proposed artificial decision makers can be used to compare reference point based methods.

Country
Finland
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Keywords

Päätöksen teko monitavoitteisesti, interactive multiobjective optimization, Decision analytics utilizing causal models and multiobjective optimization, päätöksenteko, päätöksentukijärjestelmät, Multiobjective Optimization Group, monitavoiteoptimointi, Computational Science, koneoppiminen, interaktiivisuus, multicriteria optimization, learning phase, performance comparison, decision phase, Laskennallinen tiede, Multi-objective and goal programming, reference point

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
Green
hybrid