Using box indices in supporting comparison in multiobjective optimization |
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Authors: | Kaisa Miettinen Julián Molina Mercedes González Alfredo Hernández-Díaz Rafael Caballero |
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Institution: | 1. Department of Mathematical Information Technology, P.O. Box 35 (Agora), FI-40014, University of Jyväskylä, Finland;2. University of Málaga, Málaga, Spain;3. Pablo de Olavide University, Seville, Spain |
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Abstract: | Because of the conflicting nature of criteria or objectives, solving a multiobjective optimization problem typically requires interaction with a decision maker who can specify preference information related to the objectives in the problem in question. Due to the difficulties of dealing with multiple objectives, the way information is presented plays a very important role. Questions posed to the decision maker must be simple enough and information shown must be easy to understand. For this purpose, visualization and graphical representations can be useful and constitute one of the main tools used in the literature. In this paper, we propose to use box indices to represent information related to different solution alternatives of multiobjective optimization problems involving at least three objectives. Box indices are an intelligible and easy to handle way to represent data. They are based on evaluating the solutions in a natural and rough enough scale in order to let the decision maker easily recognize the main characteristics of a solution at a glance and to facilitate comparison of two or more solutions in an easily understandable way. |
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Keywords: | Multiple criteria programming MCDM Preference information Pareto optimality Visualization Interactive methods |
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