From investigation of expressiveness and robustness to a comprehensive value-based framework for multiple criteria sorting problems

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• dc.contributor.author Kadziński, Miłosz
• dc.contributor.author Wójcik, Michał
• dc.contributor.author Ghaderi, Mohammad
• dc.date.accessioned 2025-06-13T16:46:58Z
• dc.date.available 2025-06-13T16:46:58Z
• dc.date.issued 2025
• dc.date.updated 2025-06-13T16:46:58Z
• dc.description.abstract We adopt an experiment-oriented perspective to investigate two essential characteristics -expressiveness and robustness- of multiple criteria sorting methods. We focus on the approaches from the family of UTADIS, learning the parameters of a value-driven threshold-based model from the Decision Maker's assignment examples. Even if the considered properties are crucial for the methods' reliability and usefulness in real-world scenarios, their verification through explicit numerical tests has been so far neglected. On the one hand, expressiveness captures the models' flexibility to reproduce different preferences, including simple and complex ones, meaningfully and accurately. On the other hand, robustness reflects the ability to deliver valid recommendations and ensure proper conclusiveness given the multiplicity of compatible preference model instances. We consider different variants of UTADIS, from assuming monotonic and preferentially independent criteria to more advanced settings that relax the monotonicity constraints or represent interactions. The experimental results capture the trade-off between the considered quality dimensions, indicating that richer models are characterized by greater expressiveness and lesser robustness. We also formulate a comprehensive framework indicating when some variant should be used, given the nature of supplied preferences or problem characteristics. These findings aid decision analysts in making robust recommendations in different contexts and help refine preference modeling assumptions. The framework's practical use is illustrated in a case study involving sorting mobile phone models into pre-defined preference-ordered classes.
• dc.format.mimetype application/pdf
• dc.identifier.citation Kadziński M, Wójcik M, Ghaderi M. From investigation of expressiveness and robustness to a comprehensive value-based framework for multiple criteria sorting problems. Omega. 2025 Feb;131:103203. DOI: 10.1016/j.omega.2024.103203
• dc.identifier.doi http://dx.doi.org/10.1016/j.omega.2024.103203
• dc.identifier.issn 0305-0483
• dc.identifier.uri http://hdl.handle.net/10230/70687
• dc.language.iso eng
• dc.publisher Elsevier
• dc.relation.ispartof Omega. 2025 Feb;131:103203
• dc.rights © 2024 The Authors. Published by Elsevier Ltd. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
• dc.rights.accessRights info:eu-repo/semantics/openAccess
• dc.rights.uri http://creativecommons.org/licenses/by/4.0/
• dc.subject.keyword Multiple criteria decision aiding
• dc.subject.keyword Sorting
• dc.subject.keyword Model expressiveness
• dc.subject.keyword Recommendation robustness
• dc.subject.keyword Interactions
• dc.subject.keyword Non-monotonicity
• dc.title From investigation of expressiveness and robustness to a comprehensive value-based framework for multiple criteria sorting problems
• dc.type info:eu-repo/semantics/article
• dc.type.version info:eu-repo/semantics/publishedVersion