Solving multiobjective optimization problems with decision uncertainty: an interactive approach

Yue Zhou-Kangas (), Kaisa Miettinen () and Karthik Sindhya ()
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Yue Zhou-Kangas: Faculty of Information Technology
Kaisa Miettinen: Faculty of Information Technology
Karthik Sindhya: Faculty of Information Technology

Journal of Business Economics, 2019, vol. 89, issue 1, No 2, 25-51

Abstract: Abstract We propose an interactive approach to support a decision maker to find a most preferred robust solution to multiobjective optimization problems with decision uncertainty. A new robustness measure that is understandable for the decision maker is incorporated as an additional objective in the problem formulation. The proposed interactive approach utilizes elements of the synchronous NIMBUS method and is aimed at supporting the decision maker to consider the objective function values and the robustness of a solution simultaneously. In the interactive approach, we offer different alternatives for the decision maker to express her/his preferences related to the robustness of a solution. To consolidate the interactive approach, we tailor a visualization to illustrate both the objective function values and the robustness of a solution. We demonstrate the advantages of the interactive approach by solving example problems.

Keywords: Multiple criteria decision making; Robust solutions; Interactive methods; Handling uncertainties; NIMBUS; Robustness measure (search for similar items in EconPapers)
JEL-codes: C61 (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s11573-018-0900-1

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