Finding preferred solutions under weighted Tchebycheff preference functions for multi-objective integer programs

Date

2023-07-01

Author

Karakaya, Gülşah
Köksalan, M.

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Many interactive approaches in multi-objective optimization assume the existence of an underlying preference function that represents the preferences of a decision maker (DM). In this paper, we develop the theory and an exact algorithm that guarantees finding the most preferred solution of a DM whose preferences are consistent with a Tchebycheff function for multi-objective integer programs. The algorithm occasionally presents pairs of solutions to the DM and asks which one is preferred. It utilizes the preference information together with the properties of the Tchebycheff function to generate solutions that are candidates to be the most preferred solution. We test the performance of the algorithm on a set of three and four-objective combinatorial optimization problems.

Subject Keywords

Interactive approach, Multiple objective programming, Preferred solution, Tchebycheff function

URI

https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85145172097&origin=inward
https://hdl.handle.net/11511/102369

Journal

European Journal of Operational Research

DOI

https://doi.org/10.1016/j.ejor.2022.11.043

Collections

Department of Business Administration, Article

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Citation Formats

G. Karakaya and M. Köksalan, “Finding preferred solutions under weighted Tchebycheff preference functions for multi-objective integer programs,” European Journal of Operational Research, vol. 308, no. 1, pp. 215–228, 2023, Accessed: 00, 2023. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85145172097&origin=inward.